Exploring de Sitter space and holography

Annals of Physics

Volumn 303, Issue 1, 2003, Pages 59-116

  Balasubramanian, Vijay ^a   de Boer, Jan ^b   Minic, Djordje ^c  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

^b UNIVERSITY OF AMSTERDAM   (Netherlands)

^c VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037268024     PISSN: 00034916     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0003-4916(02)00020-9     Document Type: Article

References (141)

1. C.M. Hull, Timelike T-duality, de Sitter space, large N gauge theories and topological field theory, JHEP 9807 (1998) 021 [hep-th/9806146];
2. C.M. Hull, Duality and the signature of space-time, JHEP 9811 (1998) 017 [hep-th/9807127].
3. V. Balasubramanian, P. Horava, D. Minic, Deconstructing de sitter, JHEP 0105 (2001) 043 [hep-th/0103171].
4. E. Witten, Quantum gravity in de Sitter space [arXiv:hep-th/0106109].
5. A. Strominger, The dS/CFT correspondence, JHEP 0110 (2001) 034 [arXiv:hep-th/0106113].
6. D. Klemm, Some aspects of the de Sitter/CFT correspondence, Nucl. Phys. B 625 (2002) 295 [arXiv:hep-th/0106247].
7. V. Balasubramanian, J. de Boer, D. Minic, Mass, entropy and holography in asymptotically de Sitter spaces, Phys. Rev. D 65 (2002) 123508 [arXiv:hep-th/0110108].
8. R. Bousso, A. Maloney, A. Strominger, Conformal vacua and entropy in de Sitter space, Phys. Rev. D 65 (2002) 104039 [arXiv:hep-th/0112218].
9. A.M. Ghezelbash, R.B. Mann, Action mass, and entropy of Schwarzschild-de Sitter black holes and the de Sitter/CFT correspondence, JHEP 0201 (2002) 005 [arXiv:hep-th/0111217].
10. R.G. Cai, Y.S. Myung, Y.Z. Zhang, Check of the mass bound conjecture in de Sitter space, Phys. Rev. D 65 (2002) 084019 [arXiv:hep-th/0110234];
11. U.H. Danielsson, A black hole hologram in de Sitter space, JHEP 0203 (2002) 020 [arXiv:hep-th/0110265].
12. J.D. Brown, M. Henneaux, Central charges in the canonical realization of asymptotic symmetries: an example from three-dimensional gravity, Commun. Math. Phys. 104 (1986) 207.
13. C. Fefferman, C.R. Graham, Conformal invariants, Asterisque (1985) 95.
14. M. Henningson, K. Skenderis, The holographic Weyl anomaly, JHEP 9807 (1998) 023 [arXiv:hep-th/9806087];
15. S. de Hato, S.N. Solodukhin, K. Skenderis, Holographic reconstruction of spacetime and renormalization in the AdS/CFT correspondence, Commun. Math. Phys. 217 (2001) 595 [arXiv:hep-th/0002230];
16. K. Skenderis, Asymptotically anti-de Sitter spacetimes and their stress energy tensor, Int. J. Mod. Phys. A 16 (2001) 740 [arXiv:hep-th/0010138].
17. J.D. Brown, J.W. York, Quasilocal energy and conserved charges derived from the gravitational action, Phys. Rev. D 47 (1993) 1407.
18. V. Balasubramanian, P. Kraus, A stress tensor for anti-de Sitter gravity, Commun. Math. Phys. 208 (1999) 413 [arXiv:hep-th/9902121].
19. P.O. Mazur, E. Mottola, Weyl cohomology and the effective action for conformal anomalies, Phys. Rev. D 64 (2001) 104022 [arXiv:hep-th/0106151].
20. S. Nojiri, S.D. Odintsov, Conformal anomaly from dS/CFT correspondence, Phys. Lett. B 519 (2001) 145 [arXiv:hep-th/0106191];
21. S. Nojiri, S.D. Odintsov, Quantum cosmology, inflationary brane-world creation anddS/CFT correspondence, JHEP 0112 (2001) 033 [arXiv:hep-th/0107134].
22. C.M. Hull, R.R. Khuri, Branes, times and dualities, Nucl. Phys. B 536 (1998) 219 [hep-th/9808069];
23. C.M. Hull, R.R. Khuri, Worldvolume theories, holography, duality and time, Nucl. Phys. B 575 (2000) 231 [hep-th/9911082].
24. A. Chamblin, N.D. Lambert, de Sitter space from M theory? [hep-th/0102159];
25. P.S. Howe, N.D. Lambert, P.C. West, A new massive type IIA supergravity from compactification, Phys. Lett. B 416 (1998) 303 [hep-th/9707139].
26. E. Silverstein, (A)dS backgrounds from asymmetric orientifolds [arXiv:hep-th/0106209].
27. A. Maloney, E. Silverstein, A. Strominger, De Sitter space in noncritical string theory [arXiv:hep-th/0205316].
28. J.M. Maldacena, C. Nunez, Supergravity description of field theories on curved manifolds and a no go theorem, Int. J. Mod. Phys. A 16 (2001) 822 [arXiv:hep-th/0007018].
29. K. Bautier, S. Deser, M. Henneaux, D. Seminara, No cosmological D = 11 supergravity, Phys. Lett. B 406 (1997) 49 [arXiv:hep-th/9704131].
30. K. Pilch, P. van Nieuwenhuizen, M.F. Sohnius, De sitter superalgebras and supergravity, Commun. Math. Phys. 98 (1985) 105.
31. C.M. Hull, N.P. Warner, Noncompact gaugings from higher dimensions, Class. Quant. Grav. 5 (1988) 1517.
32. C.M. Hull, A new gauging of N = 8 supergravity, Phys. Rev. D 30 (1984) 760;
33. C.M. Hull, Noncompact gaugings of N = 8 supergravity, Phys. Lett. B 142 (1984) 39;
34. C.M. Hull, The minimal couplings and scalar potentials of the gauged N = 8 supergravities, Class. Quant. Grav. 2 (1985) 343.
35. 26 S.J. Gates, B. Zwiebach, Searching for all N = 4 supergravities with global SO(4), Nucl. Phys. B 238 (1984) 99;
36. S.J. Gates, B. Zwiebach, Gauged N = 4 supergravity theory with a new scalar potential, Phys. Lett. B 123 (1983) 200;
37. B.B. Deo, S.J. Gates, Nonminimal N = 1 supergravity and broken global supersymmetry, Phys. Lett. B 151 (1985) 195.
38. M. Gunaydin, L.J. Romans, N.P. Warner, Gauged N = 8 supergravity in five-dimensions, Phys. Lett. B 154 (1985) 268;
39. M. Gunaydin, L.J. Romans, N.P. Warner, Compact and noncompact gauged supergravity theories in five-dimensions, Nucl. Phys. B 272 (1986) 598;
40. M. Pernici, K. Pilch, P. van Nieuwenhuizen, Gauged N = 8 D = 5 supergravity, Nucl. Phys. B 259 (1985) 460.
41. H. Nicolai, C. Wetterich, On the spectrum of Kaluza-Klein theories with noncompact internal spaces, Phys. Lett. B 150 (1985) 347.
42. R. Kallosh, N = 2 supersymmetry and de sitter space [hep-th/0109168];
43. C.M. Hull, de Sitter space in supergravity and M theory, JHEP 0111 (2001) 012[arXiv:hep-th/0109213];
44. R. Kallosh, A.D. Linde, S. Prokushkin, M. Shmakova, Gauged supergravities, de Sitter space and cosmology, Phys. Rev. D 65 (2002) 105016 [arXiv:hep-th/0110089].
45. P. Fre, M. Trigiante, A. van Proeyen, Stable de Sitter vacua from N = 2 supergravity [arXiv:hep-th/0205119].
46. P. Berglund, T. Hubsch, D. Minic, Relating the cosmological constant and supersymmetry breaking in warped compactifications of IIB string theory [arXiv:hep-th/0201187];
47. P. Berglund, T. Hubsch, D. Minic, de Sitter spacetimes from warped compactifications of IIB string theory, Phys. Lett. B 534 (2002) 147 [arXiv:hep-th/0112079].
48. M. Gutperle, A. Strominger, Spacelike branes. JHEP 0204 (2002) 018 [arXiv:hep-th/0202210];
49. M. Kruczenski, R.C. Myers, A.W. Peet, Supergravity S-branes, JHEP 0205 (2002) 039 [arXiv:hep-th/0204144].
50. Among other references see: V. Balasubramanian, S.F. Hassan, E. Keski-Vakkuri, A. Naqvi, A space-time orbifold: a toy model for a cosmological singularity [arXiv:hep-th/0202187];
51. N.A. Nekrasov, Milne universe, tachyons, and quantum group [arXiv:hep-th/0203112];
52. J. Simon, The geometry of null rotation identifications, JHEP 0206 (2002) 001 [arXiv:hep-th/0203201]L.
53. Cornalba, M.S. Costa, A new cosmological scenario in string theory [arXiv:hep-th/0203031];
54. H. Liu, G. Moore, N. Seiberg, Strings in a time-dependent orbifold, JHEP 0206 (2002) 045 (arXiv:hep-th/0204168];
55. G.T. Horowitz, J. Polchinski, Instability of spacelike and null orbifold singularities [arXiv:hep-th/0206228].
56. A. Sen, Rolling tachyon, JHEP 0204 (2002) 048 [arXiv:hep-th/0203211];
57. A. Sen, Tachyon matter [arXiv:hep-th/0203265];
58. A. Sen, Time evolution in open string theory [arXiv:hep-th/0207105].
59. J. Maldacena, The large N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200].
60. E. Witten, Anti de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150];
61. S.S. Gubser, I.R. Klebanov, A.M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109].
62. V. Balasubramanian, P. Kraus, A.E. Lawrence, Bulk vs. boundary dynamics in anti-de Sitter spacetime, Phys. Rev. D 59 (1999) 046003 [arXiv:hep-th/9805171];
63. V. Balasubramanian, S.B. Giddings, A.E. Lawrence, What do CFTs tell us about anti-de Sitter spacetimes? JHEP 9903 (1999) 001 [arXiv:hep-th/9902052].
64. V. Balasubramanian, P. Kraus, A.E. Lawrence, S.P. Trivedi, Holographic probes of anti-de Sitter space-times, Phys. Rev. D 59 (1999) 104021 [arXiv:hep-th/9808017].
65. H. Boschi-Filho, N.R. Braga, Quantum fields in anti de Sitter spacetime and degrees of freedom in the bulk/boundary correspondence, Phys. Lett. B 505 (2001) 263 [arXiv:hep-th/0009039].
66. R. Bousso, Holography in general space-times, JHEP 9906 (1999) 028 [arXiv:hep-th/9906022];
67. R. Bousso, The holographic principle for general backgrounds, Class. Quant. Grav. 17 (2000) 997 [arXiv:hep-th/9911002].
68. Consult for example, B. Allen, Phys. Rev. D. 32 (1985) 3136;
69. B. Allen, T. Jacobson, Commun. Math. Phys. 103 (1986) 669;
70. C.J.C. Burges, Nucl. Phys.B. 247 (1984) 533;
71. B. Ratra, Phys. Rev. D 31 (1985) 1931;
72. R. Laflamme, Phys. Lett. B 198 (1987) 156;
73. T.S. Bunch, P.C.W. Davies, Proc. R. Soc. Lond. A 360 (1978) 117;
74. J.S. Dowker, R. Critchley, Phys. Rev. D 13 (1976) 224;
75. P. Candelas, D.J. Raine, Phys. Rev. D 12 (1975) 965;
76. N.A. Chernikov, E.A. Tagirov, Ann. Inst. Henri Poincare A 9 (1968) 109;
77. E.A. Tagirov, Ann. Phys. 76 (1973) 561;
78. C. Schomblond, P. Spindel, Ann. Inst. Henri Poincare A 25 (1976) 67;
79. E. Mottola, Phys. Rev. D 31 (1985) 754;
80. A.S. Lapedes, J. Math. Phys. 19 (1978) 2289;
81. D. Lohya, N. Panchapakesan, J. Phys. A 11 (1978) 1963;
82. E. Mottola, Phys. Rev. D 31 (1985) 754.
83. M. Spradlin, A. Volovich, Vacuum states and the S-matrix in dS/CFT, Phys. Rev. D 65 (2002) 104037 [arXiv:hep-th/0112223].
84. P. Breitenlohner, D.Z. Freedman, Positive energy in anti-de Sitter backgrounds and gauged extended supergravity, Phys. Lett. B 115 (1982) 197.
85. J. Polchinski, S-matrices from AdS spacetime [arXiv:hep-th/9901076];
86. V. Balasubramanian, S.B. Giddings, A.E. Lawrence, What do CFTs tell us about anti-de Sitter spacetimes?, JHEP 9903 (1999) 001 [hep-th/9902052];
87. S.B. Giddings, The boundary S-matrix and the AdS to CFT dictionary, Phys. Rev. Lett. 83 (1999) 2707 [arXiv:hep-th/9903048].
88. I.M. Gelfand, Graev, Vilenkin, Generalized Functions, vol. 5, Academic Press, New York, 1968.
89. J. Teschner, On structure constants and fusion rules in the SL(2, C)/SU(2) WZNW model, Nucl. Phys. B 546 (1999) 390 [arXiv:hep-th/9712256].
90. J. de Boer, Large N elliptic genus and AdS/CFT correspondence, JHEP 9905 (1999) 017 [arXiv:hep-th/9812240].
91. For a review consult for example, S. Helgason, The Radon Transform, Birkäuser, Basel, 1999 (Chapter 3).
92. A. Sever, A. Shomer, A note on multi-trace deformations and AdS/CFT [arXiv:hep-th/0203168].
93. K. Skenderis, S.N. Solodukhin, Quantum effective action from the AdS/CFT correspondence, Phys. Lett. B 472 (2000) 316 [arXiv:hep-th/9910023].
94. M. Rooman, P. Spindel, Holonomies, anomalies and the Fefferman-Graham ambiguity in AdS(3) gravity, Nucl. Phys. B 594 (2001) 329 [arXiv:hep-th/0008147];
95. Uniqueness of the asymptotic AdS(3) geometry, Class. Quant. Grav. 18 (2001) 2117 [arXiv:gr-qc/0011005].
96. K. Krasnov, On holomorphic factorization in asymptotically AdS 3D gravity [arXiv:hep-th/0109198];
97. K. Krasnov, Analytic continuation for asymptotically AdS 3D gravity [arXiv:gr-qc/0111049].
98. J. Fjelstad, S. Hwang, T. Mansson, CFT description of three-dimensional Kerr-de Sitter spacetime [arXiv:hep-th/0206113].
99. E. Witten, S.T. Yau, Connectedness of the boundary in the AdS/CFT correspondence, Adv. Theor. Math. Phys. 3 (1999) 1635 [arXiv:hep-th/9910245].
100. Per Kraus, Finn Larsen, Ruud Siebelink, The gravitational action in asymptotically AdS and flat space-times, Nucl. Phys. B 563 (1999) 259 [hep-th/9906127].
101. S. Cacciatori, D. Klemm, The asymptotic dynamics of de Sitter gravity in three dimensions [arXiv:hep-th/0110031].
102. T. Banks, Cosmological breaking of supersymmetry or little Lambda goes back to the future II [hep-th/0007146];
103. W. Fischler, unpublished;
104. T. Banks, W. Fischler, M-theory observables for cosmological space-times [arXiv:hep-th/0102077].
105. G.W. Gibbons, S.W. Hawking, Cosmological event horizons, thermodynamics, and particle creation, Phys. Rev. D 15 (1977) 2738;
106. G.W. Gibbons, S.W. Hawking, Action integrals and partition functions in quantum gravity, Phys. Rev. D 15 (1977) 2752.
107. J.D. Bekenstein, Black holes and entropy, Phys. Rev. D 7 (1973) 2333;
108. S.W. Hawking, Particle creation by black holes, Commun. Math. Phys. 43 (1975) 199.
109. R. Figari, R. Hoegh-Krohn, C.R. Nappi, Interacting relativistic boson fields in the de sitter universe with two space-time dimensions, Commun. Math. Phys. 44 (1975) 265.
110. M. Banados, T. Brotz, M.E. Ortiz, Boundary dynamics and the statistical mechanics of the 2 + 1 dimensional black hole, Nucl. Phys. B 545 (1999) 340 [arXiv:hep-th/9802076];
111. See also, Quantum three-dimensional de Sitter space, Phys. Rev. D 59 (1999) 046002 [hep-th/9807216].
112. E. Witten, Quantization of Chern-Simons gauge theory with complex gauge group, Commun. Math. Phys. 137 (1991) 29.
113. T.R. Govindarajan, R.K. Kaul, V. Suneeta, Quantum gravity on dS(3), Class. Quant. Grav. 19 (2002) 4195 [arXiv:hep-th/0203219].
114. O. Coussaert, M. Henneaux, P. van Driel, The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant, Class. Quant. Grav. 12 (1995) 2961 [arXiv:gr-qc/9506019].
115. S. Deser, R. Jackiw, Three-dimensional cosmological gravity: dynamics of constant curvature, Ann. Phys. 153 (1984) 405.
116. Mu-In Park, Statistical entropy of three-dimensional Kerr-De sitter space, Phys. Lett. B 440 (1998) 275 [hep-th/9806119].
117. Maximo Banados, Claudio Teitelboim, Jorge Zanelli, The black hole in three-dimensional space-time, Phys. Rev. Lett. (1992) 1849 [hep-th/9204099].
118. E. Witten, Quantum field theory and the Jones polynomial, Commun. Math. Phys. 121 (1989) 351.
119. See for example, S. Elitzur, G.W. Moore, A. Schwimmer, N. Seiberg, Remarks on the canonical quantization of the Chern-Simons-Witten theory, Nucl. Phys. B 326 (1989) 108;
120. M. Bos, V.P. Nair, Coherent state quantization of Chern-Simons theory, Int. J. Mod. Phys. A 5 (1990) 959.
121. J. Maldacena, A. Strominger, Statistical entropy of de Sitter space, JHEP 9802 (1998) 014 [gr-qc/9801096].
122. S. Carlip, The statistical mechanics of the (2 + 1)-dimensional black hole, Phys. Rev. D 51 (1995) 632 [gr-qc/9409052];
123. F. Lin, Y. Wu, Near-horizon Virasoro symmetry and the entropy of de Sitter space in any dimension, Phys. Rev. D 453 (1999) 222 [hep-th/9901147].
124. P. Ginsparg, G.W. Moore, Lectures on 2-D gravity and 2-D string theory [arXiv:hep-th/9304011].
125. E. Schrodinger, Expanding Universes, Cambridge University Press, Cambridge, MA, 1956;
126. Also see G.W. Gibbons, The elliptic interpretation of black holes and quantum mechanics, Nucl. Phys. B 271 (1986) 497.
127. M.K. Parikh, I. Savonije, E. Verlinde, Elliptic de Sitter space: dS/Z (2) [arXiv:hep-th/0209120].
128. K. Gawedzki, Noncompact WZW conformal field theories [arXiv:hep-th/9110076].
129. S. Bal, K.V. Shajesh, D. Basu, A unified treatment of the characters of SU(2) and SU(1, 1), J. Math. Phys. 38 (1997) 3209 [arXiv:hep-th/9611236].
130. M.A. Naimark, Linear representatives of the Lorentz group, in: International Series of Monographs on Pure and Applied Mathematics, vol. 63, Macmillan, New York, 1964, p. 171.
131. J.M. Maldacena, Eternal black holes in anti-de Sitter [arXiv:hep-th/0106112].
132. G. 'tHooft, Ambiguity of the equivalence principle and Hawking's temperature, J. Geom. Phys. 1 (1989) 45-52.
133. L. Susskind, L. Thorlacius, J. Uglum, The stretched horizon and black hole complementarity, Phys. Rev. D 48 (1993) 3743 [arXiv:hep-th/9306069].
134. A. Strominger, Inflation and the dS/CFT correspondence, JHEP 0111 (2001) 049 [arXiv:hep-th/0110087].
135. F. Leblond, D. Marolf, R.C. Myers, Tall tales from de Sitter space. I: Renormalization group flows, JHEP 0206 (2002) 052 [arXiv:hep-th/0202094];
136. F. Larsen, J.P. van der Schaar, R.G. Leigh, de Sitter holography and the cosmic microwave background, JHEP 0204 (2002) 047 [arXiv:hep-th/0202127];
137. R. Argurio, Comments on cosmological RG flows [arXiv:hep-th/0202183];
138. K.R. Kristjansson, L. Thorlacius, Cosmological models and renormalization group flow, JHEP 0205 (2002) 011 [arXiv:hep-th/0204058].
139. M.R. Gaberdiel, A. Recknagel, Conformal boundary states for free bosons and fermions, JHEP 0111 (2001) 016 [arXiv:hep-th/0108238];
140. R.A. Janik, Exceptional boundary states at c = 1, Nucl. Phys. B 618 (2001) 675 [arXiv:hep-th/0109021].
141. L. Dyson, J. Lindesay, L. Susskind, Is there really a de Sitter/CFT duality [arXiv:hep-th/0202163].