Abstract
We consider the construction of local bulk operators in a black hole background dual to a pure state in conformal field theory. The properties of these operators in a microcanonical ensemble are studied. It has been argued in the literature that typical states in such an ensemble contain firewalls, or otherwise singular horizons. We argue this conclusion can be avoided with a proper definition of the interior operators.
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References
D.G. Boulware, Quantum field theory in Schwarzschild and Rindler spaces, Phys. Rev. D 11 (1975) 1404 [INSPIRE].
J. Hartle and S. Hawking, Path integral derivation of black hole radiance, Phys. Rev. D 13 (1976) 2188 [INSPIRE].
S. Hawking and D.N. Page, Thermodynamics of black holes in Anti-de Sitter space, Commun. Math. Phys. 87 (1983) 577 [INSPIRE].
D. Marolf and J. Polchinski, Gauge/gravity duality and the black hole interior, Phys. Rev. Lett. 111 (2013) 171301 [arXiv:1307.4706] [INSPIRE].
W. Unruh, Notes on black hole evaporation, Phys. Rev. D 14 (1976) 870 [INSPIRE].
S.S. Gubser, I.R. Klebanov and A.W. Peet, Entropy and temperature of black 3-branes, Phys. Rev. D 54 (1996) 3915 [hep-th/9602135] [INSPIRE].
D.A. Lowe, Black hole complementarity from AdS/CFT, Phys. Rev. D 79 (2009) 106008 [arXiv:0903.1063] [INSPIRE].
A. Hamilton, D.N. Kabat, G. Lifschytz and D.A. Lowe, Local bulk operators in AdS/CFT: a holographic description of the black hole interior, Phys. Rev. D 75 (2007) 106001 [Erratum ibid. D 75 (2007) 129902] [hep-th/0612053] [INSPIRE].
A. Hamilton, D.N. Kabat, G. Lifschytz and D.A. Lowe, Local bulk operators in AdS/CFT and the fate of the BTZ singularity, AMS/IP Stud. Adv. Math. 44 (2008) 85 [arXiv:0710.4334] [INSPIRE].
S.G. Avery and D.A. Lowe, Event horizons and holography, arXiv:1310.7999 [INSPIRE].
D.A. Lowe and L. Thorlacius, Black hole complementarity: The inside view, Phys. Lett. B 737 (2014) 320 [arXiv:1402.4545] [INSPIRE].
S.H. Shenker and D. Stanford, Black holes and the butterfly effect, JHEP 03 (2014) 067 [arXiv:1306.0622] [INSPIRE].
K. Papadodimas and S. Raju, Black hole interior in the holographic correspondence and the information paradox, Phys. Rev. Lett. 112 (2014) 051301 [arXiv:1310.6334] [INSPIRE].
D.A. Lowe and L. Thorlacius, Quantum information erasure inside black holes, JHEP 12 (2015) 096 [arXiv:1508.06572] [INSPIRE].
D.A. Lowe and L. Thorlacius, Pure states and black hole complementarity, Phys. Rev. D 88 (2013) 044012 [arXiv:1305.7459] [INSPIRE].
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ArXiv ePrint: 1501.05573
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Avery, S.G., Lowe, D.A. Typical event horizons in AdS/CFT. J. High Energ. Phys. 2016, 82 (2016). https://doi.org/10.1007/JHEP01(2016)082
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DOI: https://doi.org/10.1007/JHEP01(2016)082