Space-Dependent Symmetries and Fractons
There has been a surge of interest in effective non-Lorentzian theories of excitations with restricted mobility, known as fractons. Examples include defects in elastic materials, vortex lattices or spin liquids. In the effective theory novel coordinate-dependent symmetries emerge that shape the prop...
Saved in:
Published in | Frontiers in physics Vol. 9 |
---|---|
Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Frontiers Media S.A
18.01.2022
|
Subjects | |
Online Access | Get full text |
ISSN | 2296-424X 2296-424X |
DOI | 10.3389/fphy.2021.792621 |
Cover
Abstract | There has been a surge of interest in effective non-Lorentzian theories of excitations with restricted mobility, known as fractons. Examples include defects in elastic materials, vortex lattices or spin liquids. In the effective theory novel coordinate-dependent symmetries emerge that shape the properties of fractons. In this review we will discuss these symmetries, cover the effective description of gapless fractons via elastic duality, and discuss their hydrodynamics. |
---|---|
AbstractList | There has been a surge of interest in effective non-Lorentzian theories of excitations with restricted mobility, known as fractons. Examples include defects in elastic materials, vortex lattices or spin liquids. In the effective theory novel coordinate-dependent symmetries emerge that shape the properties of fractons. In this review we will discuss these symmetries, cover the effective description of gapless fractons via elastic duality, and discuss their hydrodynamics. |
Author | Peña-Benítez, Francisco Grosvenor, Kevin T. Hoyos, Carlos Surówka, Piotr |
Author_xml | – sequence: 1 givenname: Kevin T. surname: Grosvenor fullname: Grosvenor, Kevin T. – sequence: 2 givenname: Carlos surname: Hoyos fullname: Hoyos, Carlos – sequence: 3 givenname: Francisco surname: Peña-Benítez fullname: Peña-Benítez, Francisco – sequence: 4 givenname: Piotr surname: Surówka fullname: Surówka, Piotr |
BookMark | eNp1kEFLAzEQRoNUsNbePfbmaWsyySabo1SrhYKHKngLs8lEt7S7JZtL_72tVRDB08x88D6Gd8kGbdcSY9eCT6Ws7G3cfeynwEFMjQUN4owNAawuFKi3wa_9go37fs05F1DaCtSQ3ax26Km4px21gdo8We23W8qpoX6CbZjME_rctf0VO4-46Wn8PUfsdf7wMnsqls-Pi9ndsvBKmFyQUJWUniOVvg4BjZJgDlfQYAg0WlFWVmoZIkVfWxtqZS0ET0qjMRDliC1OvaHDtdulZotp7zps3FfQpXeHKTd-Qy5CGWQQQgXBVZQRtRHRe1MbI633eOjSpy6fur5PFJ1vMuama3PCZuMEd0d77mjPHe25k70DyP-AP4_8i3wCG8J01w |
CitedBy_id | crossref_primary_10_1103_PhysRevB_106_045112 crossref_primary_10_1103_PhysRevD_106_044017 crossref_primary_10_1103_PhysRevB_109_104118 crossref_primary_10_1103_RevModPhys_96_011001 crossref_primary_10_1103_PhysRevB_108_075106 crossref_primary_10_21468_SciPostPhys_14_4_086 crossref_primary_10_1016_j_physrep_2023_07_007 crossref_primary_10_1103_PhysRevB_107_205134 crossref_primary_10_1007_JHEP01_2023_167 crossref_primary_10_1007_JHEP10_2023_041 crossref_primary_10_1103_PhysRevLett_133_021603 crossref_primary_10_1016_j_nuclphysb_2023_116354 crossref_primary_10_1007_JHEP09_2023_184 crossref_primary_10_21468_SciPostPhysLectNotes_69 crossref_primary_10_1103_PhysRevD_109_065013 crossref_primary_10_1103_PhysRevLett_132_220405 crossref_primary_10_21468_SciPostPhys_18_1_022 crossref_primary_10_1140_epjc_s10052_024_12630_y crossref_primary_10_1007_JHEP02_2023_151 crossref_primary_10_1007_JHEP12_2023_022 crossref_primary_10_1103_PhysRevB_107_125121 crossref_primary_10_1103_PRXQuantum_5_030342 crossref_primary_10_21468_SciPostPhysLectNotes_93 crossref_primary_10_1007_JHEP07_2024_285 crossref_primary_10_1007_JHEP06_2023_207 crossref_primary_10_1103_PhysRevD_107_064034 crossref_primary_10_1140_epjc_s10052_025_13821_x crossref_primary_10_3389_fphy_2023_1116888 crossref_primary_10_1103_PhysRevB_109_115120 crossref_primary_10_1007_JHEP04_2024_009 crossref_primary_10_21468_SciPostPhysCore_6_4_082 crossref_primary_10_1103_PhysRevE_107_034142 crossref_primary_10_1142_S0217751X23430108 crossref_primary_10_1103_PhysRevD_106_L111903 crossref_primary_10_1007_JHEP02_2023_108 crossref_primary_10_21468_SciPostPhys_16_1_039 crossref_primary_10_21468_SciPostPhys_16_2_050 crossref_primary_10_1103_PhysRevB_106_195139 crossref_primary_10_21468_SciPostPhys_14_3_035 crossref_primary_10_21468_SciPostPhys_16_2_051 crossref_primary_10_1007_JHEP08_2022_072 |
Cites_doi | 10.21468/scipostphys.8.4.065 10.1103/physrevb.34.3345 10.1142/s0217751x20300033 10.1016/j.aop.2019.167910 10.1103/physrevd.96.024051 10.1103/physrevlett.120.195301 10.1103/physrevb.48.7003 10.1103/PhysRevLett.108.251602 10.1103/physrevb.98.115134 10.1103/physrevb.74.224433 10.21468/scipostphys.5.4.039 10.1103/physrevlett.115.241601 10.21468/scipostphys.9.5.073 10.1007/s00220-015-2461-2 10.1016/0003-4916(71)90269-7 10.1016/j.aop.2005.11.001 10.1103/physrevlett.54.1520 10.1103/physrevd.25.976 10.1103/physrevb.102.214437 10.1103/physrevx.9.031035 10.1103/physrevresearch.2.013162 10.1103/physrevb.101.085106 10.1007/bf01646487 10.1103/physrevresearch.3.013226 10.21468/scipostphys.6.4.043 10.1088/0264-9381/28/10/105011 10.1103/PhysRevLett.110.181601 10.21468/scipostphys.9.5.076 10.1103/physrevb.95.115139 10.1016/0375-9601(82)90578-3 10.1007/s10955-018-2202-y 10.1103/physrevb.101.214205 10.1103/physrev.158.383 10.1103/physrevlett.126.101603 10.1103/PhysRevResearch.3.023176 10.1103/physrevd.81.104033 10.1103/PhysRevB.100.045119 10.1016/j.physrep.2017.03.004 10.1103/PhysRevLett.124.050402 10.1103/physrevb.102.115103 10.1103/physrevlett.53.2477 10.1103/physrevlett.125.267601 10.1103/physrevd.88.101701 10.1103/physrevd.98.125016 10.1103/physreva.83.042330 10.1103/physrevb.104.064109 10.1016/j.aop.2020.168360 10.1103/physrevb.94.235157 10.1103/physrevb.96.195139 10.1103/physrevx.10.011042 10.1007/jhep12(2020)149 10.1016/j.geomphys.2015.01.005 10.1103/physrevresearch.2.033129 10.1103/physrevresearch.2.033124 10.1103/physrevlett.110.181601 10.1103/physreve.103.022142 10.1103/PhysRevLett.127.067601 10.1103/physrevlett.125.245303 10.1103/physrevb.100.094105 10.21468/scipostphys.8.4.050 10.1103/physrevresearch.2.023267 10.1016/0375-9601(83)90099-3 10.1103/physrevlett.17.1133 10.1103/physrevb.100.245103 10.1142/0356 10.1103/PhysRevB.103.L201119 10.21468/scipostphys.11.2.032 10.1103/physrevlett.88.101602 10.1103/physrevresearch.2.043165 10.1103/physrevb.96.035119 10.1103/physrevb.100.134113 10.1007/jhep04(2021)182 10.1103/physrevd.45.2719 10.1146/annurev-conmatphys-031218-013604 10.1103/physrevlett.121.235301 |
ContentType | Journal Article |
DBID | AAYXX CITATION DOA |
DOI | 10.3389/fphy.2021.792621 |
DatabaseName | CrossRef DOAJ Directory of Open Access Journals |
DatabaseTitle | CrossRef |
DatabaseTitleList | CrossRef |
Database_xml | – sequence: 1 dbid: DOA name: DOAJ Directory of Open Access Journals url: https://www.doaj.org/ sourceTypes: Open Website |
DeliveryMethod | fulltext_linktorsrc |
Discipline | Physics |
EISSN | 2296-424X |
ExternalDocumentID | oai_doaj_org_article_f25d3d114d104f3fa671fcc7b7739cca 10_3389_fphy_2021_792621 |
GroupedDBID | 5VS 9T4 AAFWJ AAYXX ACGFS ACXDI ADBBV ADMLS AFPKN ALMA_UNASSIGNED_HOLDINGS BCNDV CITATION GROUPED_DOAJ KQ8 M~E OK1 |
ID | FETCH-LOGICAL-c417t-e14833c0ae5cbdda743270aed627e26a91589363dfefcb99db4992dce46a772f3 |
IEDL.DBID | DOA |
ISSN | 2296-424X |
IngestDate | Wed Aug 27 01:15:28 EDT 2025 Thu Apr 24 22:59:12 EDT 2025 Tue Jul 01 01:02:57 EDT 2025 |
IsDoiOpenAccess | true |
IsOpenAccess | true |
IsPeerReviewed | true |
IsScholarly | true |
Language | English |
LinkModel | DirectLink |
MergedId | FETCHMERGED-LOGICAL-c417t-e14833c0ae5cbdda743270aed627e26a91589363dfefcb99db4992dce46a772f3 |
OpenAccessLink | https://doaj.org/article/f25d3d114d104f3fa671fcc7b7739cca |
ParticipantIDs | doaj_primary_oai_doaj_org_article_f25d3d114d104f3fa671fcc7b7739cca crossref_citationtrail_10_3389_fphy_2021_792621 crossref_primary_10_3389_fphy_2021_792621 |
ProviderPackageCode | CITATION AAYXX |
PublicationCentury | 2000 |
PublicationDate | 2022-01-18 |
PublicationDateYYYYMMDD | 2022-01-18 |
PublicationDate_xml | – month: 01 year: 2022 text: 2022-01-18 day: 18 |
PublicationDecade | 2020 |
PublicationTitle | Frontiers in physics |
PublicationYear | 2022 |
Publisher | Frontiers Media S.A |
Publisher_xml | – name: Frontiers Media S.A |
References | Beekman (B48) 2017; 683 Radzihovsky (B53) 2020; 125 Hirono (B52) 2021 Gromov (B87) 2020; 2 Xu (B20) 2006; 74 Pretko (B68) 2018; 98 Grosvenor (B19) 2021 Zhang (B91) 2020; 2 Griffin (B6) 2013; 88 Andringa (B40) 2011; 28 Eringen (B62) 2012 Gromov (B5) 2019; 9 Sadd (B63) 2014 Pretko (B9) 2020; 35 t Hooft (B12) 1979; 59 Geng (B32) 2021 Yuan (B70) 2020; 2 Peña-Benitez (B26) 2021 Levine (B57) 1984; 53 Griffin (B14) 2015; 115 Myerson-Jain (B44) 2021 Nandkishore (B8) 2019; 10 Kleinert (B46) 1983; 97 Morningstar (B89) 2020; 101 Levine (B58) 1985; 54 Surówka (B54) 2021; 103 Slagle (B75) 2019; 6 Giergiel (B43) 2021 Pretko (B1) 2017; 95 Halperin (B18) 2018; 175 Aasen (B78) 2020; 2 Ganesan (B93) 2020; 2020 Argurio (B74) 2021 Kharuk (B31) 2018; 98 Gaa (B55) 2021; 104 Gorantla (B82) 2020; 9 Sous (B42) 2020; 102 Vukmirović (B28) 2015; 94 Du (B35) 2021 Xu (B21) 2010; 81 Low (B30) 2002; 88 Banerjee (B73) 2021 Isham (B29) 1971; 62 Watanabe (B11) 2013; 110 You (B22) 2020; 2 Slagle (B76) 2021; 126 Seiberg (B81) 2021 Kleinert (B47) 1989 Nowacki (B61) 1985 Vijay (B4) 2016; 94 Feldmeier (B90) 2020; 125 Griffin (B7) 2015; 340 Nguyen (B34) 2020; 9 Pretko (B23) 2019; 100 Ivanov (B37) 1982; 25 Zhai (B66) 2019; 100 Stahl (B86) 2021 Shirley (B84) 2020; 102 Banerjee (B72) 2021 Moroz (B99) 2018; 5 Jain (B97) 2021 Pretko (B64) 2018; 121 Polchinski (B13) 1992 Seiberg (B80) 2020 Ding (B60) 1993; 48 Manoj (B56) 2021; 127 Seiberg (B69) 2020; 8 Bidussi (B96) 2021 Shenoy (B24) 2020; 101 Calin (B27) 2005; 33 Guardado-Sanchez (B92) 2020; 10 Pretko (B36) 2017; 96 Iaconis (B94) 2021; 103 Seiberg (B79) 2021 Slagle (B67) 2017; 96 Watanabe (B98) 2013; 11018 Mermin (B16) 1966; 17 Glorioso (B95) 2021 Gromov (B49) 2020; 8 Grignani (B38) 1992; 45 Socolar (B59) 1986; 34 Kumar (B65) 2019; 100 Hsin (B77) 2021; 11 Haah (B3) 2011; 83 Chen (B71) 2021; 3 Karch (B83) 2021; 2021 Hohenberg (B15) 1967; 158 Slagle (B25) 2019; 410 Kleinert (B45) 1982; 91 Pretko (B41) 2019; 100 Coleman (B17) 1973; 31 Moudgalya (B88) 2021; 3 Qi (B51) 2021; 424 Watanabe (B10) 2012; 108 Pretko (B33) 2018; 120 Radzihovsky (B50) 2020; 124 Ma (B85) 2020 Pretko (B2) 2017; 96 Son (B39) 2006; 321 |
References_xml | – volume: 8 start-page: 065 year: 2020 ident: B49 article-title: On Duality between Cosserat Elasticity and Fractons publication-title: Scipost Phys doi: 10.21468/scipostphys.8.4.065 – volume-title: Breakdown of Hydrodynamics below Four Dimensions in a Fracton Fluid year: 2021 ident: B95 – volume: 34 start-page: 3345 year: 1986 ident: B59 article-title: Phonons, Phasons, and Dislocations in Quasicrystals publication-title: Phys Rev B doi: 10.1103/physrevb.34.3345 – volume: 35 start-page: 2030003 year: 2020 ident: B9 article-title: Fracton Phases of Matter publication-title: Int J Mod Phys A doi: 10.1142/s0217751x20300033 – volume: 410 start-page: 167910 year: 2019 ident: B25 article-title: Symmetric Tensor Gauge Theories on Curved Spaces publication-title: Ann Phys doi: 10.1016/j.aop.2019.167910 – volume: 96 start-page: 024051 year: 2017 ident: B36 article-title: Emergent Gravity of Fractons: Mach’s Principle Revisited publication-title: Phys Rev D doi: 10.1103/physrevd.96.024051 – volume: 120 start-page: 195301 year: 2018 ident: B33 article-title: Fracton-Elasticity Duality publication-title: Phys Rev Lett doi: 10.1103/physrevlett.120.195301 – volume: 48 start-page: 7003 year: 1993 ident: B60 article-title: Generalized Elasticity Theory of Quasicrystals publication-title: Phys Rev B Condens Matter doi: 10.1103/physrevb.48.7003 – volume-title: Microcontinuum Field Theories: I. Foundations and Solids year: 2012 ident: B62 – volume: 108 start-page: 251602 year: 2012 ident: B10 article-title: Unified Description of Nambu-Goldstone Bosons without Lorentz Invariance publication-title: Phys Rev Lett doi: 10.1103/PhysRevLett.108.251602 – volume-title: Bose-Hubbard Realization of Fracton Defects year: 2021 ident: B43 – volume: 98 start-page: 115134 year: 2018 ident: B68 article-title: The Fracton Gauge Principle publication-title: Phys Rev B doi: 10.1103/physrevb.98.115134 – volume-title: Fractons, Symmetric Gauge Fields and Geometry year: 2021 ident: B26 – volume: 74 start-page: 224433 year: 2006 ident: B20 article-title: Gapless Bosonic Excitation without Symmetry Breaking: An Algebraic Spin Liquid with Soft Gravitons publication-title: Phys Rev B doi: 10.1103/physrevb.74.224433 – start-page: 2100133 volume-title: Fortsch Phys year: 2021 ident: B32 article-title: Fractons and Exotic Symmetries from Branes – volume: 5 start-page: 039 year: 2018 ident: B99 article-title: Effective Field Theory of a Vortex Lattice in a Bosonic Superfluid publication-title: Scipost Phys doi: 10.21468/scipostphys.5.4.039 – volume: 115 start-page: 241601 year: 2015 ident: B14 article-title: Cascading Multicriticality in Nonrelativistic Spontaneous Symmetry Breaking publication-title: Phys Rev Lett doi: 10.1103/physrevlett.115.241601 – volume: 9 start-page: 073 year: 2020 ident: B82 article-title: More Exotic Field Theories in 3+1 Dimensions publication-title: Scipost Phys doi: 10.21468/scipostphys.9.5.073 – volume: 340 start-page: 9851412 year: 2015 ident: B7 article-title: Scalar Field Theories with Polynomial Shift Symmetries publication-title: Commun Math Phys doi: 10.1007/s00220-015-2461-2 – volume: 62 start-page: 98 year: 1971 ident: B29 article-title: Nonlinear Realizations of Space-Time Symmetries. Scalar and Tensor Gravity publication-title: Ann Phys doi: 10.1016/0003-4916(71)90269-7 – volume: 321 start-page: 197 year: 2006 ident: B39 article-title: General Coordinate Invariance and Conformal Invariance in Nonrelativistic Physics: Unitary Fermi Gas publication-title: Ann Phys doi: 10.1016/j.aop.2005.11.001 – volume: 54 start-page: 1520 year: 1985 ident: B58 article-title: Elasticity and Dislocations in Pentagonal and Icosahedral Quasicrystals publication-title: Phys Rev Lett doi: 10.1103/physrevlett.54.1520 – volume: 25 start-page: 976 year: 1982 ident: B37 article-title: Gauge formulation of gravitation theories. I. The Poincaré, de Sitter, and conformal cases publication-title: Phys Rev D doi: 10.1103/physrevd.25.976 – start-page: 0235 volume-title: Theoretical Advanced Study Institute (TASI 92): From Black Holes and Strings to Particles year: 1992 ident: B13 article-title: Effective Field Theory and the Fermi Surface – volume: 102 start-page: 214437 year: 2020 ident: B42 article-title: Fractons from Polarons publication-title: Phys Rev B doi: 10.1103/physrevb.102.214437 – volume: 9 start-page: 031035 year: 2019 ident: B5 article-title: Towards Classification of Fracton Phases: the Multipole Algebra publication-title: Phys Rev X doi: 10.1103/physrevx.9.031035 – volume: 2 start-page: 013162 year: 2020 ident: B22 article-title: Emergent Fractons and Algebraic Quantum Liquid from Plaquette Melting Transitions publication-title: Phys Rev Res doi: 10.1103/physrevresearch.2.013162 – start-page: 003 volume-title: Scipost Phys year: 2021 ident: B81 article-title: Exotic ℤN Symmetries, Duality, and Fractons in 3+1-Dimensional Quantum Field Theory – volume: 101 start-page: 085106 year: 2020 ident: B24 article-title: (k, N)-Fractonic Maxwell Theory publication-title: Phys Rev B doi: 10.1103/physrevb.101.085106 – volume: 31 start-page: 259 year: 1973 ident: B17 article-title: There Are No Goldstone Bosons in Two Dimensions publication-title: Commun Math Phys doi: 10.1007/bf01646487 – volume-title: Effective Field Theories for Gapless Phases with Fractons via a Coset Construction year: 2021 ident: B73 – volume: 3 start-page: 013226 year: 2021 ident: B71 article-title: Fractonic Superfluids. II. Condensing Subdimensional Particles publication-title: Phys Rev Res doi: 10.1103/physrevresearch.3.013226 – volume: 6 start-page: 043 year: 2019 ident: B75 article-title: Foliated Field Theory and String-Membrane-Net Condensation Picture of Fracton Order publication-title: SciPost Phys doi: 10.21468/scipostphys.6.4.043 – volume: 28 start-page: 105011 year: 2011 ident: B40 article-title: Newtonian Gravity and the Bargmann Algebra publication-title: Class Quan Grav. doi: 10.1088/0264-9381/28/10/105011 – volume: 110 start-page: 181601 year: 2013 ident: B11 article-title: Redundancies in Nambu-Goldstone Bosons publication-title: Phys Rev Lett doi: 10.1103/PhysRevLett.110.181601 – volume: 33 start-page: 185 year: 2005 ident: B27 article-title: Geometric Mechanics on the Heisenberg Group publication-title: Bulletin-Institute Maths Academia Sinica – year: 2021 ident: B97 publication-title: Fractons in Curved Space – volume: 9 start-page: 076 year: 2020 ident: B34 article-title: Fracton-elasticity Duality of Two-Dimensional Superfluid Vortex Crystals: Defect Interactions and Quantum Melting publication-title: Scipost Phys doi: 10.21468/scipostphys.9.5.076 – volume: 95 start-page: 115139 year: 2017 ident: B1 article-title: Subdimensional Particle Structure of Higher Rank U(1) Spin Liquids publication-title: Phys Rev B doi: 10.1103/physrevb.95.115139 – volume: 91 start-page: 295 year: 1982 ident: B45 article-title: Duality Transformation for Defect Melting publication-title: Phys Lett A doi: 10.1016/0375-9601(82)90578-3 – volume: 175 start-page: 521 year: 2018 ident: B18 article-title: On the Hohenberg–Mermin–Wagner Theorem and its Limitations publication-title: J Stat Phys doi: 10.1007/s10955-018-2202-y – volume-title: Volume-preserving Diffeomorphism as Nonabelian Higher-Rank Gauge Symmetry year: 2021 ident: B35 – volume: 101 start-page: 214205 year: 2020 ident: B89 article-title: Kinetically Constrained Freezing Transition in a Dipole-Conserving System publication-title: Phys Rev B doi: 10.1103/physrevb.101.214205 – volume: 158 start-page: 383 year: 1967 ident: B15 article-title: Existence of Long-Range Order in One and Two Dimensions publication-title: Phys Rev doi: 10.1103/physrev.158.383 – volume: 126 start-page: 101603 year: 2021 ident: B76 article-title: Foliated Quantum Field Theory of Fracton Order publication-title: Phys Rev Lett doi: 10.1103/physrevlett.126.101603 – volume: 3 start-page: 023176 year: 2021 ident: B88 article-title: Spectral Statistics in Constrained Many-body Quantum Chaotic Systems publication-title: Phys Rev Res doi: 10.1103/PhysRevResearch.3.023176 – volume: 81 start-page: 104033 year: 2010 ident: B21 article-title: Emergent Gravity at a Lifshitz point from a Bose Liquid on the Lattice publication-title: Phys Rev D doi: 10.1103/physrevd.81.104033 – volume: 100 year: 2019 ident: B65 article-title: Symmetry-enforced Fractonicity and Two-Dimensional Quantum crystal Melting publication-title: Phys Rev B doi: 10.1103/PhysRevB.100.045119 – volume: 59 start-page: 135 year: 1979 ident: B12 article-title: Naturalness, Chiral Symmetry, and Spontaneous Chiral Symmetry Breaking publication-title: NATO Adv Study Inst Ser B Phys – volume: 683 start-page: 1 year: 2017 ident: B48 article-title: Dual Gauge Field Theory of Quantum Liquid Crystals in Two Dimensions publication-title: Phys Rep doi: 10.1016/j.physrep.2017.03.004 – volume: 124 start-page: 050402 year: 2020 ident: B50 article-title: Fractons from Vector Gauge Theory publication-title: Phys Rev Lett doi: 10.1103/PhysRevLett.124.050402 – volume: 102 start-page: 115103 year: 2020 ident: B84 article-title: Twisted Foliated Fracton Phases publication-title: Phys Rev B doi: 10.1103/physrevb.102.115103 – volume: 53 start-page: 2477 year: 1984 ident: B57 article-title: Quasicrystals: A New Class of Ordered Structures publication-title: Phys Rev Lett doi: 10.1103/physrevlett.53.2477 – volume: 125 start-page: 267601 year: 2020 ident: B53 article-title: Quantum Smectic Gauge Theory publication-title: Phys Rev Lett doi: 10.1103/physrevlett.125.267601 – volume: 88 start-page: 101701 year: 2013 ident: B6 article-title: Multicritical Symmetry Breaking and Naturalness of Slow Nambu-Goldstone Bosons publication-title: Phys Rev D doi: 10.1103/physrevd.88.101701 – year: 2021 ident: B86 publication-title: Spontaneous Breaking of Multipole Symmetries – volume: 98 start-page: 125016 year: 2018 ident: B31 article-title: Solving Puzzles of Spontaneously Broken Spacetime Symmetries publication-title: Phys Rev D doi: 10.1103/physrevd.98.125016 – volume: 83 start-page: 042330 year: 2011 ident: B3 article-title: Local Stabilizer Codes in Three Dimensions without String Logical Operators publication-title: Phys Rev A doi: 10.1103/physreva.83.042330 – volume: 104 start-page: 064109 year: 2021 ident: B55 article-title: Fracton-elasticity Duality in Twisted Moiré Superlattices publication-title: Phys Rev B doi: 10.1103/physrevb.104.064109 – volume: 424 start-page: 168360 year: 2021 ident: B51 article-title: Fracton Phases via Exotic Higher-form Symmetry-breaking publication-title: Annals Phys doi: 10.1016/j.aop.2020.168360 – volume: 94 start-page: 235157 year: 2016 ident: B4 article-title: Fracton Topological Order, Generalized Lattice Gauge Theory, and Duality publication-title: Phys Rev B doi: 10.1103/physrevb.94.235157 – volume-title: Fractonic Order in Infinite-Component Chern-Simons Gauge Theories year: 2020 ident: B85 – volume: 96 start-page: 195139 year: 2017 ident: B67 article-title: Quantum Field Theory of X-Cube Fracton Topological Order and Robust Degeneracy from Geometry publication-title: Phys Rev B doi: 10.1103/physrevb.96.195139 – volume: 10 start-page: 011042 year: 2020 ident: B92 article-title: Subdiffusion and Heat Transport in a Tilted Two-Dimensional Fermi-Hubbard System publication-title: Phys Rev X doi: 10.1103/physrevx.10.011042 – volume: 2020 start-page: 149 year: 2020 ident: B93 article-title: Holographic Subdiffusion publication-title: J High Energ Phys doi: 10.1007/jhep12(2020)149 – volume: 94 start-page: 72 year: 2015 ident: B28 article-title: Classification of Left-Invariant Metrics on the Heisenberg Group publication-title: J Geometry Phys doi: 10.1016/j.geomphys.2015.01.005 – volume: 2 start-page: 033129 year: 2020 ident: B91 article-title: Subdiffusion in Strongly Tilted Lattice Systems publication-title: Phys Rev Res doi: 10.1103/physrevresearch.2.033129 – volume: 2 start-page: 033124 year: 2020 ident: B87 article-title: Fracton Hydrodynamics publication-title: Phys Rev Res doi: 10.1103/physrevresearch.2.033124 – volume: 11018 start-page: 181601 year: 2013 ident: B98 article-title: Redundancies in Nambu-Goldstone Bosons publication-title: Phys Rev Lett doi: 10.1103/physrevlett.110.181601 – volume-title: Dual Description of Gauge Theories from an Iterative Noether Approach year: 2021 ident: B72 – volume: 103 start-page: 022142 year: 2021 ident: B94 article-title: Multipole Conservation Laws and Subdiffusion in Any Dimension publication-title: Phys.Rev.E doi: 10.1103/physreve.103.022142 – volume: 127 start-page: 067601 year: 2021 ident: B56 article-title: Fractonic View of Folding and Tearing Paper: Elasticity of Plates Is Dual to a Gauge Theory with Vector Charges publication-title: Phys Rev Lett doi: 10.1103/PhysRevLett.127.067601 – volume: 125 start-page: 245303 year: 2020 ident: B90 article-title: Anomalous Diffusion in Dipole- and Higher-Moment-Conserving Systems publication-title: Phys Rev Lett doi: 10.1103/physrevlett.125.245303 – volume: 100 start-page: 094105 year: 2019 ident: B66 article-title: Two-dimensional Melting via Sine-Gordon Duality publication-title: Phys Rev B doi: 10.1103/physrevb.100.094105 – volume: 8 start-page: 050 year: 2020 ident: B69 article-title: Field Theories with a Vector Global Symmetry publication-title: Scipost Phys doi: 10.21468/scipostphys.8.4.050 – volume: 2 start-page: 023267 year: 2020 ident: B70 article-title: Fractonic Superfluids publication-title: Phys Rev Res doi: 10.1103/physrevresearch.2.023267 – start-page: 043186 volume-title: Phys Rev Res year: 2021 ident: B19 article-title: Hydrodynamics of Ideal Fracton Fluids – volume: 97 start-page: 51 year: 1983 ident: B46 article-title: Double Gauge Theory of Stresses and Defects publication-title: Phys Lett A doi: 10.1016/0375-9601(83)90099-3 – volume-title: Construction of Fractal Order and Phase Transition with Rydberg Atoms year: 2021 ident: B44 – volume: 17 start-page: 1133 year: 1966 ident: B16 article-title: Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models publication-title: Phys Rev Lett doi: 10.1103/physrevlett.17.1133 – start-page: 105001 volume-title: Phys Rev year: 2021 ident: B74 article-title: Fractons in Effective Field Theories for Spontaneously Broken Translations – volume: 100 start-page: 245103 year: 2019 ident: B41 article-title: Electric Circuit Realizations of Fracton Physics publication-title: Phys Rev B doi: 10.1103/physrevb.100.245103 – volume-title: Gauge Fields in Condensed Matter year: 1989 ident: B47 doi: 10.1142/0356 – volume: 103 start-page: L201119 year: 2021 ident: B54 article-title: Dual Gauge Theory Formulation of Planar Quasicrystal Elasticity and Fractons publication-title: Phys Rev B doi: 10.1103/PhysRevB.103.L201119 – start-page: 027 volume-title: Scipost Phys year: 2021 ident: B79 article-title: Exotic Symmetries, Duality, and Fractons in 2+1-Dimensional Quantum Field Theory – volume: 11 start-page: 032 year: 2021 ident: B77 article-title: Comments on Foliated Gauge Theories and Dualities in 3+1d publication-title: Scipost Phys doi: 10.21468/scipostphys.11.2.032 – volume: 88 start-page: 101602 year: 2002 ident: B30 article-title: Spontaneously Broken Spacetime Symmetries and Goldstone's Theorem publication-title: Phys Rev Lett doi: 10.1103/physrevlett.88.101602 – year: 2021 ident: B52 publication-title: Effective Field Theories for Gapless Phases with Fractons via a Coset Construction – volume: 2 start-page: 043165 year: 2020 ident: B78 article-title: Topological Defect Networks for Fractons of All Types publication-title: Phys Rev Res doi: 10.1103/physrevresearch.2.043165 – volume-title: Theory of Asymmetric Elasticity year: 1985 ident: B61 – volume: 96 start-page: 035119 year: 2017 ident: B2 article-title: Generalized Electromagnetism of Subdimensional Particles: A Spin Liquid Story publication-title: Phys Rev B doi: 10.1103/physrevb.96.035119 – volume: 100 start-page: 134113 year: 2019 ident: B23 article-title: Crystal-to-fracton Tensor Gauge Theory Dualities publication-title: Phys Rev B doi: 10.1103/physrevb.100.134113 – volume: 2021 start-page: 182 year: 2021 ident: B83 article-title: Reduced Conformal Symmetry publication-title: J High Energ Phys doi: 10.1007/jhep04(2021)182 – volume: 45 start-page: 2719 year: 1992 ident: B38 article-title: Gravity and the Poincaré Group publication-title: Phys Rev D doi: 10.1103/physrevd.45.2719 – year: 2021 ident: B96 publication-title: Fractons, Dipole Symmetries and Curved Spacetime – volume: 10 start-page: 295 year: 2019 ident: B8 article-title: Fractons publication-title: Annu Rev Condens Matter Phys doi: 10.1146/annurev-conmatphys-031218-013604 – start-page: 046 volume-title: Scipost Phys year: 2020 ident: B80 article-title: Exotic U(1) Symmetries, Duality, and Fractons in 3+1-Dimensional Quantum Field Theory – volume: 121 start-page: 235301 year: 2018 ident: B64 article-title: Symmetry-Enriched Fracton Phases from Supersolid Duality publication-title: Phys Rev Lett doi: 10.1103/physrevlett.121.235301 – volume-title: Elasticity: Theory, Applications, and Numerics year: 2014 ident: B63 |
SSID | ssj0001259824 |
Score | 2.3923762 |
SecondaryResourceType | review_article |
Snippet | There has been a surge of interest in effective non-Lorentzian theories of excitations with restricted mobility, known as fractons. Examples include defects in... |
SourceID | doaj crossref |
SourceType | Open Website Enrichment Source Index Database |
SubjectTerms | effective field theories elasticity fractons spacetime symmetries tensor gauge fields |
Title | Space-Dependent Symmetries and Fractons |
URI | https://doaj.org/article/f25d3d114d104f3fa671fcc7b7739cca |
Volume | 9 |
hasFullText | 1 |
inHoldings | 1 |
isFullTextHit | |
isPrint | |
link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV09T8MwELVQERIL4lOUjyoDEmIwje3ETsZCqSpEWUqlbpF9ticaKhoG_j3nJFRlgYUxkZM4z1buPef8jpAr61D3gLLUi0TThCmgRgOjWoXUJgaW1xtpJ89yPEse5-l8o9RXyAlr7IEb4Pqep1ZYZO0WhYMXXkvFPIAySokcHx--vnEeb4ipZnUlGNMlzX9J7E3e99hrlIOc3apgkcd-xKENu_46roz2yV5LCKNB05EDsuXKQ7JTJ2bC6ohcT1HUOjpsa9VW0fRzsairYK0iXdpoFHY54cw5JrPRw8v9mLbFDSggIhV1qEOEgFi7FIy1GiM5V3hkJVeOS52zFKmEFNY7DybPrUFtwi24RGpkxF6ckE75VrpTEmXSgMyUNy5Dvg-x0dpLxbVALgQuFV3S_37VAlrn71CA4rVABRDAKQI4RQCnaMDpkpv1FcvG9eKXtncBvXW74Fddn8BRLNpRLP4axbP_uMk52eVhc0LMKMsuSKd6_3CXSBkq0yPbg-HkadqrZ8kXZEzA6g |
linkProvider | Directory of Open Access Journals |
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=Space-Dependent+Symmetries+and+Fractons&rft.jtitle=Frontiers+in+physics&rft.au=Kevin+T.+Grosvenor&rft.au=Carlos+Hoyos&rft.au=Francisco+Pe%C3%B1a-Ben%C3%ADtez&rft.au=Francisco+Pe%C3%B1a-Ben%C3%ADtez&rft.date=2022-01-18&rft.pub=Frontiers+Media+S.A&rft.eissn=2296-424X&rft.volume=9&rft_id=info:doi/10.3389%2Ffphy.2021.792621&rft.externalDBID=DOA&rft.externalDocID=oai_doaj_org_article_f25d3d114d104f3fa671fcc7b7739cca |
thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2296-424X&client=summon |
thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2296-424X&client=summon |
thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2296-424X&client=summon |