Entanglement interpretation of black hole entropy in string theory

Journal of High Energy Physics

Volumn , Issue 1, 2006, Pages 2515-2532

  Brustein, Ram ^a   Einhorn, Martin B ^b,c   Yarom, Amos ^a  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c UNIVERSITY OF MICHIGAN   (United States)

Author keywords

AdS CFT Correspondence; Black Holes; Black Holes in String Theory

Indexed keywords

EID: 33645519586     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/01/098     Document Type: Article

References (54)

1. J.D. Bekenstein, Black holes and entropy 1973 Phys. Rev. D 7 2333
2. S. W. Hawking, Particle creation by black holes 1975 Comm. Math. Phys. 43 199
3. J.D. Bekenstein, A universal upper bound on the entropy to energy ratio for bounded systems 1981 Phys. Rev. D 23 287
4. G. 't Hooft, Dimensional reduction in quantum gravity [gr-qc/9310026]
5. L. Susskind, The world as a hologram 1995 J. Math. Phys. 36 6377 [hep-th/9409089]
6. R. Bousso, The holographic principle 2002 Rev. Mod. Phys. 74 825 [hep-th/0203101]
7. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity 1998 Adv. Theor. Math. Phys. 2 231 [hep-th/9711200]
8. for a review see O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large N field theories, string theory and gravity 2000 Phys. Rep. 323 183, [hep-th/9905111]
9. A. Strominger and C. Vafa, Microscopic origin of the Bekenstein-Hawking entropy 1996 Phys. Lett. B 379 99 [hep-th/9601029]
10. J.M. Maldacena, A. Strominger and E. Witten, Black hole entropy in M-theory 1997 J. High Energy Phys. JHEP12(1997)002 [hep-th/9711053]
11. M. Cyrier, M. Guica, D. Mateos and A. Strominger, Microscopic entropy of the black ring 2005 Phys. Rev. Lett. 94 191601 [hep-th/0411187]
12. S.S. Gubser, I.R. Klebanov and A.W. Peet, Entropy and temperature of black 3-branes 1996 Phys. Rev. D 54 3915 [hep-th/9602135]
13. A. Sen, Extremal black holes and elementary string states 1995 Mod. Phys. Lett. A 10 2081 [hep-th/9504147]
14. O. Lunin and S.D. Mathur, Statistical interpretation of Bekenstein entropy for systems with a stretched horizon 2002 Phys. Rev. Lett. 88 211303 [hep-th/0202072]
15. S.D. Mathur, Where are the states of a black hole? [hep-th/0401115]
16. B.S. Kay and R.M. Wald, Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on space-times with a bifurcate killing horizon 1991 Phys. Rep. 207 49
17. J. Louko and D. Marolf, Single-exterior black holes and the AdS-CFT conjecture 1999 Phys. Rev. D 59 066002 [hep-th/9808081]
18. 3 black holes and a stringy exclusion principle 1998 J. High Energy Phys. JHEP12(1998)005 [hep-th/9804085]
19. J.M. Maldacena, Eternal black holes in anti-de-Sitter 2003 J. High Energy Phys. JHEP04(2003)021 [hep-th/0106112]
20. L. Susskind and J. Uglum, Black hole entropy in canonical quantum gravity and superstring theory 1994 Phys. Rev. D 50 2700 [hep-th/9401070]
21. C.G. Callan Jr. and F. Wilczek, On geometric entropy 1994 Phys. Lett. B 333 55 [hep-th/9401072]
22. D. Kabat, Black hole entropy and entropy of entanglement 1995 Nucl. Phys. B 453 281 [hep-th/9503016]
23. F. Larsen and F. Wilczek, Renormalization of black hole entropy and of the gravitational coupling constant 1996 Nucl. Phys. B 458 249 [hep-th/9506066]
24. V.P. Frolov and D.V. Fursaev, Thermal fields, entropy and black holes 1998 Class. Quantum Grav. 15 2041 [hep-th/9802010]
25. T. Jacobson, Black hole entropy and induced gravity [gr-qc/9404039]
26. W. Israel, Thermo field dynamics of black holes 1976 Phys. Lett. A 57 107
27. D. Kabat and M.J. Strassler, A comment on entropy and area 1994 Phys. Lett. B 329 46 [hep-th/9401125]
28. T. Jacobson, A note on hartle-Hawking vacua 1994 Phys. Rev. D 50 6031 [gr-qc/9407022]
29. K.S. Thorne, R.H. Price and D.A. Macdonald, Black Holes: The Membrane Paradigm Yale University Press, 1986
30. E. Schmidt, 1907 Math. Ann. 63 433. For a more modern discussion, see, e.g. M. A. Nielsen and I. L. Chuang, Quantum computation and quantum information 2000 (Cambridge University Press, Cambridge), Chapter 2.5.
31. R.P. Feynman, Statistical mechanics: a set of lectures Perseues Publishing, 1998
32. Y. Takahashi and H. Umezawa, Thermo field dynamics 1975 Collective phenomenon 2 55
33. S.P. de Alwis and N. Ohta, On the entropy of quantum fields in black hole backgrounds [hep-th/9412027]
34. S.P. de Alwis and N. Ohta, Thermodynamics of quantum fields in black hole backgrounds 1995 Phys. Rev. D 52 3529 [hep-th/9504033]
35. G. 't Hooft, On the quantum structure of a black hole 1985 Nucl. Phys. B 256 727
36. A. Giveon, A. Konechny, E. Rabinovici and A. Sever, On thermodynamical properties of some coset CFT backgrounds 2004 J. High Energy Phys. JHEP07(2004)076 [hep-th/0406131]
37. M. Bãados, M. Henneaux, C. Teitelboim and J. Zanelli, Geometry of the (2+1) black hole 1993 Phys. Rev. D 48 1506 [gr-qc/9302012]
38. P.K. Townsend, Black holes [gr-qc/9707012]
39. R. Brustein, D. Eichler, S. Foffa and D.H. Oaknin, The shortest scale of quantum field theory 2002 Phys. Rev. D 65 105013 [hep-th/0009063]
40. J.D. Bekenstein, 1989 Int. J. Theor. Phys. 28 967
41. R. Brustein, The generalized second law of thermodynamics in cosmology 2000 Phys. Rev. Lett. 84 2072 [gr-qc/9904061]
42. R. Brustein, S. Foffa and R. Sturani, Generalized second law in string cosmology 2000 Phys. Lett. B 471 352 [hep-th/9907032]
43. R. Brustein, S. Foffa and G. Veneziano, CFT, holography and causal entropy bound 2001 Phys. Lett. B 507 270 [hep-th/0101083]
44. S. Hawking, J.M. Maldacena and A. Strominger, Desitter entropy, quantum entanglement and AdS/CFT 2001 J. High Energy Phys. JHEP05(2001)001 [hep-th/0002145]
45. R. Brustein, D. Eichler and S. Foffa, A braneworld puzzle about entropy bounds and a maximal temperature 2005 Phys. Rev. D 71 124015 [hep-th/0404230]
46. J.L.F. Barbon and E. Rabinovici, Very long time scales and black hole thermal equilibrium 2003 J. High Energy Phys. JHEP11(2003)047 [hep-th/0308063]
47. M. Kleban, M. Porrati and R. Rabadn, Poincaré recurrences and topological diversity 2004 J. High Energy Phys. JHEP10(2004)030 [hep-th/0407192]
48. E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories 1998 Adv. Theor. Math. Phys. 2 505 [hep-th/9803131]
49. M. Srednicki, Entropy and area 1993 Phys. Rev. Lett. 71 666 [hep-th/9303048]
50. C. Holzhey, F. Larsen and F. Wilczek, Geometric and renormalized entropy in conformal field theory 1994 Nucl. Phys. B 424 443 [hep-th/9403108]
51. H. Casini, Geometric entropy, area and strong subadditivity 2004 Class. Quantum Grav. 21 2351 [hep-th/0312238]
52. A. Yarom and R. Brustein, Area-scaling of quantum fluctuations 2005 Nucl. Phys. B 709 391 [hep-th/0401081]
53. M. Cramer, J. Eisert, M.B. Plenio and J. Dreissig, An entanglement-area law for general bosonic harmonic lattice systems [quant-ph/0505092]
54. R. Brustein, M. Einhorn and A. Yarom, to appear