Wigner meets ’t Hooft near the black hole horizon

Johnson, Clifford V.

doi:10.1142/s0218271822420032

Wigner meets ’t Hooft near the black hole horizon

Journal Article · 15 October 2022 · International Journal of Modern Physics D

DOI:https://doi.org/10.1142/s0218271822420032· OSTI ID:2420126

Johnson, Clifford V. ^[1]

Department of Physics, Princeton University, Princeton, NJ 08544-0708, USA; Department of Physics and Astronomy, University of Southern California, Los Angeles, CA 90089-0484, USA; OSTI

Recent work on Euclidean quantum gravity, black hole thermodynamics, and the holographic principle has seen the return of random matrix models as a powerful tool. It is explained how they allow for the study of the physics well beyond the perturbative expansion. In fact, a fully nonperturbative treatment naturally unites the familiar approach of summing over smooth geometries of all topologies with the statistical approach to characterize the typical properties of a Hamiltonian. Remarkably, this leads to an explicit excavation of the underlying microstates of quantum gravity that has applications to the low-temperature dynamics of a large class of black holes.

Research Organization:: Univ. of Southern California, Los Angeles, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: SC0011687

OSTI ID:: 2420126

Journal Information:: International Journal of Modern Physics D, Journal Name: International Journal of Modern Physics D Journal Issue: 14 Vol. 31; ISSN 0218-2718

Publisher:: World Scientific

Country of Publication:: United States

Language:: English

References (59)

Characteristic Vectors of Bordered Matrices With Infinite Dimensions Wigner, Eugene P. The Annals of Mathematics, Vol. 62, Issue 3 https://doi.org/10.2307/1970079	journal	November 1955
The Appearance of Matter Fields from Quantum Fluctuations of 2d-Gravity Kazakov, V. A. Modern Physics Letters A, Vol. 04, Issue 22 https://doi.org/10.1142/S0217732389002392	journal	October 1989
Lower dimensional gravity Jackiw, Roman Nuclear Physics B, Vol. 252 https://doi.org/10.1016/0550-3213(85)90448-1	journal	January 1985
Universal scaling of the tail of the density of eigenvalues in random matrix models Bowick, Mark J.; Brézin, Edouard Physics Letters B, Vol. 268, Issue 1 https://doi.org/10.1016/0370-2693(91)90916-E	journal	October 1991
Level-spacing distributions and the Airy kernel Tracy, Craig A.; Widom, Harold Communications in Mathematical Physics, Vol. 159, Issue 1 https://doi.org/10.1007/BF02100489	journal	January 1994
Black Holes and Entropy Bekenstein, Jacob D. Physical Review D, Vol. 7, Issue 8 https://doi.org/10.1103/PhysRevD.7.2333	journal	April 1973
Nonperturbative Jackiw-Teitelboim gravity Johnson, Clifford V. Physical Review D, Vol. 101, Issue 10 https://doi.org/10.1103/PhysRevD.101.106023	journal	May 2020
Particle creation by black holes Hawking, S. W. Communications In Mathematical Physics, Vol. 43, Issue 3 https://doi.org/10.1007/BF02345020	journal	August 1975
Explorations of nonperturbative Jackiw-Teitelboim gravity and supergravity Johnson, Clifford V. Physical Review D, Vol. 103, Issue 4 https://doi.org/10.1103/PhysRevD.103.046013	journal	February 2021
Quenched free energy from spacetime D-branes Okuyama, Kazumi Journal of High Energy Physics, Vol. 2021, Issue 3 https://doi.org/10.1007/JHEP03(2021)073	journal	March 2021
Exactly solvable field theories of closed strings Brézin, E.; Kazakov, V. A. Physics Letters B, Vol. 236, Issue 2 https://doi.org/10.1016/0370-2693(90)90818-Q	journal	February 1990
Remarks on the Sachdev-Ye-Kitaev model Maldacena, Juan; Stanford, Douglas Physical Review D, Vol. 94, Issue 10 https://doi.org/10.1103/PhysRevD.94.106002	journal	November 2016
The large $N$ limit of superconformal field theories and supergravity Maldacena, Juan Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2 https://doi.org/10.4310/ATMP.1998.v2.n2.a1	journal	January 1998
Thermodynamics of black holes in anti-de Sitter space Hawking, S. W.; Page, Don N. Communications in Mathematical Physics, Vol. 87, Issue 4 https://doi.org/10.1007/BF01208266	journal	December 1983
Open-Closed Duality: Lessons from Matrix Model Sen, Ashoke Modern Physics Letters A, Vol. 19, Issue 11 https://doi.org/10.1142/S0217732304013581	journal	April 2004
Strings in less than one dimension Douglas, Michael R.; Shenker, Stephen H. Nuclear Physics B, Vol. 335, Issue 3 https://doi.org/10.1016/0550-3213(90)90522-F	journal	May 1990
Uniform Electromagnetic Field in the Theory of General Relativity Bertotti, B. Physical Review, Vol. 116, Issue 5 https://doi.org/10.1103/PhysRev.116.1331	journal	December 1959
Models of AdS2 backreaction and holography Almheiri, Ahmed; Polchinski, Joseph Journal of High Energy Physics, Vol. 2015, Issue 11 https://doi.org/10.1007/JHEP11(2015)014	journal	November 2015
Exact vs. Semiclassical Target Space of the Minimal String Maldacena, Juan; Moore, Gregory; Seiberg, Nathan Journal of High Energy Physics, Vol. 2004, Issue 10 https://doi.org/10.1088/1126-6708/2004/10/020	journal	October 2004
Classification of Critical Hermitian Matrix Models Dalley, Simon; Johnson, Clifford V.; Morris, Tim Modern Physics Letters A, Vol. 06, Issue 05 https://doi.org/10.1142/S0217732391000440	journal	February 1991
Sur la loi limite de l'espacement des valeurs propres d'une matrice ale´atoire Gaudin, Michel Nuclear Physics, Vol. 25 https://doi.org/10.1016/0029-5582(61)90176-6	journal	May 1961
Free energy from replica wormholes Engelhardt, Netta; Fischetti, Sebastian; Maloney, Alexander Physical Review D, Vol. 103, Issue 4 https://doi.org/10.1103/PhysRevD.103.046021	journal	February 2021
Rolling tachyons from Liouville theory Schomerus, Volker Journal of High Energy Physics, Vol. 2003, Issue 11 https://doi.org/10.1088/1126-6708/2003/11/043	journal	November 2003
Sur une classe d’équations fonctionnelles Fredholm, Ivar Acta Mathematica, Vol. 27, Issue 0 https://doi.org/10.1007/BF02421317	journal	January 1903
Action integrals and partition functions in quantum gravity Gibbons, G. W.; Hawking, S. W. Physical Review D, Vol. 15, Issue 10 https://doi.org/10.1103/PhysRevD.15.2752	journal	May 1977
On the dynamics of near-extremal black holes Nayak, Pranjal; Shukla, Ashish; Soni, Ronak M. Journal of High Energy Physics, Vol. 2018, Issue 9 https://doi.org/10.1007/JHEP09(2018)048	journal	September 2018
Low-temperature entropy in JT gravity Janssen, Oliver; Mirbabayi, Mehrdad Journal of High Energy Physics, Vol. 2021, Issue 6 https://doi.org/10.1007/JHEP06(2021)074	journal	June 2021
Path-integral derivation of black-hole radiance Hartle, J. B.; Hawking, S. W. Physical Review D, Vol. 13, Issue 8 https://doi.org/10.1103/PhysRevD.13.2188	journal	April 1976
Non-perturbative effects in matrix models and D-branes Alexandrov, Sergei Yu; Kazakov, Vladimir A.; Kutasov, David Journal of High Energy Physics, Vol. 2003, Issue 09 https://doi.org/10.1088/1126-6708/2003/09/057	journal	September 2003
Chaos in AdS 2 Holography Jensen, Kristan Physical Review Letters, Vol. 117, Issue 11 https://doi.org/10.1103/PhysRevLett.117.111601	journal	September 2016
Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space Maldacena, Juan; Stanford, Douglas; Yang, Zhenbin Progress of Theoretical and Experimental Physics, Vol. 2016, Issue 12 https://doi.org/10.1093/ptep/ptw124	journal	November 2016
Gravitation and hamiltonian structure in two spacetime dimensions Teitelboim, Claudio Physics Letters B, Vol. 126, Issue 1-2 https://doi.org/10.1016/0370-2693(83)90012-6	journal	June 1983
An investigation of AdS2 backreaction and holography Engelsöy, Julius; Mertens, Thomas G.; Verlinde, Herman Journal of High Energy Physics, Vol. 2016, Issue 7 https://doi.org/10.1007/JHEP07(2016)139	journal	July 2016
D-brane decay in two-dimensional string theory Klebanov, Igor R.; Maldacena, Juan; Seiberg, Nathan Journal of High Energy Physics, Vol. 2003, Issue 07 https://doi.org/10.1088/1126-6708/2003/07/045	journal	July 2003
Ad S 2 dilaton gravity from reductions of some nonrelativistic theories Kolekar, Kedar S.; Narayan, K. Physical Review D, Vol. 98, Issue 4 https://doi.org/10.1103/PhysRevD.98.046012	journal	August 2018
A universal Schwarzian sector in two-dimensional conformal field theories Ghosh, Animik; Maxfield, Henry; Turiaci, Gustavo J. Journal of High Energy Physics, Vol. 2020, Issue 5 https://doi.org/10.1007/JHEP05(2020)104	journal	May 2020
Planar diagrams, two-dimensional lattice gravity and surface models David, F. Nuclear Physics B, Vol. 257 https://doi.org/10.1016/0550-3213(85)90335-9	journal	January 1985
Dirichlet Branes and Ramond-Ramond Charges Polchinski, Joseph Physical Review Letters, Vol. 75, Issue 26 https://doi.org/10.1103/PhysRevLett.75.4724	journal	December 1995
Fermionic localization of the schwarzian theory Stanford, Douglas; Witten, Edward Journal of High Energy Physics, Vol. 2017, Issue 10 https://doi.org/10.1007/JHEP10(2017)008	journal	October 2017
Planar diagrams Brézin, E.; Itzykson, C.; Parisi, G. Communications in Mathematical Physics, Vol. 59, Issue 1 https://doi.org/10.1007/BF01614153	journal	February 1978
Classical and Quantum D-branes in 2D String Theory McGreevy, John; Teschner, Joerg; Verlinde, Herman Journal of High Energy Physics, Vol. 2004, Issue 01 https://doi.org/10.1088/1126-6708/2004/01/039	journal	January 2004
Anti de Sitter space and holography Witten, Edward Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2 https://doi.org/10.4310/ATMP.1998.v2.n2.a2	journal	January 1998
Quantum Gravity Microstates from Fredholm Determinants Johnson, Clifford V. Physical Review Letters, Vol. 127, Issue 18 https://doi.org/10.1103/PhysRevLett.127.181602	journal	October 2021
A nonperturbative treatment of two-dimensional quantum gravity Gross, David J.; Migdal, Alexander A. Nuclear Physics B, Vol. 340, Issue 2-3 https://doi.org/10.1016/0550-3213(90)90450-R	journal	August 1990
Jackiw-Teitelboim supergravity, minimal strings, and matrix models Johnson, Clifford V. Physical Review D, Vol. 103, Issue 4 https://doi.org/10.1103/PhysRevD.103.046012	journal	February 2021
Nonperturbative two-dimensional quantum gravity Gross, David J.; Migdal, Alexander A. Physical Review Letters, Vol. 64, Issue 2 https://doi.org/10.1103/PhysRevLett.64.127	journal	January 1990
Unitary and Complex Matrix Models as 1-d Type 0 Strings Klebanov, I. R.; Maldacena, J.; Seiberg, N. Communications in Mathematical Physics, Vol. 252, Issue 1-3 https://doi.org/10.1007/s00220-004-1183-7	journal	September 2004
Theory of spin glasses Edwards, S. F.; Anderson, P. W. Journal of Physics F: Metal Physics, Vol. 5, Issue 5 https://doi.org/10.1088/0305-4608/5/5/017	journal	May 1975
A planar diagram theory for strong interactions Hooft, G. 't Nuclear Physics B, Vol. 72, Issue 3 https://doi.org/10.1016/0550-3213(74)90154-0	journal	April 1974
Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces Mirzakhani, Maryam Inventiones mathematicae, Vol. 167, Issue 1 https://doi.org/10.1007/s00222-006-0013-2	journal	October 2006
The spectrum edge of random matrix ensembles Forrester, P. J. Nuclear Physics B, Vol. 402, Issue 3 https://doi.org/10.1016/0550-3213(93)90126-A	journal	August 1993
Randomly triangulated surfaces in - 2 dimensions David, F. Physics Letters B, Vol. 159, Issue 4-6 https://doi.org/10.1016/0370-2693(85)90255-2	journal	September 1985
The world as a hologram Susskind, Leonard Journal of Mathematical Physics, Vol. 36, Issue 11 https://doi.org/10.1063/1.531249	journal	November 1995
Anti-de Sitter space, thermal phase transition, and confinement in gauge theories Witten, Edward Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 3 https://doi.org/10.4310/ATMP.1998.v2.n3.a3	journal	January 1998
Quantum field theory techniques in graphical enumeration Bessis, D.; Itzykson, C.; Zuber, J. B. Advances in Applied Mathematics, Vol. 1, Issue 2 https://doi.org/10.1016/0196-8858(80)90008-1	journal	June 1980
Gauge theory correlators from non-critical string theory Gubser, S. S.; Klebanov, I. R.; Polyakov, A. M. Physics Letters B, Vol. 428, Issue 1-2 https://doi.org/10.1016/S0370-2693(98)00377-3	journal	May 1998
Strings from tachyons: the c = 1 matrix reloaded McGreevy, John; Verlinde, Herman Journal of High Energy Physics, Vol. 2003, Issue 12 https://doi.org/10.1088/1126-6708/2003/12/054	journal	December 2003
Relating black holes in two and three dimensions Achúcarro, Ana; Ortiz, Miguel E. Physical Review D, Vol. 48, Issue 8 https://doi.org/10.1103/PhysRevD.48.3600	journal	October 1993
Critical properties of randomly triangulated planar random surfaces Kazakov, V. A.; Kostov, I. K.; Migdal, A. A. Physics Letters B, Vol. 157, Issue 4 https://doi.org/10.1016/0370-2693(85)90669-0	journal	July 1985

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