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Holography in \(\widehat{\mathrm{CGHS}}\) supergravity. (English) Zbl 07690573

Summary: We study holographic aspects of 2D dilaton-supergravity in flat space-time using gauge theoretic BF formulation. The asymptotic symmetries in Bondi gauge and at finite temperature span a supersymmetric extension of the warped Virasoro algebra at level zero. The boundary action is determined such that the bulk variational principle is ensured and turns out to be a super-warped Schwarzian theory at the vanishing level. We also study the thermodynamics of the black hole saddle in this model.

MSC:

83E50 Supergravity
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
81T60 Supersymmetric field theories in quantum mechanics

References:

[1] Grumiller, D.; Kummer, W.; Vassilevich, DV, Dilaton gravity in two-dimensions, Phys. Rept., 369, 327 (2002) · Zbl 0998.83038 · doi:10.1016/S0370-1573(02)00267-3
[2] R. Jackiw, Lower Dimensional Gravity, Nucl. Phys. B252 (1985) 343 [INSPIRE].
[3] C. Teitelboim, Gravitation and Hamiltonian Structure in Two Space-Time Dimensions, Phys. Lett. B126 (1983) 41 [INSPIRE].
[4] S. Sachdev and J. Ye, Gapless spin fluid ground state in a random, quantum Heisenberg magnet, Phys. Rev. Lett.70 (1993) 3339 [cond-mat/9212030] [INSPIRE].
[5] Sachdev, S., Holographic metals and the fractionalized Fermi liquid, Phys. Rev. Lett., 105 (2010) · doi:10.1103/PhysRevLett.105.151602
[6] A. Kitaev, A simple model of quantum holography, KITP strings seminars (2015), http://online.kitp.ucsb.edu/online/entangled15/ and http://online.kitp.ucsb.edu/online/entangled15/kitaev2/.
[7] Kitaev, A.; Suh, SJ, The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual, JHEP, 05, 183 (2018) · Zbl 1391.83080 · doi:10.1007/JHEP05(2018)183
[8] Almheiri, A.; Polchinski, J., Models of AdS_2backreaction and holography, JHEP, 11, 014 (2015) · Zbl 1388.83079 · doi:10.1007/JHEP11(2015)014
[9] Maldacena, J.; Stanford, D., Remarks on the Sachdev-Ye-Kitaev model, Phys. Rev. D, 94 (2016) · doi:10.1103/PhysRevD.94.106002
[10] J. Maldacena, D. Stanford and Z. Yang, Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space, PTEP2016 (2016) 12C104 [arXiv:1606.01857] [INSPIRE]. · Zbl 1361.81112
[11] Engelsöy, J.; Mertens, TG; Verlinde, H., An investigation of AdS_2backreaction and holography, JHEP, 07, 139 (2016) · Zbl 1390.83104 · doi:10.1007/JHEP07(2016)139
[12] M. Cvetič and I. Papadimitriou, AdS_2holographic dictionary, JHEP12 (2016) 008 [arXiv:1608.07018] [Erratum ibid.01 (2017) 120] [INSPIRE].
[13] Sachdev, S., Bekenstein-Hawking Entropy and Strange Metals, Phys. Rev. X, 5 (2015)
[14] Davison, RA; Fu, W.; Georges, A.; Gu, Y.; Jensen, K.; Sachdev, S., Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography, Phys. Rev. B, 95 (2017) · doi:10.1103/PhysRevB.95.155131
[15] Bulycheva, K., A note on the SYK model with complex fermions, JHEP, 12, 069 (2017) · Zbl 1383.81188 · doi:10.1007/JHEP12(2017)069
[16] Chaturvedi, P.; Gu, Y.; Song, W.; Yu, B., A note on the complex SYK model and warped CFTs, JHEP, 12, 101 (2018) · Zbl 1405.81121 · doi:10.1007/JHEP12(2018)101
[17] Gaikwad, A.; Joshi, LK; Mandal, G.; Wadia, SR, Holographic dual to charged SYK from 3D Gravity and Chern-Simons, JHEP, 02, 033 (2020) · Zbl 1435.83149 · doi:10.1007/JHEP02(2020)033
[18] Gu, Y.; Kitaev, A.; Sachdev, S.; Tarnopolsky, G., Notes on the complex Sachdev-Ye-Kitaev model, JHEP, 02, 157 (2020) · Zbl 1435.83154 · doi:10.1007/JHEP02(2020)157
[19] Afshar, HR, Warped Schwarzian theory, JHEP, 02, 126 (2020) · doi:10.1007/JHEP02(2020)126
[20] Afshar, H.; González, HA; Grumiller, D.; Vassilevich, D., Flat space holography and the complex Sachdev-Ye-Kitaev model, Phys. Rev. D, 101 (2020) · doi:10.1103/PhysRevD.101.086024
[21] Godet, V.; Marteau, C., New boundary conditions for AdS_2, JHEP, 12, 020 (2020) · Zbl 1457.83042 · doi:10.1007/JHEP12(2020)020
[22] Afshar, H.; Esmaeili, E.; Safari, HR, Flat space holography in spin-2 extended dilaton-gravity, JHEP, 07, 126 (2021) · Zbl 1468.83033 · doi:10.1007/JHEP07(2021)126
[23] Godet, V.; Marteau, C., From black holes to baby universes in CGHS gravity, JHEP, 07, 138 (2021) · Zbl 1468.83030 · doi:10.1007/JHEP07(2021)138
[24] Callan, CG Jr; Giddings, SB; Harvey, JA; Strominger, A., Evanescent black holes, Phys. Rev. D, 45, R1005 (1992) · doi:10.1103/PhysRevD.45.R1005
[25] Cangemi, D.; Jackiw, R., Gauge invariant formulations of lineal gravity, Phys. Rev. Lett., 69, 233 (1992) · Zbl 0968.81546 · doi:10.1103/PhysRevLett.69.233
[26] Kar, A.; Lamprou, L.; Marteau, C.; Rosso, F., Celestial Matrix Model, Phys. Rev. Lett., 129 (2022) · doi:10.1103/PhysRevLett.129.201601
[27] A. Kar, L. Lamprou, C. Marteau and F. Rosso, A Matrix Model for Flat Space Quantum Gravity, arXiv:2208.05974 [INSPIRE].
[28] Rosso, F., A solvable model of flat space holography, JHEP, 02, 037 (2023) · Zbl 1541.83081 · doi:10.1007/JHEP02(2023)037
[29] Rivelles, VO, Topological two-dimensional dilaton supergravity, Phys. Lett. B, 321, 189 (1994) · doi:10.1016/0370-2693(94)90462-6
[30] Cangemi, D.; Leblanc, M., Two-dimensional gauge theoretic supergravities, Nucl. Phys. B, 420, 363 (1994) · Zbl 0990.83571 · doi:10.1016/0550-3213(94)90386-7
[31] D. Freedman and A. Van Proeyen, Supergravity, Cambridge University Press (2012). · Zbl 1245.83001
[32] H. Murayama, Notes on Clifford algebra and Spin(N) representations physics, (2007).
[33] Nappi, CR; Witten, E., A WZW model based on a nonsemisimple group, Phys. Rev. Lett., 71, 3751 (1993) · Zbl 0972.81635 · doi:10.1103/PhysRevLett.71.3751
[34] Wetterich, C., Spinors in euclidean field theory, complex structures and discrete symmetries, Nucl. Phys. B, 852, 174 (2011) · Zbl 1229.81168 · doi:10.1016/j.nuclphysb.2011.06.013
[35] Afshar, H.; Detournay, S.; Grumiller, D.; Oblak, B., Near-Horizon Geometry and Warped Conformal Symmetry, JHEP, 03, 187 (2016) · Zbl 1388.83362 · doi:10.1007/JHEP03(2016)187
[36] Bergamin, L.; Grumiller, D.; Kummer, W., Quantization of 2-D dilaton supergravity with matter, JHEP, 05, 060 (2004) · doi:10.1088/1126-6708/2004/05/060
[37] Cárdenas, M.; Fuentealba, O.; González, HA; Grumiller, D.; Valcárcel, C.; Vassilevich, D., Boundary theories for dilaton supergravity in 2D, JHEP, 11, 077 (2018) · Zbl 1404.83132 · doi:10.1007/JHEP11(2018)077
[38] Fan, Y.; Mertens, TG, Supergroup structure of Jackiw-Teitelboim supergravity, JHEP, 08, 002 (2022) · Zbl 1522.83382 · doi:10.1007/JHEP08(2022)002
[39] Grumiller, D.; McNees, R.; Salzer, J.; Valcárcel, C.; Vassilevich, D., Menagerie of AdS_2boundary conditions, JHEP, 10, 203 (2017) · Zbl 1383.83114 · doi:10.1007/JHEP10(2017)203
[40] G. Barnich and G. Compere, Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions, Class. Quant. Grav.24 (2007) F15 [gr-qc/0610130] [INSPIRE]. · Zbl 1111.83045
[41] Barnich, G.; Troessaert, C., Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited, Phys. Rev. Lett., 105 (2010) · doi:10.1103/PhysRevLett.105.111103
[42] Bagchi, A., Correspondence between Asymptotically Flat Spacetimes and Nonrelativistic Conformal Field Theories, Phys. Rev. Lett., 105 (2010) · doi:10.1103/PhysRevLett.105.171601
[43] Barnich, G.; Troessaert, C., BMS charge algebra, JHEP, 12, 105 (2011) · Zbl 1306.83002 · doi:10.1007/JHEP12(2011)105
[44] Barnich, G.; Troessaert, C., Comments on holographic current algebras and asymptotically flat four dimensional spacetimes at null infinity, JHEP, 11, 003 (2013) · Zbl 1342.83228 · doi:10.1007/JHEP11(2013)003
[45] B. Oblak, BMS Particles in Three Dimensions, Ph.D. Thesis, Brussels University, Brussels Belgium (2016) [arXiv:1610.08526] [INSPIRE].
[46] Afshar, H.; Bagchi, A.; Fareghbal, R.; Grumiller, D.; Rosseel, J., Spin-3 Gravity in Three-Dimensional Flat Space, Phys. Rev. Lett., 111 (2013) · doi:10.1103/PhysRevLett.111.121603
[47] Safari, HR; Sheikh-Jabbari, MM, BMS_4algebra, its stability and deformations, JHEP, 04, 068 (2019) · doi:10.1007/JHEP04(2019)068
[48] Farahmand Parsa, A.; Safari, HR; Sheikh-Jabbari, MM, On Rigidity of 3d Asymptotic Symmetry Algebras, JHEP, 03, 143 (2019) · Zbl 1414.81127 · doi:10.1007/JHEP03(2019)143
[49] Afshar, H.; Oblak, B., Flat JT gravity and the BMS-Schwarzian, JHEP, 11, 172 (2022) · Zbl 1536.83008 · doi:10.1007/JHEP11(2022)172
[50] Barnich, G.; Donnay, L.; Matulich, J.; Troncoso, R., Asymptotic symmetries and dynamics of three-dimensional flat supergravity, JHEP, 08, 071 (2014) · doi:10.1007/JHEP08(2014)071
[51] Fuentealba, O.; González, HA; Pérez, A.; Tempo, D.; Troncoso, R., Superconformal Bondi-Metzner-Sachs Algebra in Three Dimensions, Phys. Rev. Lett., 126 (2021) · doi:10.1103/PhysRevLett.126.091602
[52] Barnich, G.; Gonzalez, HA; Salgado-Rebolledo, P., Geometric actions for three-dimensional gravity, Class. Quant. Grav., 35 (2018) · Zbl 1382.83073 · doi:10.1088/1361-6382/aa9806
[53] P. Saad, S.H. Shenker and D. Stanford, JT gravity as a matrix integral, arXiv:1903.11115 [INSPIRE].
[54] Grumiller, D.; Ruzziconi, R.; Zwikel, C., Generalized dilaton gravity in 2d, SciPost Phys., 12, 032 (2022) · doi:10.21468/SciPostPhys.12.1.032
[55] Grumiller, D.; Hartong, J.; Prohazka, S.; Salzer, J., Limits of JT gravity, JHEP, 02, 134 (2021) · Zbl 1460.83067 · doi:10.1007/JHEP02(2021)134
[56] Ecker, F.; Valcárcel, C.; Vassilevich, D., 2D holography beyond the Jackiw-Teitelboim model, JHEP, 09, 182 (2021) · Zbl 1472.83068 · doi:10.1007/JHEP09(2021)182
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