D1-D5-P superstrata in 5 and 6 dimensions: separable wave equations and prepotentials
A bstract We construct the most general single-mode superstrata in 5 dimensions with ambipolar, two centered Gibbons Hawking bases, via dimensional reduction of superstrata in 6 dimensions. Previously, asymptotically AdS 3 × 𝕊 2 5-dimensional superstrata have been produced, giving microstate geometr...
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| Published in | The journal of high energy physics Vol. 2019; no. 9; pp. 1 - 30 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.09.2019
Springer Nature B.V Springer Berlin SpringerOpen |
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| Abstract | A
bstract
We construct the most general single-mode superstrata in 5 dimensions with ambipolar, two centered Gibbons Hawking bases, via dimensional reduction of superstrata in 6 dimensions. Previously, asymptotically AdS
3
× 𝕊
2
5-dimensional superstrata have been produced, giving microstate geometries of black strings in 5 dimensions. Our construction produces asymptotically AdS
2
× 𝕊
3
geometries as well, the first instances of superstrata describing the microstate geometries of black holes in 5 dimensions. New examples of superstrata with separable massless wave equations in both 5 and 6 dimensions are uncovered. A ℤ
2
symmetry which identifies distinct 6-dimensional superstrata when reduced to 5 dimensions is found. Finally we use the mathematical structure of the underlying hyper-Kähler bases to produce prepotentials for the superstrata fluxes in 5 dimensions and uplift them to apply in 6 dimensions as well. |
|---|---|
| AbstractList | We construct the most general single-mode superstrata in 5 dimensions with ambipolar, two centered Gibbons Hawking bases, via dimensional reduction of superstrata in 6 dimensions. Previously, asymptotically AdS3 × ð*2 5-dimensional superstrata have been produced, giving microstate geometries of black strings in 5 dimensions. Our construction produces asymptotically AdS2 × ð*3 geometries as well, the first instances of superstrata describing the microstate geometries of black holes in 5 dimensions. New examples of superstrata with separable massless wave equations in both 5 and 6 dimensions are uncovered. A ℤ2 symmetry which identifies distinct 6-dimensional superstrata when reduced to 5 dimensions is found. Finally we use the mathematical structure of the underlying hyper-Kähler bases to produce prepotentials for the superstrata fluxes in 5 dimensions and uplift them to apply in 6 dimensions as well. A bstract We construct the most general single-mode superstrata in 5 dimensions with ambipolar, two centered Gibbons Hawking bases, via dimensional reduction of superstrata in 6 dimensions. Previously, asymptotically AdS 3 × 𝕊 2 5-dimensional superstrata have been produced, giving microstate geometries of black strings in 5 dimensions. Our construction produces asymptotically AdS 2 × 𝕊 3 geometries as well, the first instances of superstrata describing the microstate geometries of black holes in 5 dimensions. New examples of superstrata with separable massless wave equations in both 5 and 6 dimensions are uncovered. A ℤ 2 symmetry which identifies distinct 6-dimensional superstrata when reduced to 5 dimensions is found. Finally we use the mathematical structure of the underlying hyper-Kähler bases to produce prepotentials for the superstrata fluxes in 5 dimensions and uplift them to apply in 6 dimensions as well. Abstract We construct the most general single-mode superstrata in 5 dimensions with ambipolar, two centered Gibbons Hawking bases, via dimensional reduction of superstrata in 6 dimensions. Previously, asymptotically AdS3 × 𝕊2 5-dimensional superstrata have been produced, giving microstate geometries of black strings in 5 dimensions. Our construction produces asymptotically AdS2 × 𝕊3 geometries as well, the first instances of superstrata describing the microstate geometries of black holes in 5 dimensions. New examples of superstrata with separable massless wave equations in both 5 and 6 dimensions are uncovered. A ℤ2 symmetry which identifies distinct 6-dimensional superstrata when reduced to 5 dimensions is found. Finally we use the mathematical structure of the underlying hyper-Kähler bases to produce prepotentials for the superstrata fluxes in 5 dimensions and uplift them to apply in 6 dimensions as well. We construct the most general single-mode superstrata in 5 dimensions with ambipolar, two centered Gibbons Hawking bases, via dimensional reduction of superstrata in 6 dimensions. Previously, asymptotically AdS3 × $\mathbb{S}$2 5-dimensional superstrata have been produced, giving microstate geometries of black strings in 5 dimensions. Our construction produces asymptotically AdS2 × $\mathbb{S}$3 geometries as well, the first instances of superstrata describing the microstate geometries of black holes in 5 dimensions. New examples of superstrata with separable massless wave equations in both 5 and 6 dimensions are uncovered. A $\mathbb{Z}$2 symmetry which identifies distinct 6-dimensional superstrata when reduced to 5 dimensions is found. Finally we use the mathematical structure of the underlying hyper-Kähler bases to produce prepotentials for the superstrata fluxes in 5 dimensions and uplift them to apply in 6 dimensions as well.l. We construct the most general single-mode superstrata in 5 dimensions with ambipolar, two centered Gibbons Hawking bases, via dimensional reduction of superstrata in 6 dimensions. Previously, asymptotically AdS 3 × 2 5-dimensional superstrata have been produced, giving microstate geometries of black strings in 5 dimensions. Our construction produces asymptotically AdS 2 × 3 geometries as well, the first instances of superstrata describing the microstate geometries of black holes in 5 dimensions. New examples of superstrata with separable massless wave equations in both 5 and 6 dimensions are uncovered. A ℤ 2 symmetry which identifies distinct 6-dimensional superstrata when reduced to 5 dimensions is found. Finally we use the mathematical structure of the underlying hyper-Kähler bases to produce prepotentials for the superstrata fluxes in 5 dimensions and uplift them to apply in 6 dimensions as well. |
| ArticleNumber | 117 |
| Author | Walker, Robert |
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| References_xml | – reference: TyukovAlexanderWalkerRobertWarnerNicholas PThe structure of BPS equations for ambi-polar microstate geometriesClassical and Quantum Gravity20183610150212019CQGra..36a5021T390412710.1088/1361-6382/aaf133 – reference: I. Bena, P. Heidmann and D. Turton, AdS2holography: mind the cap, JHEP12 (2018) 028 [arXiv:1806.02834] [INSPIRE]. – reference: I. Bena, E. Martinec, D. Turton and N.P. Warner, Momentum Fractionation on Superstrata, JHEP05 (2016) 064 [arXiv:1601.05805] [INSPIRE]. – reference: I. Bena and N.P. Warner, Black holes, black rings and their microstates, Lect. Notes Phys.755 (2008) 1 [hep-th/0701216] [INSPIRE]. – reference: StromingerAndrewVafaCumrunMicroscopic origin of the Bekenstein-Hawking entropyPhysics Letters B19963791-4991041996PhLB..379...99S139627010.1016/0370-2693(96)00345-0 – reference: J. Garcia i Tormo and M. Taylor, One point functions for black hole microstates, Gen. Rel. Grav.51 (2019) 89 [arXiv:1904.10200] [INSPIRE]. – reference: S. Raju and P. Shrivastava, Critique of the fuzzball program, Phys. Rev.D 99 (2019) 066009 [arXiv:1804.10616] [INSPIRE]. – reference: I. Bena, S.F. Ross and N.P. Warner, Coiffured Black Rings, Class. Quant. Grav.31 (2014) 165015 [arXiv:1405.5217] [INSPIRE]. – reference: I. Bena, E.J. Martinec, R. Walker and N.P. Warner, Early Scrambling and Capped BTZ Geometries, JHEP04 (2019) 126 [arXiv:1812.05110] [INSPIRE]. – reference: I. Bena et al., Asymptotically-flat supergravity solutions deep inside the black-hole regime, JHEP02 (2018) 014 [arXiv:1711.10474] [INSPIRE]. – reference: P. Heidmann and N.P. Warner, Superstratum Symbiosis, arXiv:1903.07631 [INSPIRE]. – reference: I. Bena, S. Giusto, R. Russo, M. Shigemori and N.P. Warner, Habemus Superstratum! A constructive proof of the existence of superstrata, JHEP05 (2015) 110 [arXiv:1503.01463] [INSPIRE]. – reference: I. Bena, D. Turton, R. Walker and N.P. Warner, Integrability and Black-Hole Microstate Geometries, JHEP11 (2017) 021 [arXiv:1709.01107] [INSPIRE]. – reference: I. Bena, P. Heidmann, R. Monten and N.P. Warner, Thermal Decay without Information Loss in Horizonless Microstate Geometries, arXiv:1905.05194 [INSPIRE]. – reference: I. Bena, C.-W. Wang and N.P. Warner, Mergers and typical black hole microstates, JHEP11 (2006) 042 [hep-th/0608217] [INSPIRE]. – reference: B.E. Niehoff and N.P. Warner, Doubly-Fluctuating BPS Solutions in Six Dimensions, JHEP10 (2013) 137 [arXiv:1303.5449] [INSPIRE]. – reference: I. Bena, N. Bobev and N.P. Warner, Spectral Flow and the Spectrum of Multi-Center Solutions, Phys. Rev.D 77 (2008) 125025 [arXiv:0803.1203] [INSPIRE]. – reference: I. Bena, E. Martinec, D. Turton and N.P. Warner, M-theory Superstrata and the MSW String, JHEP06 (2017) 137 [arXiv:1703.10171] [INSPIRE]. – reference: S. Giusto, S. Rawash and D. Turton, Ads3holography at dimension two, JHEP07 (2019) 171 [arXiv:1904.12880] [INSPIRE]. – reference: BakhshaeiElahehBombiniAlessandroThree-charge superstrata with internal excitationsClassical and Quantum Gravity20193650550012019CQGra..36e5001B391963010.1088/1361-6382/ab01bc – reference: I. Bena et al., Smooth horizonless geometries deep inside the black-hole regime, Phys. Rev. Lett.117 (2016) 201601 [arXiv:1607.03908] [INSPIRE]. – reference: I. Bena, C.-W. Wang and N.P. Warner, Plumbing the Abyss: Black ring microstates, JHEP07 (2008) 019 [arXiv:0706.3786] [INSPIRE]. – reference: J. Tian, J. Hou and B. Chen, Holographic Correlators on Integrable Superstrata, arXiv:1904.04532 [INSPIRE]. – reference: I. Bena and N.P. Warner, Bubbling supertubes and foaming black holes, Phys. Rev.D 74 (2006) 066001 [hep-th/0505166] [INSPIRE]. – reference: A. Tyukov, R. Walker and N.P. 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bstract
We construct the most general single-mode superstrata in 5 dimensions with ambipolar, two centered Gibbons Hawking bases, via dimensional reduction... We construct the most general single-mode superstrata in 5 dimensions with ambipolar, two centered Gibbons Hawking bases, via dimensional reduction of... Abstract We construct the most general single-mode superstrata in 5 dimensions with ambipolar, two centered Gibbons Hawking bases, via dimensional reduction of... |
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| SubjectTerms | AdS-CFT Correspondence ASTRONOMY AND ASTROPHYSICS Asymptotic properties Black Holes in String Theory Classical and Quantum Gravitation CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Elementary Particles Fluxes High energy physics Mathematical analysis Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory String Theory Uplift Wave equations |
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| Title | D1-D5-P superstrata in 5 and 6 dimensions: separable wave equations and prepotentials |
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