Quantum resolution of cosmological singularities using AdS/CFT correspondence

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 86, Issue 4, 2012, Pages

  Craps, Ben ^a,b   Hertog, Thomas ^b,c   Turok, Neil ^d,e  

^a VRIJE UNIVERSITEIT BRUSSEL   (Belgium)

^b INTERNATIONAL SOLVAY INSTITUTES   (Belgium)

^c UNIVERSITY OF LEUVEN   (Belgium)

^d PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

^e AFRICAN INSTITUTE FOR MATHEMATICAL SCIENCES   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84865076470     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.86.043513     Document Type: Article

References (105)

1. J.B. Hartle and S.W. Hawking, Phys. Rev. D PRVDAQ 0556-2821 28, 2960 (1983). 10.1103/PhysRevD.28.2960
2. M. Gasperini and G. Veneziano, Astropart. Phys. 1, 317 (1993). APHYEE 0927-6505 10.1016/0927-6505(93)90017-8
3. J. Khoury, B.A. Ovrut, P.J. Steinhardt, and N. Turok, Phys. Rev. D PRVDAQ 0556-2821 64, 123522 (2001). 10.1103/PhysRevD.64.123522
4. J. Khoury, B.A. Ovrut, N. Seiberg, P.J. Steinhardt, and N. Turok, Phys. Rev. D PRVDAQ 0556-2821 65, 086007 (2002). 10.1103/PhysRevD.65.086007
5. A.H. Guth, Phys. Rev. D PRVDAQ 0556-2821 23, 347 (1981); 10.1103/PhysRevD.23.347
6. A.D. Linde, Phys. Lett. 108B, 389 (1982); PYLBAJ 0370-2693 10.1016/0370-2693(82)91219-9
7. A. Albrecht and P.J. Steinhardt, Phys. Rev. Lett. 48, 1220 (1982). PRLTAO 0031-9007 10.1103/PhysRevLett.48.1220
8. P.J. Steinhardt and N. Turok, Phys. Rev. D PRVDAQ 0556-2821 65, 126003 (2002); 10.1103/PhysRevD.65.126003
9. J.K. Erickson, S. Gratton, P.J. Steinhardt, and N. Turok, Phys. Rev. D PRVDAQ 1550-7998 75, 123507 (2007). 10.1103/PhysRevD.75.123507
10. J.L. Lehners, P. McFadden, N. Turok, and P.J. Steinhardt, Phys. Rev. D PRVDAQ 1550-7998 76, 103501 (2007); 10.1103/PhysRevD.76.103501
11. E.I. Buchbinder, J. Khoury, and B.A. Ovrut, Phys. Rev. D PRVDAQ 1550-7998 76, 123503 (2007); 10.1103/PhysRevD.76.123503
12. E.I. Buchbinder J. Khoury B.A. Ovrut J. High Energy Phys. JHEPFG 1029-8479 11 (2007) 076; 10.1088/1126-6708/2007/11/076
13. E.I. Buchbinder J. Khoury B.A. Ovrut Phys. Rev. Lett. PRLTAO 0031-9007 100, 171302 (2008); 10.1103/PhysRevLett.100.171302
14. P. Creminelli and L. Senatore, J. Cosmol. Astropart. Phys. JCAPBP 1475-7516 11 (2007) 010; 10.1088/1475-7516/2007/11/010
15. K. Koyama and D. Wands, J. Cosmol. Astropart. Phys. JCAPBP 1475-7516 04 (2007) 008; 10.1088/1475-7516/2007/04/008
16. A.J. Tolley and D.H. Wesley, J. Cosmol. Astropart. Phys. JCAPBP 1475-7516 05 (2007) 006; 10.1088/1475-7516/2007/05/006
17. K. Koyama, S. Mizuno, and D. Wands, Classical Quantum Gravity CQGRDG 0264-9381 24, 3919 (2007); 10.1088/0264-9381/24/15/010
18. K. Koyama, S. Mizuno, F. Vernizzi, and D. Wands, J. Cosmol. Astropart. Phys. JCAPBP 1475-7516 11 (2007) 024; 10.1088/1475-7516/2007/11/024
19. J.L. Lehners and P.J. Steinhardt, Phys. Rev. D PRVDAQ 1550-7998 77, 063533 (2008); 10.1103/PhysRevD.77.063533
20. J.L. Lehners P.J. Steinhardt Phys. Rev. D PRVDAQ 1550-7998 79, 129903(E) (2009). 10.1103/PhysRevD.79.129903
21. P.J. Steinhardt and N. Turok, Science 312, 1180 (2006). SCIEAS 0036-8075 10.1126/science.1126231
22. J.M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998); 1095-0761
23. J.M. Maldacena Int. J. Theor. Phys. 38, 1113 (1999). IJTPBM 0020-7748 10.1023/A:1026654312961
24. T. Hertog and G.T. Horowitz, J. High Energy Phys. JHEPFG 1029-8479 07 (2004) 073. 10.1088/1126-6708/2004/07/073
25. T. Hertog and G.T. Horowitz, J. High Energy Phys. JHEPFG 1029-8479 04 (2005) 005. 10.1088/1126-6708/2005/04/005
26. O. Aharony, M. Berkooz, and E. Silverstein, J. High Energy Phys. JHEPFG 1029-8479 08 (2001) 006. 10.1088/1126-6708/2001/08/006
27. O. Aharony, O. Bergman, D.L. Jafferis, and J. Maldacena, J. High Energy Phys. JHEPFG 1029-8479 10 (2008) 091. 10.1088/1126-6708/2008/10/091
28. B. Craps, T. Hertog, and N. Turok, Phys. Rev. D PRVDAQ 1550-7998 80, 086007 (2009). 10.1103/PhysRevD.80.086007
29. E. Witten, arXiv:hep-th/0112258.
30. M. Reed and B. Simon, Methods of Modern Mathematical Physics. 2. Fourier Analysis, Selfadjointness (Elsevier, New York, 1975), p. 361.
31. M. Carreau, E. Fahri, S. Gutmann, and P.F. Mende, Ann. Phys. (N.Y.) APNYA6 0003-4916 204, 186 (1990). 10.1016/0003-4916(90)90125-8
32. L. Cornalba and M.S. Costa, Phys. Rev. D PRVDAQ 0556-2821 66, 066001 (2002); 10.1103/PhysRevD.66.066001
33. N.A. Nekrasov, Surv. High Energy Phys. SHEPDB 0142-2413 17, 115 (2002); 10.1080/0142241021000054176
34. H. Liu, G.W. Moore, and N. Seiberg, J. High Energy Phys. JHEPFG 1029-8479 06 (2002) 045; 10.1088/1126-6708/2002/06/045
35. H. Liu G.W. Moore N. Seiberg J. High Energy Phys. JHEPFG 1029-8479 10 (2002) 031; 10.1088/1126-6708/2002/10/031
36. A. Lawrence, J. High Energy Phys. JHEPFG 1029-8479 11 (2002) 019; 10.1088/1126-6708/2002/11/019
37. G.T. Horowitz and J. Polchinski, Phys. Rev. D PRVDAQ 0556-2821 66, 103512 (2002); 10.1103/PhysRevD.66.103512
38. M. Berkooz, B. Craps, D. Kutasov, and G. Rajesh, J. High Energy Phys. JHEPFG 1029-8479 03 (2003) 031. 10.1088/1126-6708/2003/03/031
39. M. Berkooz, B. Pioline, and M. Rozali, J. Cosmol. Astropart. Phys. JCAPBP 1475-7516 08 (2004) 004. 10.1088/1475-7516/2004/08/004
40. J. McGreevy and E. Silverstein, J. High Energy Phys. JHEPFG 1029-8479 08 (2005) 090. 10.1088/1126-6708/2005/08/090
41. N. Turok, M. Perry, and P.J. Steinhardt, Phys. Rev. D PRVDAQ 1550-7998 70, 106004 (2004); 10.1103/PhysRevD.70.106004
42. N. Turok M. Perry P.J. Steinhardt Phys. Rev. D PRVDAQ 1550-7998 71, 029901(E) (2005); 10.1103/PhysRevD.71.029901
43. D.S. Berman and M.J. Perry, Phys. Lett. B 635, 131 (2006). PYLBAJ 0370-2693 10.1016/j.physletb.2006.02.038
44. G. Niz and N. Turok, Phys. Rev. D PRVDAQ 1550-7998 75, 126004 (2007). 10.1103/PhysRevD.75.126004
45. J.L. Karczmarek and A. Strominger, J. High Energy Phys. JHEPFG 1029-8479 04 (2004) 055; 10.1088/1126-6708/2004/04/055
46. S.R. Das and J.L. Karczmarek, Phys. Rev. D PRVDAQ 1550-7998 71, 086006 (2005). 10.1103/PhysRevD.71.086006
47. T. Banks, W. Fischler, S.H. Shenker, and L. Susskind, Phys. Rev. D PRVDAQ 0556-2821 55, 5112 (1997). 10.1103/PhysRevD.55.5112
48. B. Craps, S. Sethi, and E.P. Verlinde, J. High Energy Phys. JHEPFG 1029-8479 10 (2005) 005; 10.1088/1126-6708/2005/10/005
49. S.R. Das and J. Michelson, Phys. Rev. D PRVDAQ 1550-7998 73, 126006 (2006); 10.1103/PhysRevD.73.126006
50. B. Craps, A. Rajaraman, and S. Sethi, Phys. Rev. D PRVDAQ 1550-7998 73, 106005 (2006); 10.1103/PhysRevD.73.106005
51. E.J. Martinec, D. Robbins, and S. Sethi, J. High Energy Phys. JHEPFG 1029-8479 08 (2006) 025. 10.1088/1126-6708/2006/08/025
52. P. Kraus, H. Ooguri, and S. Shenker, Phys. Rev. D PRVDAQ 0556-2821 67, 124022 (2003); 10.1103/PhysRevD.67.124022
53. L. Fidkowski, V. Hubeny, M. Kleban, and S. Shenker, J. High Energy Phys. JHEPFG 1029-8479 02 (2004) 014; 10.1088/1126-6708/2004/02/014
54. G. Festuccia and H. Liu, J. High Energy Phys. JHEPFG 1029-8479 04 (2006) 044; 10.1088/1126-6708/2006/04/044
55. A. Hamilton, D. Kabat, G. Lifschytz, and D.A. Lowe, Phys. Rev. D PRVDAQ 1550-7998 75, 106001 (2007); 10.1103/PhysRevD.75.106001
56. A. Hamilton D. Kabat G. Lifschytz D.A. Lowe Phys. Rev. D PRVDAQ 1550-7998 75, 129902(E) (2007). 10.1103/PhysRevD.75.129902
57. M. Cvetic, S. Nojiri, and S.D. Odintsov, Phys. Rev. D PRVDAQ 0556-2821 69, 023513 (2004); 10.1103/PhysRevD.69.023513
58. C.S. Chu and P.M. Ho, J. High Energy Phys. JHEPFG 1029-8479 04 (2006) 013; 10.1088/1126-6708/2006/04/013
59. C.S. Chu P.M. Ho J. High Energy Phys. JHEPFG 1029-8479 02 (2008) 058; 10.1088/1126-6708/2008/02/058
60. S.R. Das, J. Michelson, K. Narayan, and S.P. Trivedi, Phys. Rev. D PRVDAQ 1550-7998 74, 026002 (2006); 10.1103/PhysRevD.74.026002
61. S.R. Das J. Michelson K. Narayan S.P. Trivedi Phys. Rev. D PRVDAQ 1550-7998 75, 026002 (2007); 10.1103/PhysRevD.75.026002
62. F.L. Lin and W.Y. Wen, J. High Energy Phys. JHEPFG 1029-8479 05 (2006) 013; 10.1088/1126-6708/2006/05/013
63. A. Awad, S.R. Das, K. Narayan, and S.P. Trivedi, Phys. Rev. D PRVDAQ 1550-7998 77, 046008 (2008). 10.1103/PhysRevD.77.046008
64. M. Gunaydin, L.J. Romans, and N.P. Warner, Phys. Lett. 154B, 268 (1985). PYLBAJ 0370-2693 10.1016/0370-2693(85)90361-2
65. M. Gunaydin, L.J. Romans, and N.P. Warner, Nucl. Phys. NUPBBO 0550-3213 B272, 598 (1986). 10.1016/0550-3213(86)90237-3
66. M. Pernici, K. Pilch and P. van Nieuwenhuizen, Nucl. Phys. NUPBBO 0550-3213 B259, 460 (1985). 10.1016/0550-3213(85)90645-5
67. D.Z. Freedman, S.S. Gubser, K. Pilch, and N.P. Warner, J. High Energy Phys. JHEPFG 1029-8479 07 (2000) 038. 10.1088/1126-6708/2000/07/038
68. P. Breitenlohner and D.Z. Freedman, Ann. Phys. (N.Y.) APNYA6 0003-4916 144, 249 (1982). 10.1016/0003-4916(82)90116-6
69. G.W. Gibbons, C.M. Hull, and N.P. Warner, Nucl. Phys. NUPBBO 0550-3213 B218, 173 (1983). 10.1016/0550-3213(83)90480-7
70. P.K. Townsend, Phys. Lett. 148B, 55 (1984). PYLBAJ 0370-2693 10.1016/0370-2693(84)91610-1
71. M. Henneaux, C. Martinez, R. Troncoso, and J. Zanelli, Ann. Phys. (N.Y.) APNYA6 0003-4916 322, 824 (2007). 10.1016/j.aop.2006.05.002
72. T. Hertog and G.T. Horowitz, Phys. Rev. Lett. 94, 221301 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.221301
73. T. Hertog and K. Maeda, J. High Energy Phys. JHEPFG 1029-8479 07 (2004) 051. 10.1088/1126-6708/2004/07/051
74. M. Henneaux, C. Martinez, R. Troncoso, and J. Zanelli, Phys. Rev. D PRVDAQ 1550-7998 70, 044034 (2004). 10.1103/PhysRevD.70.044034
75. T. Hertog and S. Hollands, Classical Quantum Gravity CQGRDG 0264-9381 22, 5323 (2005); 10.1088/0264-9381/22/24/007
76. A.J. Amsel and D. Marolf, Phys. Rev. D PRVDAQ 1550-7998 74, 064006 (2006); 10.1103/PhysRevD.74.064006
77. A.J. Amsel D. Marolf Phys. Rev. D PRVDAQ 1550-7998 75, 029901 (2007); 10.1103/PhysRevD.75.029901
78. A.J. Amsel, T. Hertog, S. Hollands, and D. Marolf, Phys. Rev. D PRVDAQ 1550-7998 75, 084008 (2007). 10.1103/PhysRevD.75.084008
79. S. de Haro, I. Papadimitriou, and A. Petkou, Phys. Rev. Lett. 98, 231601 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.231601
80. S.R. Coleman and F. De Luccia, Phys. Rev. D PRVDAQ 0556-2821 21, 3305 (1980). 10.1103/PhysRevD.21.3305
81. M. Cvetic, H. Lu, C.N. Pope, A. Sadrzadeh, and T.A. Tran, Nucl. Phys. NUPBBO 0550-3213 B586, 275 (2000). 10.1016/S0550-3213(00)00372-2
82. A.A. Tseytlin and C. Vafa, Nucl. Phys. NUPBBO 0550-3213 B372, 443 (1992). 10.1016/0550-3213(92)90327-8
83. M. Bianchi, D.Z. Freedman, and K. Skenderis, J. High Energy Phys. JHEPFG 1029-8479 08 (2001) 041; 10.1088/1126-6708/2001/08/041
84. M. Bianchi D.Z. Freedman K. Skenderis Nucl. Phys. NUPBBO 0550-3213 B631, 159 (2002). 10.1016/S0550-3213(02)00179-7
85. V. Balasubramanian, P. Kraus, and A.E. Lawrence, Phys. Rev. D PRVDAQ 0556-2821 59, 046003 (1999). 10.1103/PhysRevD.59.046003
86. M. Berkooz, A. Sever, and A. Shomer, J. High Energy Phys. JHEPFG 1029-8479 05 (2002) 034. 10.1088/1126-6708/2002/05/034
87. S. Elitzur, A. Giveon, M. Porrati, and E. Rabinovici, J. High Energy Phys. JHEPFG 1029-8479 02 (2006) 006. 10.1088/1126-6708/2006/02/006
88. T. Banks and W. Fischler, arXiv:hep-th/0606260.
89. S.R. Coleman and E. Weinberg, Phys. Rev. D PRVDAQ 0556-2821 7, 1888 (1973). 10.1103/PhysRevD.7.1888
90. M. Banados, A. Schwimmer, and S. Theisen, J. High Energy Phys. JHEPFG 1029-8479 09 (2006) 058. 10.1088/1126-6708/2006/09/058
91. J. Polchinski, L. Susskind, and N. Toumbas, Phys. Rev. D PRVDAQ 0556-2821 60, 084006 (1999). 10.1103/PhysRevD.60.084006
92. L. Susskind and E. Witten, arXiv:hep-th/9805114.
93. S. Fredenhagen and V. Schomerus, J. High Energy Phys. JHEPFG 1029-8479 12 (2003) 003. 10.1088/1126-6708/2003/12/003
94. C.M. Bender and S. Boettcher, Phys. Rev. Lett. 80, 5243 (1998); PRLTAO 0031-9007 10.1103/PhysRevLett.80.5243
95. C.M. Bender, D.C. Brody, and H.F. Jones, Phys. Rev. Lett. 89, 270401 (2002); PRLTAO 0031-9007 10.1103/PhysRevLett.89.270401
96. C.M. Bender D.C. Brody H.F. Jones Phys. Rev. Lett. 92, 119902(E) (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.119902
97. L.D. Fadeev and A.A. Slavnov, Gauge Fields, Introduction to Quantum Theory, Frontiers in Physics Lecture Notes Series 50 (Benjamin Cummings, New York, 1980).
98. B. Ratra, Phys. Rev. D PRVDAQ 0556-2821 31, 1931 (1985). 10.1103/PhysRevD.31.1931
99. R.D. Ball, Phys. Rep. PRPLCM 0370-1573 182, 1 (1989). 10.1016/0370-1573(89)90027-6
100. A.J. Tolley and N. Turok, Phys. Rev. D PRVDAQ 0556-2821 66, 106005 (2002). 10.1103/PhysRevD.66.106005
101. I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series, and Products (Academic Press, New York, 1994).
102. M.E. Peskin and D.V. Schroeder, An Introduction to Quantum Field Theory (Addison-Wesley, Reading, Mass., 1995), p. 842.
103. E.J. Weinberg and A. Wu, Phys. Rev. D PRVDAQ 0556-2821 36, 2474 (1987). 10.1103/PhysRevD.36.2474
104. S.R. Coleman and R. Jackiw, Ann. Phys. (N.Y.) APNYA6 0003-4916 67, 552 (1971). 10.1016/0003-4916(71)90153-9
105. A. Hamilton, D. Kabat, G. Lifschytz, and D.A. Lowe, Phys. Rev. D PRVDAQ 1550-7998 74, 066009 (2006). 10.1103/PhysRevD.74.066009