Finite N and the failure of bulk locality: black holes in AdS/CFT

被引：0

作者：

Kabat D. ^{[1
]}

Lifschytz G. ^{[2
]}

机构：

[1] Department of Physics and Astronomy, Lehman College, City University of New York, 250 Bedford Park Blvd. W, Bronx, 10468, NY

[2] Department of Mathematics and Physics, University of Haifa at Oranim, 230 Derech Kiryat Amal, Kiryat Tivon

来源：

Journal of High Energy Physics | / 2014卷 / 9期

关键词：

AdS-CFT Correspondence; Black Holes in String Theory; Models of Quantum Gravity;

D O I：

10.1007/JHEP09(2014)077

中图分类号：

学科分类号：

摘要：

Abstract: We consider bulk quantum fields in AdS/CFT in the background of an eternal black hole. We show that for black holes with finite entropy, correlation functions of semiclassical bulk operators close to the horizon deviate from their semiclassical value and are ill-defined inside the horizon. This is due to the large-time behavior of correlators in a unitary CFT, and means the region near and inside the horizon receives corrections. We give a prescription for modifying the definition of a bulk field in a black hole background, such that one can still define operators that mimic the inside of the horizon, but at the price of violating microcausality. For supergravity fields we find that commutators at spacelike separation generically ~ e−S/2. Similar results hold for stable black holes that form in collapse. The general lesson may be that a small amount of non-locality, even over arbitrarily large spacelike distances, is an essential aspect of non-perturbative quantum gravity. © 2014, The Author(s).

引用

页码：1 / 32

页数：31

共 46 条

[1]

Susskind L., The world as a hologram, J. Math. Phys., 36, (1995)

[2]

Balasubramanian V., Kraus P., Lawrence A.E., Bulk versus boundary dynamics in anti-de Sitter space-time, Phys. Rev., D 59, (1999)

[3]

Dobrev V.K., Intertwining operator realization of the AdS/CFT correspondence, Nucl. Phys., B 553, (1999)

[4]

Bena I., On the construction of local fields in the bulk of AdS<sub>5</sub> and other spaces, Phys. Rev., D 62, (2000)

[5]

Hamilton A., Kabat D.N., Lifschytz G., Lowe D.A., Local bulk operators in AdS/CFT: a boundary view of horizons and locality, Phys. Rev., D 73, (2006)

[6]

Hamilton A., Kabat D.N., Lifschytz G., Lowe D.A., Holographic representation of local bulk operators, Phys. Rev., D 74, (2006)

[7]

Heemskerk I., Construction of bulk fields with gauge redundancy, JHEP, 9, (2012)

[8]

Kabat D., Lifschytz G., Roy S., Sarkar D., Holographic representation of bulk fields with spin in AdS/CFT, Phys. Rev., D 86, (2012)

[9]

Kabat D., Lifschytz G., Lowe D.A., Constructing local bulk observables in interacting AdS/CFT, Phys. Rev., D 83, (2011)

[10]

Heemskerk I., Marolf D., Polchinski J., Sully J., Bulk and transhorizon measurements in AdS/CFT, JHEP, 10, (2012)

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