×

Models of \(\mathrm{AdS}_{2}\) backreaction and holography. (English) Zbl 1388.83079

Summary: We develop models of 1+1 dimensional dilaton gravity describing flows to \(\mathrm{AdS}_{2}\) from higher dimensional AdS and other spaces. We use these to study the effects of backreaction on holographic correlators. We show that this scales as a relevant effect at low energies, for compact transverse spaces. We also discuss effects of matter loops, as in the CGHS model.

MSC:

83C45 Quantization of the gravitational field
81T20 Quantum field theory on curved space or space-time backgrounds
83C47 Methods of quantum field theory in general relativity and gravitational theory
83E30 String and superstring theories in gravitational theory
PDF BibTeX XML Cite
Full Text: DOI arXiv

References:

[1] T. Levi-Civita, Realtà fisica di alcuni spazi normali del Bianchi, R. C. Acad. Lincei26 (1917) 519. · JFM 46.1320.02
[2] B. Bertotti, Uniform electromagnetic field in the theory of general relativity, Phys. Rev.116 (1959) 1331 [INSPIRE]. · Zbl 0093.43403
[3] I. Robertson, A solution of the Einstein-Maxwell equations, Bull. Acad. Polon.7 (1959) 351. · Zbl 0085.42804
[4] S. Ferrara and R. Kallosh, Supersymmetry and attractors, Phys. Rev.D 54 (1996) 1514 [hep-th/9602136] [INSPIRE]. · Zbl 1171.83329
[5] A. Chamblin, R. Emparan, C.V. Johnson and R.C. Myers, Charged AdS black holes and catastrophic holography, Phys. Rev.D 60 (1999) 064018 [hep-th/9902170] [INSPIRE].
[6] N. Iqbal, H. Liu and M. Mezei, Semi-local quantum liquids, JHEP04 (2012) 086 [arXiv:1105.4621] [INSPIRE].
[7] J.M. Maldacena, J. Michelson and A. Strominger, Anti-de Sitter fragmentation, JHEP02 (1999) 011 [hep-th/9812073] [INSPIRE]. · Zbl 0956.83052
[8] C.G. Callan Jr., S.B. Giddings, J.A. Harvey and A. Strominger, Evanescent black holes, Phys. Rev.D 45 (1992) 1005 [hep-th/9111056] [INSPIRE].
[9] S.A. Hartnoll and P. Kovtun, Hall conductivity from dyonic black holes, Phys. Rev.D 76 (2007) 066001 [arXiv:0704.1160] [INSPIRE].
[10] E. D’Hoker and P. Kraus, Magnetic brane solutions in AdS, JHEP10 (2009) 088 [arXiv:0908.3875] [INSPIRE].
[11] A. Donos, J.P. Gauntlett and C. Pantelidou, Magnetic and electric AdS solutions in string- and M-theory, Class. Quant. Grav.29 (2012) 194006 [arXiv:1112.4195] [INSPIRE]. · Zbl 1254.83045
[12] A. Donos and J.P. Gauntlett, Supersymmetric quantum criticality supported by baryonic charges, JHEP10 (2012) 120 [arXiv:1208.1494] [INSPIRE].
[13] A. Almheiri, Magnetic AdS2 × R2at weak and strong coupling, arXiv:1112.4820 [INSPIRE].
[14] A. Sen, Quantum entropy function from AdS2/CFT1correspondence, Int. J. Mod. Phys.A 24 (2009) 4225 [arXiv:0809.3304] [INSPIRE]. · Zbl 1175.83045
[15] A. Sen, State operator correspondence and entanglement in AdS2/CFT1, Entropy13 (2011) 1305 [arXiv:1101.4254] [INSPIRE]. · Zbl 1296.83046
[16] S.P. de Alwis, Quantum black holes in two-dimensions, Phys. Rev.D 46 (1992) 5429 [hep-th/9207095] [INSPIRE].
[17] A. Bilal and C.G. Callan Jr., Liouville models of black hole evaporation, Nucl. Phys.B 394 (1993) 73 [hep-th/9205089] [INSPIRE].
[18] S.B. Giddings and A. Strominger, Quantum theories of dilaton gravity, Phys. Rev.D 47 (1993) 2454 [hep-th/9207034] [INSPIRE].
[19] D. Grumiller, W. Kummer and D.V. Vassilevich, Dilaton gravity in two-dimensions, Phys. Rept.369 (2002) 327 [hep-th/0204253] [INSPIRE]. · Zbl 0998.83038
[20] S.B. Giddings and A. Strominger, Dynamics of extremal black holes, Phys. Rev.D 46 (1992) 627 [hep-th/9202004] [INSPIRE].
[21] S. Kachru, A. Karch and S. Yaida, Holographic lattices, dimers and glasses, Phys. Rev.D 81 (2010) 026007 [arXiv:0909.2639] [INSPIRE].
[22] K. Jensen, S. Kachru, A. Karch, J. Polchinski and E. Silverstein, Towards a holographic marginal Fermi liquid, Phys. Rev.D 84 (2011) 126002 [arXiv:1105.1772] [INSPIRE].
[23] A. Strominger, AdS2quantum gravity and string theory, JHEP01 (1999) 007 [hep-th/9809027] [INSPIRE]. · Zbl 0965.81097
[24] M. Cadoni and S. Mignemi, Asymptotic symmetries of AdS2and conformal group in d = 1, Nucl. Phys.B 557 (1999) 165 [hep-th/9902040] [INSPIRE]. · Zbl 0951.83026
[25] J. Navarro-Salas and P. Navarro, AdS2/CFT1correspondence and near extremal black hole entropy, Nucl. Phys.B 579 (2000) 250 [hep-th/9910076] [INSPIRE]. · Zbl 0992.83070
[26] T. Hartman and A. Strominger, Central charge for AdS2quantum gravity, JHEP04 (2009) 026 [arXiv:0803.3621] [INSPIRE].
[27] D. Grumiller, M. Leston and D. Vassilevich, Anti-de Sitter holography for gravity and higher spin theories in two dimensions, Phys. Rev.D 89 (2014) 044001 [arXiv:1311.7413] [INSPIRE].
[28] J. Preskill, P. Schwarz, A.D. Shapere, S. Trivedi and F. Wilczek, Limitations on the statistical description of black holes, Mod. Phys. Lett.A 6 (1991) 2353 [INSPIRE]. · Zbl 1020.83620
[29] V. Balasubramanian and P. Kraus, A stress tensor for anti-de Sitter gravity, Commun. Math. Phys.208 (1999) 413 [hep-th/9902121] [INSPIRE]. · Zbl 0946.83013
[30] M. Spradlin and A. Strominger, Vacuum states for AdS2black holes, JHEP11 (1999) 021 [hep-th/9904143] [INSPIRE]. · Zbl 0955.83016
[31] A. Almheiri and B. Kang, Magnetic brane backreaction scale, work in progress.
[32] T. Banks, A. Dabholkar, M.R. Douglas and M. O’Loughlin, Are horned particles the climax of Hawking evaporation?, Phys. Rev.D 45 (1992) 3607 [hep-th/9201061] [INSPIRE].
[33] S.B. Giddings and W.M. Nelson, Quantum emission from two-dimensional black holes, Phys. Rev.D 46 (1992) 2486 [hep-th/9204072] [INSPIRE].
[34] A. Almheiri and J. Sully, An uneventful horizon in two dimensions, JHEP02 (2014) 108 [arXiv:1307.8149] [INSPIRE]. · Zbl 1333.83055
[35] A. Almheiri, D. Marolf, J. Polchinski, D. Stanford and J. Sully, An apologia for firewalls, JHEP09 (2013) 018 [arXiv:1304.6483] [INSPIRE].
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.