On time-dependent AdS/CFT

Journal of High Energy Physics

Volumn 7, Issue 1, 2003, Pages 595-614

  Satoh, Yuji ^a   Troost, Jan ^b  

^a UNIVERSITY OF TSUKUBA   (Japan)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

AdS CFT and dS CFT Correspondence; Conformal Field Models in String Theory

Indexed keywords

EID: 23044514278     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2003/01/027     Document Type: Article

References (41)

1. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200].
2. I.R. Klebanov, World-volume approach to absorption by non-dilatonic branes, Nucl. Phys. B 496 (1997) 231 [hep-th/9702076].
3. I.R. Klebanov, Introduction to the AdS/CFT correspondence, prepared for TMR meeting on quantum aspects of gauge theories, supersymmetry and unification, Paris, France, 1-7 Sep. 1999.
4. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109].
5. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150].
6. J.S. Schwinger, Brownian motion of a quantum oscillator, J. Math. Phys. 2 (1961) 407.
7. P.M. Bakshi and M.K. T., Expectation value formalism in quantum field theory, 2, J. Math. Phys. 4 (1963) 12.
8. P.M. Bakshi and M.K. T., Expectation value formalism in quantum field theory, 1, J. Math. Phys. 4 (1963) 1.
9. L.V. Keldysh, Diagram technique for nonequilibrium processes, Zh. Eksp. Teor. Fiz. 47 (1964) 1515.
10. V. Balasubramanian, P. Kraus and A.E. Lawrence, Bulk vs. boundary dynamics in anti-de Sitter spacetime, Phys. Rev. D 59 (1999) 046003 [hep-th/9805171].
11. V. Balasubramanian, P. Kraus, A.E. Lawrence and S.P. Trivedi, Holographic probes of anti-de Sitter space-times, Phys. Rev. D 59 (1999) 104021 [hep-th/9808017].
12. V. Balasubramanian, S.B. Giddings and A.E. Lawrence, What do CFTs tell us about anti-de Sitter spacetimes?, J. High Energy Phys. 03 (1999) 001 [hep-th/9902052].
13. S.B. Giddings, The boundary s-matrix and the AdS to CFT dictionary, Phys. Rev. Lett. 83 (1999) 2707 [hep-th/9903048].
14. D.T. Son and A.O. Starinets, Minkowski-space correlators in AdS/CFT correspondence: recipe and applications, J. High Energy Phys. 09 (2002) 042 [hep-th/0205051].
15. P. Breitenlohner and D.Z. Freedman, Stability in gauged extended supergravity, Ann. Phys. (NY) 144 (1982) 249.
16. L. Mezincescu and P.K. Townsend, Stability at a local maximum in higher dimensional anti-de Sitter space and applications to supergravity, Ann. Phys. (NY) 160 (1985) 406.
17. 3 and SL(2,ℝ) WZW model, I, J. Math. Phys. 42 (2001) 2929 [hep-th/0001053].
18. K. Gawȩdzki, Noncompact WZW conformal field theories, hep-th/9110076.
19. 3 and the SL(2,ℝ) WZW model, III. Correlation functions, Phys. Rev. D 65 (2002) 106006 [hep-th/0111180].
20. M. Bertola, J. Bros, U. Moschella and R. Schaeffer, AdS/CFT correspondence for n-point functions, hep-th/9908140.
21. M. Reed and B. Simon, Methods of modern mathematical analysis, vol. II, Academic Press, New York 1972.
22. E.C. Titchmarsh, Eigenfunction expansions: associated with second-order differential equations, vol. 1, Clarendon Press, Oxford 1962.
23. E. Witten, Multi-trace operators, boundary conditions and AdS/CFT correspondence, hep-th/0112258.
24. I.R. Klebanov and E. Witten, AdS/CFT correspondence and symmetry breaking, Nucl. Phys. B 556 (1999) 89 [hep-th/9905104].
25. U.H. Danielsson, E. Keski-Vakkuri and M. Kruczenski, Vacua, propagators and holographic probes in AdS/CFT, J. High Energy Phys. 01 (1999) 002 [hep-th/9812007].
26. S. Ryang, The hadamard function and the Feynman propagator in the AdS/CFT correspondence, Phys. Lett. B 469 (1999) 87 [hep-th/9909186].
27. 2 black holes, J. High Energy Phys. 11 (1999) 021 [hep-th/9904143].
28. P. Morse and H. Feshbach, Methods of theoretical physics, vol. 1, McGraw-Hill, New York 1953.
29. L. Susskind and E. Witten, The holographic bound in anti-de Sitter space, hep-th/9805114.
30. I. Gel'fand and G. Shilov, Generalized functions I, Academic Press, New York 1964-1968.
31. Y. Brychkov and A. Prudnikov, Integral transforms of generalized functions, Gordon and Breach Science Publishers, New York 1989.
32. d+1 correspondence, Nucl. Phys. B 546 (1999) 96 [hep-th/9804058].
33. d+1, Phys. Rev. D 58 (1998) 041901 [hep-th/9804035].
34. S. de Haro, S.N. Solodukhin and K. Skenderis, Holographic reconstruction of spacetime and renormalization in the AdS/CFT correspondence, Commun. Math. Phys. 217 (2001) 595 [hep-th/0002230].
35. P. Minces and V.O. Rivelles, Energy and the AdS/CFT correspondence, J. High Energy Phys. 12 (2001) 010 [hep-th/0110189].
36. K.-C. Chou, Z.-b. Su, B.-l. Hao and L. Yu, Equilibrium and nonequilibrium formalisms made unified, Phys. Rept. 118 (1985) 1.
37. J.M. Maldacena, Eternal black holes in anti-de Sitter, hep-th/0106112.
38. C.P. Herzog and D.T. Son, Schwinger-keldysh propagators from AdS/CFT correspondence, hep-th/0212072.
39. N. Birrell and P. Davies, Quantum fields in curved space, Cambridge University Press, Cambridge 1982
40. M. Abramowitz and I. Stegun, Handbook of mathematical functions, U.S. Govt. Print. Off., Washington 1972.
41. C.P. Burgess and C.A. Lutken, Propagators and effective potentials in anti-de Sitter space, Phys. Lett. B 153 (1985) 137.