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We define a relational notion of a subsystem in theories of matrix quantum mechanics and show how the corresponding entanglement entropy can be given as a minimisation, exhibiting many similarities to the Ryu-Takayanagi formula.
X. Han and S.A. Hartnoll, Deep Quantum Geometry of Matrices , Phys. Rev. X 10
1906
Earlier work this paper cites.
E.A. Mazenc and D. Ranard, Target space entanglement entropy , JHEP 03
1910
Earlier work this paper cites.
D.L. Jafferis and D.K. Kolchmeyer, Entanglement Entropy in Jackiw-Teitelboim Gravity , 1911.10663
1911
Earlier work this paper cites.
1911
Earlier work this paper cites.
P.A. Hoehn, A.R.H. Smith and M.P.E. Lock, Trinity of relational quantum dynamics , Phys. Rev. D 104
1912
Earlier work this paper cites.
1912
Earlier work this paper cites.
J.D. Bekenstein, Black holes and entropy , Phys. Rev. D 7
1973
Earlier work this paper cites.
G. ’t Hooft, A Planar Diagram Theory for Strong Interactions , Nucl. Phys. B 72
1974
Earlier work this paper cites.
S.W. Hawking, Particle Creation by Black Holes , Commun. Math. Phys. 43
1976
Earlier work this paper cites.
G.W. Gibbons and S.W. Hawking, Action Integrals and Partition Functions in Quantum Gravity , Phys. Rev. D 15
1977
Earlier work this paper cites.
D.N. Page and W.K. Wootters, Evolution without evolution: Dynamics described by stationary observables , Phys. Rev. D 27
1983
Earlier work this paper cites.
B. de Wit, J. Hoppe and H. Nicolai, On the Quantum Mechanics of Supermembranes , Nucl. Phys. B 305
1988
Earlier work this paper cites.
J. Hoppe, Diffeomorphism Groups, Quantization and SU(infinity) , Int. J. Mod. Phys. A 4
1989
Earlier work this paper cites.
W.-M. Zhang, D.H. Feng and R. Gilmore, Coherent States: Theory and Some Applications , Rev. Mod. Phys. 62
1990
Earlier work this paper cites.
J. Madore, The Fuzzy sphere , Class. Quant. Grav. 9
1992
Earlier work this paper cites.
C. Vafa and E. Witten, A Strong coupling test of S duality , Nucl. Phys. B 431
1994
Earlier work this paper cites.
M. Henneaux and C. Teitelboim, Quantization of Gauge Systems , Princeton University Press (8, 1994)
1994
Earlier work this paper cites.
S. Sternberg, Group theory and physics , Cambridge university press (1995)
1995
Earlier work this paper cites.
A. Strominger and C. Vafa, Microscopic origin of the Bekenstein-Hawking entropy , Phys. Lett. B 379
1996
Earlier work this paper cites.
T. Banks, W. Fischler, S.H. Shenker and L. Susskind, M theory as a matrix model: A Conjecture , Phys. Rev. D 55
1997
Earlier work this paper cites.
J.M. Maldacena, The Large N limit of superconformal field theories and supergravity , Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
R.C. Myers, Dielectric branes , JHEP 12
1999
Earlier work this paper cites.
D. Marolf, Group averaging and refined algebraic quantization: Where are we now? , in 9th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories (MG 9) , 7, 2000 [ gr-qc/0011112 ]
2000
Earlier work this paper cites.
S. Minwalla, M. Van Raamsdonk and N. Seiberg, Noncommutative perturbative dynamics , JHEP 02
2000
Earlier work this paper cites.
F. Lizzi, R.J. Szabo and A. Zampini, Geometry of the gauge algebra in noncommutative Yang-Mills theory , JHEP 08
2001
Earlier work this paper cites.
2002
Earlier work this paper cites.
D.E. Berenstein, J.M. Maldacena and H.S. Nastase, Strings in flat space and pp waves from N=4 superYang-Mills , JHEP 04
2002
Earlier work this paper cites.
D.P. Jatkar, G. Mandal, S.R. Wadia and K.P. Yogendran, Matrix dynamics of fuzzy spheres , JHEP 01
2002
Earlier work this paper cites.
K. Dasgupta, M.M. Sheikh-Jabbari and M. Van Raamsdonk, Matrix perturbation theory for M theory on a PP wave , JHEP 05
2002
Earlier work this paper cites.
O.Y. Shvedov, On correspondence of BRST-BFV, Dirac and refined algebraic quantizations of constrained systems , Annals Phys. 302
2002
Earlier work this paper cites.
T.E. Tilma and G. Sudarshan, Generalized Euler angle parametrization for SU(N) , J. Phys. A 35
2002
Cited alongside, same era.
L.D. Paniak and R.J. Szabo, Instanton expansion of noncommutative gauge theory in two dimensions , Commun. Math. Phys. 243
2003
Cited alongside, same era.
2004
Cited alongside, same era.
T.E. Tilma and G. Sudarshan, Generalized Euler angle parametrization for U(N) with applications to SU(N) coset volume measures , J. Geom. Phys. 52
2004
Cited alongside, same era.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT , Phys. Rev. Lett. 96
2006
Cited alongside, same era.
https://fse.studenttheses.ub.rug.nl/14224/1/Generalized_Coherent_States.pdf
T.M. van Haeringen, Generalized Coherent States , 2016 · 2016
Later among the works it cites.
2016
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2017
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D. Harlow, The Ryu–Takayanagi Formula from Quantum Error Correction , Commun. Math. Phys. 354
2017
Later among the works it cites.
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2006
Cited alongside, same era.
D.V. Fursaev, Proof of the holographic formula for entanglement entropy , JHEP 09
2006
Cited alongside, same era.
2006
Cited alongside, same era.
2006
Cited alongside, same era.
2007
Cited alongside, same era.
2007
Cited alongside, same era.
2008
Cited alongside, same era.
2018
Later among the works it cites.
H.Z. Chen and J.L. Karczmarek, Entanglement entropy on a fuzzy sphere with a UV cutoff , JHEP 08
2018
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A.J. Speranza, Local phase space and edge modes for diffeomorphism-invariant theories , JHEP 02
2018
Later among the works it cites.
2019
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T. Anous and C. Cogburn, Mini-BFSS matrix model in silico , Phys. Rev. D 100
2019
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2019
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https://www.youtube.com/watch?v=m1KiuACVQ3I
H. Maxfield, Topology change as extended gauge symmetries of quantum gravity , Sep, 2022 · 2022
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A. Frenkel and S.A. Hartnoll, Entanglement in the Quantum Hall Matrix Model , JHEP 05
2022
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PIRSA:22010079, https://pirsa.org/22010079 ,
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A. Frenkel and S.A. Hartnoll, Emergent area laws from entangled matrices , JHEP 05
2023
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2023
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R. Longo and E. Witten, A note on continuous entropy , Pure Appl. Math. Quart. 19
2023
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2023
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V. Gautam, M. Hanada, A. Jevicki and C. Peng, Matrix entanglement , JHEP 01
2023
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L. Ciambelli, From Asymptotic Symmetries to the Corner Proposal , PoS Modave2022
2023
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C. Akers, A. Levine, G. Penington and E. Wildenhain, One-shot holography , SciPost Phys. 16
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