Thermodynamics of black hole horizons and Kerr/CFT correspondence

A bstract In this paper we investigate the thermodynamics of the inner horizon and its implication on the holographic description of the black hole. We focus on the black holes with two physical horizons. Under reasonable assumption, we prove that the first law of thermodynamics of the outer horizon...

Full description

Saved in:
Bibliographic Details
Published inThe journal of high energy physics Vol. 2012; no. 11
Main Authors Chen, Bin, Liu, Shenxiu, Zhang, Jia-ju
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.11.2012
Springer Nature B.V
Subjects
Online AccessGet full text

Cover

Loading…
Abstract A bstract In this paper we investigate the thermodynamics of the inner horizon and its implication on the holographic description of the black hole. We focus on the black holes with two physical horizons. Under reasonable assumption, we prove that the first law of thermodynamics of the outer horizon always indicates that of the inner horizon. As a result, the fact that the area product being mass-independent is equivalent to the relation T + S + = T − S − , with T ± and S ± being the Hawking temperatures and the entropies of the outer and inner horizons respectively. We find that the mass-independence of entropy product breaks down in general Myers-Perry black holes with spacetime dimension d  ≥ 6 and Kerr-AdS black holes with d  ≥ 4. Moreover we discuss the implication of the first laws of the outer and inner horizons on the thermodynamics of the right- and left-moving sectors of dual CFT in Kerr/CFT correspondence. We show that once the relation T + S + = T − S − is satisfied, the central charges of two sectors must be same. Furthermore from the thermodynamics relations, we read the dimensionless temperatures of microscopic CFT, which are in exact agreement with the ones obtained from hidden conformal symmetry in the low frequency scattering off the black holes, and then determine the central charges. This method works well in well-known cases in Kerr/CFT correspondence, and reproduce successfully the holographic pictures for 4D Kerr-Newman and 5D Kerr black holes. We go on to predict the central charges and temperatures of a possible holographic CFT description dual to 5D doubly rotating black ring.
AbstractList A bstract In this paper we investigate the thermodynamics of the inner horizon and its implication on the holographic description of the black hole. We focus on the black holes with two physical horizons. Under reasonable assumption, we prove that the first law of thermodynamics of the outer horizon always indicates that of the inner horizon. As a result, the fact that the area product being mass-independent is equivalent to the relation T + S + = T − S − , with T ± and S ± being the Hawking temperatures and the entropies of the outer and inner horizons respectively. We find that the mass-independence of entropy product breaks down in general Myers-Perry black holes with spacetime dimension d  ≥ 6 and Kerr-AdS black holes with d  ≥ 4. Moreover we discuss the implication of the first laws of the outer and inner horizons on the thermodynamics of the right- and left-moving sectors of dual CFT in Kerr/CFT correspondence. We show that once the relation T + S + = T − S − is satisfied, the central charges of two sectors must be same. Furthermore from the thermodynamics relations, we read the dimensionless temperatures of microscopic CFT, which are in exact agreement with the ones obtained from hidden conformal symmetry in the low frequency scattering off the black holes, and then determine the central charges. This method works well in well-known cases in Kerr/CFT correspondence, and reproduce successfully the holographic pictures for 4D Kerr-Newman and 5D Kerr black holes. We go on to predict the central charges and temperatures of a possible holographic CFT description dual to 5D doubly rotating black ring.
In this paper we investigate the thermodynamics of the inner horizon and its implication on the holographic description of the black hole. We focus on the black holes with two physical horizons. Under reasonable assumption, we prove that the first law of thermodynamics of the outer horizon always indicates that of the inner horizon. As a result, the fact that the area product being mass-independent is equivalent to the relation T+S+ = T−S−, with T± and S± being the Hawking temperatures and the entropies of the outer and inner horizons respectively. We find that the mass-independence of entropy product breaks down in general Myers-Perry black holes with spacetime dimension d ≥ 6 and Kerr-AdS black holes with d ≥ 4. Moreover we discuss the implication of the first laws of the outer and inner horizons on the thermodynamics of the right- and left-moving sectors of dual CFT in Kerr/CFT correspondence. We show that once the relation T+S+ = T−S− is satisfied, the central charges of two sectors must be same. Furthermore from the thermodynamics relations, we read the dimensionless temperatures of microscopic CFT, which are in exact agreement with the ones obtained from hidden conformal symmetry in the low frequency scattering off the black holes, and then determine the central charges. This method works well in well-known cases in Kerr/CFT correspondence, and reproduce successfully the holographic pictures for 4D Kerr-Newman and 5D Kerr black holes. We go on to predict the central charges and temperatures of a possible holographic CFT description dual to 5D doubly rotating black ring.
ArticleNumber 17
Author Chen, Bin
Zhang, Jia-ju
Liu, Shenxiu
Author_xml – sequence: 1
  givenname: Bin
  surname: Chen
  fullname: Chen, Bin
  email: bchen01@pku.edu.cn
  organization: Department of Physics, Peking University, State Key Laboratory of Nuclear Physics and Technology, Peking University, Center for High Energy Physics, Peking University
– sequence: 2
  givenname: Shenxiu
  surname: Liu
  fullname: Liu, Shenxiu
  organization: Department of Physics, Peking University
– sequence: 3
  givenname: Jia-ju
  surname: Zhang
  fullname: Zhang, Jia-ju
  organization: Department of Physics, Peking University, State Key Laboratory of Nuclear Physics and Technology, Peking University
BookMark eNp1kE1PAjEQhhuDiYCevW7iRQ_rTtv96pEQEJVED3huut2pgNBiCwf89ZasiV68zEwy70fyDEjPOouEXFO4pwBV9jSbvFJ6y4CyO6DVGelTYCKt80r0_twXZBDCGoAWVECfjBZL9FvXHq3arnRInEmajdIfydJtMA6_-nI2JMq2yTN6n42ni0Q77zHsnG3Rarwk50ZtAl797CF5m04W41k6f3l4HI_mqeYU9qnijS7aEnVbm4q3FS9MUTKGuTJCoeAKkDLWFBXTtWi0AV6wIn5AlCjqHPiQ3HS5O-8-Dxj2cu0O3sZKybioWS7yUkRV1qm0dyF4NHLnV1vlj5KCPHGSHSd54iQjp-iAzhGi0r6j_839z_INs89rKw
CitedBy_id crossref_primary_10_1007_JHEP06_2019_131
crossref_primary_10_1007_JHEP02_2024_105
crossref_primary_10_1007_JHEP07_2013_164
crossref_primary_10_3390_galaxies3010053
crossref_primary_10_1103_PhysRevD_89_044034
crossref_primary_10_1007_JHEP09_2016_161
crossref_primary_10_1016_j_physletb_2015_01_018
crossref_primary_10_1142_S0217732320500704
crossref_primary_10_1140_epjc_s10052_022_10821_z
crossref_primary_10_1103_PhysRevD_100_126016
crossref_primary_10_1142_S0217732317500900
crossref_primary_10_1007_JHEP03_2013_102
crossref_primary_10_1209_0295_5075_115_30003
crossref_primary_10_1140_epjp_i2018_12019_9
crossref_primary_10_1007_JHEP05_2015_074
crossref_primary_10_1134_S0202289317040132
crossref_primary_10_1142_S0218271817500109
crossref_primary_10_1088_1361_6382_aa66fa
crossref_primary_10_1140_epjc_s10052_014_2887_2
crossref_primary_10_1007_JHEP01_2013_155
crossref_primary_10_1103_PhysRevD_88_044003
crossref_primary_10_1007_JHEP01_2014_031
crossref_primary_10_1016_j_physletb_2014_06_063
crossref_primary_10_1016_j_physletb_2015_04_050
crossref_primary_10_1103_PhysRevD_87_104017
crossref_primary_10_1007_JHEP01_2015_075
crossref_primary_10_1007_JHEP03_2020_127
crossref_primary_10_1103_PhysRevD_104_124003
crossref_primary_10_1209_0295_5075_125_60002
crossref_primary_10_1103_PhysRevD_106_066007
crossref_primary_10_1142_S0217751X14501723
crossref_primary_10_1142_S0217751X23500902
crossref_primary_10_1007_JHEP03_2014_014
crossref_primary_10_1103_PhysRevD_88_044011
crossref_primary_10_1103_PhysRevD_91_064032
crossref_primary_10_1142_S0217751X23500343
crossref_primary_10_1140_epjc_s10052_020_8045_0
crossref_primary_10_1088_0264_9381_33_15_155013
crossref_primary_10_1142_S0218271819501098
crossref_primary_10_1007_JHEP04_2013_055
crossref_primary_10_1140_epjc_s10052_023_12253_9
crossref_primary_10_1140_epjc_s10052_023_11761_y
crossref_primary_10_1209_0295_5075_119_20003
crossref_primary_10_1142_S0217751X19502166
crossref_primary_10_1016_j_cjph_2021_04_005
crossref_primary_10_1142_S0217751X14500882
crossref_primary_10_1209_0295_5075_120_40006
crossref_primary_10_1103_PhysRevD_87_081505
crossref_primary_10_3390_universe5020057
crossref_primary_10_1016_j_aop_2016_06_014
crossref_primary_10_1016_j_physletb_2014_10_052
crossref_primary_10_1016_j_cjph_2023_03_005
crossref_primary_10_1134_S1063776116010088
crossref_primary_10_1007_JHEP10_2021_027
crossref_primary_10_1142_S0217732315501709
Cites_doi 10.1103/PhysRevLett.106.121301
10.1103/PhysRevLett.102.221102
10.1103/PhysRevLett.93.171102
10.1016/j.nuclphysbps.2011.04.155
10.1088/1126-6708/2009/09/088
10.1016/S0550-3213(97)00541-5
10.1103/PhysRevLett.88.101101
10.1016/0550-3213(96)00355-0
10.1007/JHEP05(2011)003
10.1088/1126-6708/2009/04/019
10.1007/JHEP06(2012)023
10.1088/0264-9381/22/9/002
10.1007/JHEP04(2011)013
10.1103/PhysRevLett.109.031101
10.1016/j.nuclphysb.2011.11.014
10.1007/JHEP07(2010)039
10.1103/PhysRevLett.69.1849
10.1088/0264-9381/17/2/310
10.1088/0264-9381/25/22/222001
10.1007/s00023-009-0012-0
10.1007/JHEP06(2010)018
10.1016/j.geomphys.2004.05.001
10.1088/0264-9381/23/20/R01
10.1007/JHEP08(2010)087
10.1007/BF01645742
10.1016/0003-4916(86)90186-7
10.1016/0370-2693(96)00345-0
10.1007/BF02743435
10.1007/BF02739031
10.1007/BF03399503
10.1103/PhysRevLett.30.71
10.1007/JHEP04(2011)076
10.1016/j.physletb.2006.06.066
ContentType Journal Article
Copyright SISSA, Trieste, Italy 2012
SISSA, Trieste, Italy 2012.
Copyright_xml – notice: SISSA, Trieste, Italy 2012
– notice: SISSA, Trieste, Italy 2012.
DBID AAYXX
CITATION
8FE
8FG
ABUWG
AFKRA
ARAPS
AZQEC
BENPR
BGLVJ
CCPQU
DWQXO
HCIFZ
P5Z
P62
PIMPY
PQEST
PQQKQ
PQUKI
PRINS
DOI 10.1007/JHEP11(2012)017
DatabaseName CrossRef
ProQuest SciTech Collection
ProQuest Technology Collection
ProQuest Central (Alumni)
ProQuest Central
Advanced Technologies & Aerospace Collection
ProQuest Central Essentials
ProQuest Central
Technology Collection
ProQuest One Community College
ProQuest Central Korea
SciTech Premium Collection
Advanced Technologies & Aerospace Database
ProQuest Advanced Technologies & Aerospace Collection
Publicly Available Content Database
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Academic
ProQuest One Academic UKI Edition
ProQuest Central China
DatabaseTitle CrossRef
Publicly Available Content Database
Advanced Technologies & Aerospace Collection
Technology Collection
ProQuest Advanced Technologies & Aerospace Collection
ProQuest Central Essentials
ProQuest One Academic Eastern Edition
ProQuest Central (Alumni Edition)
SciTech Premium Collection
ProQuest One Community College
ProQuest Technology Collection
ProQuest SciTech Collection
ProQuest Central China
ProQuest Central
Advanced Technologies & Aerospace Database
ProQuest One Academic UKI Edition
ProQuest Central Korea
ProQuest One Academic
DatabaseTitleList
Publicly Available Content Database
Database_xml – sequence: 1
  dbid: 8FG
  name: ProQuest Technology Collection
  url: https://search.proquest.com/technologycollection1
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Physics
EISSN 1029-8479
ExternalDocumentID 10_1007_JHEP11_2012_017
GroupedDBID -5F
-5G
-A0
-BR
0R~
0VY
199
1N0
30V
4.4
408
40D
5GY
8TC
8UJ
95.
AAIAL
AAKKN
AARHV
AAYZJ
ABTEG
ACACY
ACBXY
ACGFS
ACHIP
ACREN
ADINQ
ADKPE
ADRFC
AEGXH
AENEX
AFGXO
AFKRA
AFLOW
AFNRJ
AFWTZ
AHBXF
AHBYD
AHSBF
AIBLX
ALMA_UNASSIGNED_HOLDINGS
AMKLP
AMTXH
ARAPS
ASPBG
ATQHT
AVWKF
AZFZN
BENPR
BGLVJ
BGNMA
C24
C6C
CCPQU
COF
CS3
CSCUP
DU5
EBS
EJD
ER.
FEDTE
GQ6
GROUPED_DOAJ
HCIFZ
HF~
HLICF
HMJXF
HVGLF
HZ~
IHE
KOV
LAP
M45
M4Y
M~E
N5L
N9A
NB0
NT-
NT.
NU0
O9-
O93
P62
P9T
PIMPY
Q02
R9I
RO9
RPA
RSV
S27
S3B
SOJ
SPH
T13
U2A
VC2
VSI
WK8
XPP
Z45
ZMT
02O
1JI
1PV
1WK
2VQ
5VS
5ZI
8FE
8FG
AAFWJ
AAGCD
AAGCF
AAJIO
AALHV
AATNI
AAYXX
AAYZH
ABEEZ
ACAFW
ACMRT
ACULB
ADBBV
AEFHF
AEJGL
AERVB
AFPKN
AGJBK
AHSEE
AHYZX
AIYBF
AKPSB
AOAED
BAPOH
BBWZM
BCNDV
CAG
CITATION
CJUJL
CRLBU
EDWGO
EMSAF
EPQRW
EQZZN
H13
HAK
IJHAN
IOP
IZVLO
JCGBZ
KOT
OK1
PJBAE
PROAC
R4D
RIN
RKQ
RNS
ROL
S1Z
S3P
SY9
T37
TUS
ABUWG
AZQEC
DWQXO
PQEST
PQQKQ
PQUKI
PRINS
ID FETCH-LOGICAL-c310t-a3bc5d6ecd8f73d735f5622e4af9ae93a0e122b572c89bcf035259ae096e98403
IEDL.DBID C24
ISSN 1029-8479
IngestDate Tue Nov 05 15:33:58 EST 2024
Fri Dec 06 06:23:54 EST 2024
Sat Dec 16 12:01:57 EST 2023
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 11
Keywords Gauge-gravity correspondence
Black Holes
Language English
License http://www.springer.com/tdm
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c310t-a3bc5d6ecd8f73d735f5622e4af9ae93a0e122b572c89bcf035259ae096e98403
OpenAccessLink https://www.proquest.com/docview/2398249469?pq-origsite=%requestingapplication%
PQID 2398249469
PQPubID 2034718
ParticipantIDs proquest_journals_2398249469
crossref_primary_10_1007_JHEP11_2012_017
springer_journals_10_1007_JHEP11_2012_017
PublicationCentury 2000
PublicationDate 2012-11-01
PublicationDateYYYYMMDD 2012-11-01
PublicationDate_xml – month: 11
  year: 2012
  text: 2012-11-01
  day: 01
PublicationDecade 2010
PublicationPlace Berlin/Heidelberg
PublicationPlace_xml – name: Berlin/Heidelberg
– name: Heidelberg
PublicationTitle The journal of high energy physics
PublicationTitleAbbrev J. High Energ. Phys
PublicationYear 2012
Publisher Springer-Verlag
Springer Nature B.V
Publisher_xml – name: Springer-Verlag
– name: Springer Nature B.V
References Ansorg, Hennig (CR7) 2009; 102
Krishnan (CR43) 2010; 07
Allahverdizadeh, Kunz, Navarro-Lerida (CR27) 2010; D 82
Detournay (CR18) 2012; 109
Cvetič, Larsen (CR12) 1997; D 56
Chen, Zhang (CR42) 2011; 08
Bredberg, Keeler, Lysov, Strominger (CR4) 2011; 216
Wang, Liu (CR38) 2010; 08
CR5
Guica, Hartman, Song, Strominger (CR2) 2009; D 80
CR48
Cvetič, Larsen (CR13) 1997; B 506
CR47
CR46
Curir, Francaviglia (CR21) 1979; 52B
Hennig, Ansorg (CR8) 2009; 10
Cvetič, Youm (CR9) 1996; B 476
Cvetič, Youm (CR10) 1996; D 54
Gibbons, Lü, Page, Pope (CR30) 2004; 93
Cvetič, Larsen (CR14) 2009; 09
Myers, Perry (CR23) 1986; 172
Ansorg, Hennig (CR6) 2008; 25
Carter (CR31) 1968; 10
Bañados, Teitelboim, Zanelli (CR32) 1992; 69
Chen, Zhang, Zhang (CR50) 2011; D 84
Caldarelli, Cognola, Klemm (CR36) 2000; 17
CR19
Gibbons, Perry, Pope (CR35) 2005; 22
Curir (CR20) 1979; 51B
Hartman, Murata, Nishioka, Strominger (CR37) 2009; 04
Anninos, de Buyl, Detournay (CR49) 2011; 05
Bardeen, Carter, Hawking (CR52) 1973; 31
Castro, Maloney, Strominger (CR3) 2010; D 82
Visser (CR17) 2012; 06
Kunz, Navarro-Lerida, Viebahn (CR26) 2006; B 639
CR51
Castro, Rodriguez (CR16) 2012; D 86
Chen, Huang, Sun, Wu, Zou (CR40) 2010; D 82
Smarr (CR22) 1973; 30
Caldarelli, Emparan, Van Pol (CR28) 2011; 04
Aliev (CR25) 2006; D 74
Larsen (CR11) 1997; D 56
Chen, Zhang (CR41) 2012; B 856
Gibbons, Lü, Page, Pope (CR29) 2005; 53
Hawking, Hunter, Taylor (CR34) 1999; D 59
Emparan, Reall (CR44) 2002; 88
Cvetič, Gibbons, Pope (CR15) 2011; 106
CR24
Emparan, Reall (CR45) 2006; 23
Strominger, Vafa (CR1) 1996; B 379
Bañados, Henneaux, Teitelboim, Zanelli (CR33) 1993; D 48
Chen, Long (CR39) 2010; 06
M Ansorg (5041_CR7) 2009; 102
M Cvetič (5041_CR9) 1996; B 476
M Cvetič (5041_CR14) 2009; 09
T Hartman (5041_CR37) 2009; 04
RC Myers (5041_CR23) 1986; 172
A Curir (5041_CR20) 1979; 51B
M Cvetič (5041_CR15) 2011; 106
B Chen (5041_CR50) 2011; D 84
G Gibbons (5041_CR30) 2004; 93
J Hennig (5041_CR8) 2009; 10
Y-Q Wang (5041_CR38) 2010; 08
M Bañados (5041_CR32) 1992; 69
A Castro (5041_CR16) 2012; D 86
5041_CR48
M Visser (5041_CR17) 2012; 06
5041_CR47
5041_CR46
A Strominger (5041_CR1) 1996; B 379
M Allahverdizadeh (5041_CR27) 2010; D 82
M Guica (5041_CR2) 2009; D 80
R Emparan (5041_CR44) 2002; 88
B Carter (5041_CR31) 1968; 10
B Chen (5041_CR41) 2012; B 856
J Kunz (5041_CR26) 2006; B 639
5041_CR19
A Castro (5041_CR3) 2010; D 82
B Chen (5041_CR42) 2011; 08
5041_CR51
A Curir (5041_CR21) 1979; 52B
M Cvetič (5041_CR10) 1996; D 54
S Detournay (5041_CR18) 2012; 109
G Gibbons (5041_CR35) 2005; 22
5041_CR5
C-M Chen (5041_CR40) 2010; D 82
R Emparan (5041_CR45) 2006; 23
A Aliev (5041_CR25) 2006; D 74
M Bañados (5041_CR33) 1993; D 48
C Krishnan (5041_CR43) 2010; 07
5041_CR24
M Cvetič (5041_CR13) 1997; B 506
5041_CR22
MM Caldarelli (5041_CR36) 2000; 17
M Ansorg (5041_CR6) 2008; 25
JM Bardeen (5041_CR52) 1973; 31
MM Caldarelli (5041_CR28) 2011; 04
B Chen (5041_CR39) 2010; 06
F Larsen (5041_CR11) 1997; D 56
S Hawking (5041_CR34) 1999; D 59
I Bredberg (5041_CR4) 2011; 216
G Gibbons (5041_CR29) 2005; 53
D Anninos (5041_CR49) 2011; 05
M Cvetič (5041_CR12) 1997; D 56
References_xml – volume: D 59
  start-page: 064005
  year: 1999
  ident: CR34
  article-title: Rotation and the AdS/CFT correspondence
  publication-title: Phys. Rev.
  contributor:
    fullname: Taylor
– volume: 10
  start-page: 280
  year: 1968
  ident: CR31
  article-title: Hamilton-Jacobi and Schrödinger separable solutions of Einstein’s equations
  publication-title: Commun. Math. Phys.
  contributor:
    fullname: Carter
– volume: 106
  start-page: 121301
  year: 2011
  ident: CR15
  article-title: Universal Area Product Formulae for Rotating and Charged Black Holes in Four and Higher Dimensions
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.106.121301
  contributor:
    fullname: Pope
– volume: 102
  start-page: 221102
  year: 2009
  ident: CR7
  article-title: The Inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter in Einstein-Maxwell theory
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.102.221102
  contributor:
    fullname: Hennig
– ident: CR51
– volume: 93
  start-page: 171102
  year: 2004
  ident: CR30
  article-title: Rotating black holes in higher dimensions with a cosmological constant
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.93.171102
  contributor:
    fullname: Pope
– volume: 216
  start-page: 194
  year: 2011
  ident: CR4
  article-title: Cargese Lectures on the Kerr/CFT Correspondence
  publication-title: Nucl. Phys. Proc. Suppl.
  doi: 10.1016/j.nuclphysbps.2011.04.155
  contributor:
    fullname: Strominger
– volume: 09
  start-page: 088
  year: 2009
  ident: CR14
  article-title: Greybody Factors and Charges in Kerr/CFT
  publication-title: JHEP
  doi: 10.1088/1126-6708/2009/09/088
  contributor:
    fullname: Larsen
– volume: B 506
  start-page: 107
  year: 1997
  ident: CR13
  article-title: Grey body factors for rotating black holes in four-dimensions
  publication-title: Nucl. Phys.
  doi: 10.1016/S0550-3213(97)00541-5
  contributor:
    fullname: Larsen
– volume: D 82
  start-page: 066004
  year: 2010
  ident: CR40
  article-title: Twofold Hidden Conformal Symmetries of the Kerr-Newman Black Hole
  publication-title: Phys. Rev.
  contributor:
    fullname: Zou
– volume: 88
  start-page: 101101
  year: 2002
  ident: CR44
  article-title: A Rotating black ring solution in five-dimensions
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.88.101101
  contributor:
    fullname: Reall
– volume: B 476
  start-page: 118
  year: 1996
  ident: CR9
  article-title: General rotating five-dimensional black holes of toroidally compactified heterotic string
  publication-title: Nucl. Phys.
  doi: 10.1016/0550-3213(96)00355-0
  contributor:
    fullname: Youm
– ident: CR46
– ident: CR19
– volume: D 48
  start-page: 1506
  year: 1993
  ident: CR33
  article-title: Geometry of the (2+1) black hole
  publication-title: Phys. Rev.
  contributor:
    fullname: Zanelli
– volume: D 86
  start-page: 024008
  year: 2012
  ident: CR16
  article-title: Universal properties and the first law of black hole inner mechanics
  publication-title: Phys. Rev.
  contributor:
    fullname: Rodriguez
– volume: D 56
  start-page: 1005
  year: 1997
  ident: CR11
  article-title: A String model of black hole microstates
  publication-title: Phys. Rev.
  contributor:
    fullname: Larsen
– volume: 52B
  start-page: 165
  year: 1979
  ident: CR21
  article-title: Spin thermodynamics of a Kerr black hole
  publication-title: Nuovo Cimento
  contributor:
    fullname: Francaviglia
– volume: D 74
  start-page: 024011
  year: 2006
  ident: CR25
  article-title: Rotating black holes in higher dimensional Einstein-Maxwell gravity
  publication-title: Phys. Rev.
  contributor:
    fullname: Aliev
– volume: 05
  start-page: 003
  year: 2011
  ident: CR49
  article-title: Holography For a de Sitter-Esque Geometry
  publication-title: JHEP
  doi: 10.1007/JHEP05(2011)003
  contributor:
    fullname: Detournay
– volume: B 379
  start-page: 99
  year: 1996
  ident: CR1
  article-title: Microscopic origin of the Bekenstein-Hawking entropy
  publication-title: Phys. Lett.
  contributor:
    fullname: Vafa
– ident: CR5
– volume: 51B
  start-page: 262
  year: 1979
  ident: CR20
  article-title: Spin entropy of a rotating black hole
  publication-title: Nuovo Cimento
  contributor:
    fullname: Curir
– volume: 04
  start-page: 019
  year: 2009
  ident: CR37
  article-title: CFT Duals for Extreme Black Holes
  publication-title: JHEP
  doi: 10.1088/1126-6708/2009/04/019
  contributor:
    fullname: Strominger
– volume: 06
  start-page: 023
  year: 2012
  ident: CR17
  article-title: Quantization of area for event and Cauchy horizons of the Kerr-Newman black hole
  publication-title: JHEP
  doi: 10.1007/JHEP06(2012)023
  contributor:
    fullname: Visser
– volume: 22
  start-page: 1503
  year: 2005
  ident: CR35
  article-title: The First law of thermodynamics for Kerr-anti-de Sitter black holes
  publication-title: Class. Quant. Grav.
  doi: 10.1088/0264-9381/22/9/002
  contributor:
    fullname: Pope
– volume: 04
  start-page: 013
  year: 2011
  ident: CR28
  article-title: Higher-dimensional Rotating Charged Black Holes
  publication-title: JHEP
  doi: 10.1007/JHEP04(2011)013
  contributor:
    fullname: Van Pol
– ident: CR47
– volume: 109
  start-page: 031101
  year: 2012
  ident: CR18
  article-title: Inner Mechanics of 3d Black Holes
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.109.031101
  contributor:
    fullname: Detournay
– volume: D 82
  start-page: 024030
  year: 2010
  ident: CR27
  article-title: Extremal Charged Rotating Black Holes in Odd Dimensions
  publication-title: Phys. Rev.
  contributor:
    fullname: Navarro-Lerida
– volume: B 856
  start-page: 449
  year: 2012
  ident: CR41
  article-title: Novel CFT Duals for Extreme Black Holes
  publication-title: Nucl. Phys.
  doi: 10.1016/j.nuclphysb.2011.11.014
  contributor:
    fullname: Zhang
– volume: 07
  start-page: 039
  year: 2010
  ident: CR43
  article-title: Hidden Conformal Symmetries of Five-Dimensional Black Holes
  publication-title: JHEP
  doi: 10.1007/JHEP07(2010)039
  contributor:
    fullname: Krishnan
– volume: D 56
  start-page: 4994
  year: 1997
  ident: CR12
  article-title: General rotating black holes in string theory: Grey body factors and event horizons
  publication-title: Phys. Rev.
  contributor:
    fullname: Larsen
– volume: 69
  start-page: 1849
  year: 1992
  ident: CR32
  article-title: The Black hole in three-dimensional space-time
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.69.1849
  contributor:
    fullname: Zanelli
– volume: D 84
  start-page: 124039
  year: 2011
  ident: CR50
  article-title: Quasi-normal Modes and Hidden Conformal Symmetry of Warped dS Black Hole
  publication-title: Phys. Rev.
  contributor:
    fullname: Zhang
– volume: 17
  start-page: 399
  year: 2000
  ident: CR36
  article-title: Thermodynamics of Kerr-Newman-AdS black holes and conformal field theories
  publication-title: Class. Quant. Grav.
  doi: 10.1088/0264-9381/17/2/310
  contributor:
    fullname: Klemm
– volume: D 54
  start-page: 2612
  year: 1996
  ident: CR10
  article-title: Entropy of nonextreme charged rotating black holes in string theory
  publication-title: Phys. Rev.
  contributor:
    fullname: Youm
– volume: 25
  start-page: 222001
  year: 2008
  ident: CR6
  article-title: The Inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter
  publication-title: Class. Quant. Grav.
  doi: 10.1088/0264-9381/25/22/222001
  contributor:
    fullname: Hennig
– volume: 10
  start-page: 1075
  year: 2009
  ident: CR8
  article-title: The Inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter in Einstein-Maxwell theory: Study in terms of soliton methods
  publication-title: Annales Henri Poincaré
  doi: 10.1007/s00023-009-0012-0
  contributor:
    fullname: Ansorg
– ident: CR48
– volume: 06
  start-page: 018
  year: 2010
  ident: CR39
  article-title: Real-time Correlators and Hidden Conformal Symmetry in Kerr/CFT Correspondence
  publication-title: JHEP
  doi: 10.1007/JHEP06(2010)018
  contributor:
    fullname: Long
– volume: 53
  start-page: 49
  year: 2005
  ident: CR29
  article-title: The General Kerr-de Sitter metrics in all dimensions
  publication-title: J. Geom. Phys.
  doi: 10.1016/j.geomphys.2004.05.001
  contributor:
    fullname: Pope
– volume: 23
  start-page: R169
  year: 2006
  ident: CR45
  article-title: Black Rings
  publication-title: Class. Quant. Grav.
  doi: 10.1088/0264-9381/23/20/R01
  contributor:
    fullname: Reall
– volume: 30
  start-page: 71
  year: 1973
  ident: CR22
  article-title: Mass formula for Kerr black holes
  publication-title: Phys. Rev. Lett.
  contributor:
    fullname: Smarr
– volume: B 639
  start-page: 362
  year: 2006
  ident: CR26
  article-title: Charged rotating black holes in odd dimensions
  publication-title: Phys. Lett.
  contributor:
    fullname: Viebahn
– volume: 08
  start-page: 087
  year: 2010
  ident: CR38
  article-title: Hidden Conformal Symmetry of the Kerr-Newman Black Hole
  publication-title: JHEP
  doi: 10.1007/JHEP08(2010)087
  contributor:
    fullname: Liu
– volume: 08
  start-page: 114
  year: 2011
  ident: CR42
  article-title: General Hidden Conformal Symmetry of 4D Kerr-Newman and 5D Kerr Black Holes
  publication-title: JHEP
  contributor:
    fullname: Zhang
– volume: D 82
  start-page: 024008
  year: 2010
  ident: CR3
  article-title: Hidden Conformal Symmetry of the Kerr Black Hole
  publication-title: Phys. Rev.
  contributor:
    fullname: Strominger
– volume: 31
  start-page: 161
  year: 1973
  ident: CR52
  article-title: The Four laws of black hole mechanics
  publication-title: Commun. Math. Phys.
  doi: 10.1007/BF01645742
  contributor:
    fullname: Hawking
– volume: D 80
  start-page: 124008
  year: 2009
  ident: CR2
  article-title: The Kerr/CFT Correspondence
  publication-title: Phys. Rev.
  contributor:
    fullname: Strominger
– ident: CR24
– volume: 172
  start-page: 304
  year: 1986
  ident: CR23
  article-title: Black Holes in Higher Dimensional Space-Times
  publication-title: Annals Phys.
  doi: 10.1016/0003-4916(86)90186-7
  contributor:
    fullname: Perry
– volume: B 379
  start-page: 99
  year: 1996
  ident: 5041_CR1
  publication-title: Phys. Lett.
  doi: 10.1016/0370-2693(96)00345-0
  contributor:
    fullname: A Strominger
– volume: 04
  start-page: 019
  year: 2009
  ident: 5041_CR37
  publication-title: JHEP
  doi: 10.1088/1126-6708/2009/04/019
  contributor:
    fullname: T Hartman
– volume: 08
  start-page: 087
  year: 2010
  ident: 5041_CR38
  publication-title: JHEP
  doi: 10.1007/JHEP08(2010)087
  contributor:
    fullname: Y-Q Wang
– volume: 102
  start-page: 221102
  year: 2009
  ident: 5041_CR7
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.102.221102
  contributor:
    fullname: M Ansorg
– volume: D 82
  start-page: 066004
  year: 2010
  ident: 5041_CR40
  publication-title: Phys. Rev.
  contributor:
    fullname: C-M Chen
– volume: B 506
  start-page: 107
  year: 1997
  ident: 5041_CR13
  publication-title: Nucl. Phys.
  doi: 10.1016/S0550-3213(97)00541-5
  contributor:
    fullname: M Cvetič
– volume: 51B
  start-page: 262
  year: 1979
  ident: 5041_CR20
  publication-title: Nuovo Cimento
  doi: 10.1007/BF02743435
  contributor:
    fullname: A Curir
– volume: 22
  start-page: 1503
  year: 2005
  ident: 5041_CR35
  publication-title: Class. Quant. Grav.
  doi: 10.1088/0264-9381/22/9/002
  contributor:
    fullname: G Gibbons
– volume: 52B
  start-page: 165
  year: 1979
  ident: 5041_CR21
  publication-title: Nuovo Cimento
  doi: 10.1007/BF02739031
  contributor:
    fullname: A Curir
– ident: 5041_CR51
– volume: 216
  start-page: 194
  year: 2011
  ident: 5041_CR4
  publication-title: Nucl. Phys. Proc. Suppl.
  doi: 10.1016/j.nuclphysbps.2011.04.155
  contributor:
    fullname: I Bredberg
– volume: 04
  start-page: 013
  year: 2011
  ident: 5041_CR28
  publication-title: JHEP
  doi: 10.1007/JHEP04(2011)013
  contributor:
    fullname: MM Caldarelli
– volume: D 86
  start-page: 024008
  year: 2012
  ident: 5041_CR16
  publication-title: Phys. Rev.
  contributor:
    fullname: A Castro
– volume: D 56
  start-page: 4994
  year: 1997
  ident: 5041_CR12
  publication-title: Phys. Rev.
  contributor:
    fullname: M Cvetič
– volume: 05
  start-page: 003
  year: 2011
  ident: 5041_CR49
  publication-title: JHEP
  doi: 10.1007/JHEP05(2011)003
  contributor:
    fullname: D Anninos
– volume: 17
  start-page: 399
  year: 2000
  ident: 5041_CR36
  publication-title: Class. Quant. Grav.
  doi: 10.1088/0264-9381/17/2/310
  contributor:
    fullname: MM Caldarelli
– volume: 10
  start-page: 1075
  year: 2009
  ident: 5041_CR8
  publication-title: Annales Henri Poincaré
  doi: 10.1007/s00023-009-0012-0
  contributor:
    fullname: J Hennig
– volume: 172
  start-page: 304
  year: 1986
  ident: 5041_CR23
  publication-title: Annals Phys.
  doi: 10.1016/0003-4916(86)90186-7
  contributor:
    fullname: RC Myers
– ident: 5041_CR24
– volume: D 74
  start-page: 024011
  year: 2006
  ident: 5041_CR25
  publication-title: Phys. Rev.
  contributor:
    fullname: A Aliev
– volume: D 59
  start-page: 064005
  year: 1999
  ident: 5041_CR34
  publication-title: Phys. Rev.
  contributor:
    fullname: S Hawking
– volume: 06
  start-page: 023
  year: 2012
  ident: 5041_CR17
  publication-title: JHEP
  doi: 10.1007/JHEP06(2012)023
  contributor:
    fullname: M Visser
– volume: 69
  start-page: 1849
  year: 1992
  ident: 5041_CR32
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.69.1849
  contributor:
    fullname: M Bañados
– volume: D 82
  start-page: 024008
  year: 2010
  ident: 5041_CR3
  publication-title: Phys. Rev.
  contributor:
    fullname: A Castro
– volume: 09
  start-page: 088
  year: 2009
  ident: 5041_CR14
  publication-title: JHEP
  doi: 10.1088/1126-6708/2009/09/088
  contributor:
    fullname: M Cvetič
– ident: 5041_CR5
– volume: 53
  start-page: 49
  year: 2005
  ident: 5041_CR29
  publication-title: J. Geom. Phys.
  doi: 10.1016/j.geomphys.2004.05.001
  contributor:
    fullname: G Gibbons
– volume: D 82
  start-page: 024030
  year: 2010
  ident: 5041_CR27
  publication-title: Phys. Rev.
  contributor:
    fullname: M Allahverdizadeh
– volume: 109
  start-page: 031101
  year: 2012
  ident: 5041_CR18
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.109.031101
  contributor:
    fullname: S Detournay
– volume: D 54
  start-page: 2612
  year: 1996
  ident: 5041_CR10
  publication-title: Phys. Rev.
  contributor:
    fullname: M Cvetič
– volume: D 48
  start-page: 1506
  year: 1993
  ident: 5041_CR33
  publication-title: Phys. Rev.
  contributor:
    fullname: M Bañados
– volume: 31
  start-page: 161
  year: 1973
  ident: 5041_CR52
  publication-title: Commun. Math. Phys.
  doi: 10.1007/BF01645742
  contributor:
    fullname: JM Bardeen
– volume: 25
  start-page: 222001
  year: 2008
  ident: 5041_CR6
  publication-title: Class. Quant. Grav.
  doi: 10.1088/0264-9381/25/22/222001
  contributor:
    fullname: M Ansorg
– ident: 5041_CR46
– volume: D 56
  start-page: 1005
  year: 1997
  ident: 5041_CR11
  publication-title: Phys. Rev.
  contributor:
    fullname: F Larsen
– volume: 10
  start-page: 280
  year: 1968
  ident: 5041_CR31
  publication-title: Commun. Math. Phys.
  doi: 10.1007/BF03399503
  contributor:
    fullname: B Carter
– volume: 07
  start-page: 039
  year: 2010
  ident: 5041_CR43
  publication-title: JHEP
  doi: 10.1007/JHEP07(2010)039
  contributor:
    fullname: C Krishnan
– volume: D 84
  start-page: 124039
  year: 2011
  ident: 5041_CR50
  publication-title: Phys. Rev.
  contributor:
    fullname: B Chen
– ident: 5041_CR22
  doi: 10.1103/PhysRevLett.30.71
– volume: D 80
  start-page: 124008
  year: 2009
  ident: 5041_CR2
  publication-title: Phys. Rev.
  contributor:
    fullname: M Guica
– volume: 08
  start-page: 114
  year: 2011
  ident: 5041_CR42
  publication-title: JHEP
  contributor:
    fullname: B Chen
– ident: 5041_CR48
  doi: 10.1007/JHEP04(2011)076
– ident: 5041_CR19
– volume: B 856
  start-page: 449
  year: 2012
  ident: 5041_CR41
  publication-title: Nucl. Phys.
  doi: 10.1016/j.nuclphysb.2011.11.014
  contributor:
    fullname: B Chen
– volume: 88
  start-page: 101101
  year: 2002
  ident: 5041_CR44
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.88.101101
  contributor:
    fullname: R Emparan
– volume: 23
  start-page: R169
  year: 2006
  ident: 5041_CR45
  publication-title: Class. Quant. Grav.
  doi: 10.1088/0264-9381/23/20/R01
  contributor:
    fullname: R Emparan
– volume: 06
  start-page: 018
  year: 2010
  ident: 5041_CR39
  publication-title: JHEP
  doi: 10.1007/JHEP06(2010)018
  contributor:
    fullname: B Chen
– volume: B 476
  start-page: 118
  year: 1996
  ident: 5041_CR9
  publication-title: Nucl. Phys.
  doi: 10.1016/0550-3213(96)00355-0
  contributor:
    fullname: M Cvetič
– ident: 5041_CR47
– volume: 106
  start-page: 121301
  year: 2011
  ident: 5041_CR15
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.106.121301
  contributor:
    fullname: M Cvetič
– volume: B 639
  start-page: 362
  year: 2006
  ident: 5041_CR26
  publication-title: Phys. Lett.
  doi: 10.1016/j.physletb.2006.06.066
  contributor:
    fullname: J Kunz
– volume: 93
  start-page: 171102
  year: 2004
  ident: 5041_CR30
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.93.171102
  contributor:
    fullname: G Gibbons
SSID ssj0015190
Score 2.3840573
Snippet A bstract In this paper we investigate the thermodynamics of the inner horizon and its implication on the holographic description of the black hole. We focus...
In this paper we investigate the thermodynamics of the inner horizon and its implication on the holographic description of the black hole. We focus on the...
SourceID proquest
crossref
springer
SourceType Aggregation Database
Publisher
SubjectTerms Black holes
Classical and Quantum Gravitation
Elementary Particles
Energy conservation law
High energy physics
Horizon
Physics
Physics and Astronomy
Pictures
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
Thermodynamics
SummonAdditionalLinks – databaseName: ProQuest Technology Collection
  dbid: 8FG
  link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV09T8MwED1BERIL4lMUCvLA0A5WYyepkwlVqKUqAjG0Urco_ojEQFKSsvDrOTsJRUiwZHHk4Z3te-eP9wBuZaQ9wyWjmY4UDQLPUCkyRYUfKubLQEj3vuLpeTRbBvNVuGo23KrmWmW7JrqFWhfK7pEPrU4dlgpYzd2t36l1jbKnq42Fxi7sMS5G9kpfNH34PkVAduK1cj6eGM5nkxfG-pjy-MBzDmU_MtGWXv46EXWJZnoEhw1DJOM6pMewY_IT2Hc3NVV1CmMMbPlW6NpJviJFRqTdhCPW6BY_5esnDiSS5po8mrLEUb0gyllwrIvcGYiewXI6WdzPaOODQBWSrw1NfalCPTJKR5nwNcKYIWvhJkgzK63tp55hnMtQcBXFUmVO4hRbsDoxMRZw_jl08iI3F0B8puMglV6skQgplko7hZ2smDSRiUUX-i0mybqWu0haYeMavsTClyB8Xei1mCXNuK-SbZS6MGhx3Db_0dXl_11dwYH9s34B2IPOpvww10gFNvLGxfsL-QuxEA
  priority: 102
  providerName: ProQuest
Title Thermodynamics of black hole horizons and Kerr/CFT correspondence
URI https://link.springer.com/article/10.1007/JHEP11(2012)017
https://www.proquest.com/docview/2398249469
Volume 2012
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LS8NAEB76QPAiPjFayx48tIeVJJs0ybGW1lKxFGmht5B9BERMSlov_npnN4lFxYOXJbBJDt9OMt_s7HwDcMtDaSuXOzSVoaCeZyvKg1TQgPnCYdwLuKmveJoPpitvtvbXDbC_ti6y17s6I2l-1HWt22w6XjhOD_2V20crakIbmQMz6Vld31DlDZCP2LWAz--HvvuePaH8kQM1rmVyDEcVJyTDchFPoKGyUzgwZzPF9gyGuJTFWy7L3vFbkqeE6203olvb4lC8fKDpkCST5FEVBdrxkgjTdGOTZ6Zl6DmsJuPlaEqrzgdUIN3a0YRx4cuBEjJMAyYRuBR5iqu8JNVi2iyxleO63A9cEUZcpEbUFGcwHlERhmzsAlpZnqlLIMyRkZdwO5JIfYSTcP3RGiExrkIVBRb0akziTSlwEddSxiV8sYYvRvgs6NSYxZWlb2OtH4ghHEbZFvRrHPfTf7zq6h_3XsOhviwLADvQ2hXv6gaZwI53oRlOHrrQvh_PF89dYwp6HIxwXLnDT5NlsCQ
link.rule.ids 314,780,784,12765,21388,27924,27925,33373,33744,41119,41120,41523,42188,42189,42592,43600,43805,51576,52233,52234,74035,74302
linkProvider Springer Nature
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV27TsMwFL2CIgQL4ikKBTwwtIPVJE6aZEIVagl9iaGVukXxIxIDSUnLwtdz7SQUIcGSxYqHc23fc_04B-CeB9JSDrdpKgNBXddSlPupoD7zhM2463PzvmI660ULd7T0ltWG27q6VlmviWahlrnQe-RdrVOHpQJWcw-rd6pdo_TpamWhsQt7LsPUrV-KD5--TxGQnVi1nI_ld0fR4MW225jynI5lHMp-ZKItvfx1ImoSzfAYjiqGSPplSE9gR2WnsG9uaor1GfQxsMVbLksn-TXJU8L1JhzRRrf4KV4_cSCRJJNkrIoCR_WcCGPBscozYyB6DovhYP4Y0coHgQokXxuaMC482VNCBqnPJMKYImtxlJukWlqbJZayHYd7viOCkIvUSJxiC1YnKsQCjl1AI8szdQmE2TJ0E26FEomQsBOup7CRFeMqUKHfhHaNSbwq5S7iWti4hC_W8MUIXxNaNWZxNe7X8TZKTejUOG6b_-jq6v-u7uAgmk8n8eR5Nr6GQ_1X-RqwBY1N8aFukBZs-K2J_RdYh7Py
linkToPdf http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV07T8MwED5BKxAL4ikKBTwwtENU59EmmVCBVqWFqkKt1C2KH5EYSEpSFn49Z8ehCAmWLFY8fGf7vvOd7wO4YYGg0mG2lYiAW55HpcX8hFu-2-W2yzyf6fcVz9PeaOGNl92lqX8qTFlldSbqg1pkXN2Rd1SfOgwVMJrrJKYsYvYwvF29W0pBSmVajZzGNtTRK1KnBvW7wXT28p1TQK5Cq-Y-1O-MR4OZbbfQATptqvXKfvilDdn8lR_Vbmd4APuGL5J-aeBD2JLpEezouk1eHEMfzZy_ZaLUlS9IlhCmruSIkr3FT_76icuKxKkgE5nnuMbnhGtBjlWWajnRE1gMB_P7kWVUESyOVGxtxS7jXdGTXASJ7woENUEO40gvTlSjbTem0nYc1vUdHoSMJ7rhKY5grCJDDOfcU6ilWSrPgLi2CL2Y0VAgLeJ2zNSG1k3GmAxk6DegVWESrcrmF1HV5riEL1LwRQhfA5oVZpHZBUW0sVkD2hWOm-E_pjr_f6pr2EXDR0-P08kF7KmfyqeBTait8w95iRxhza6M8b8A2KG5jg
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Thermodynamics+of+black+hole+horizons+and+Kerr%2FCFT+correspondence&rft.jtitle=The+journal+of+high+energy+physics&rft.au=Chen%2C+Bin&rft.au=Liu%2C+Shenxiu&rft.au=Zhang%2C+Jia-ju&rft.date=2012-11-01&rft.pub=Springer-Verlag&rft.eissn=1029-8479&rft.volume=2012&rft.issue=11&rft_id=info:doi/10.1007%2FJHEP11%282012%29017&rft.externalDocID=10_1007_JHEP11_2012_017
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1029-8479&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1029-8479&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1029-8479&client=summon