Setting the boundary free in AdS/CFT

Classical and Quantum Gravity

Volumn 25, Issue 19, 2008, Pages

  Compère, Geoffrey ^a   Marolf, Donald ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 56349151798     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/25/19/195014     Document Type: Article

References (92)

1. Maldacena J 1998 The large N limit of superconformal field theories and supergravity Adv. Theor. Math. Phys. 2 231-52
2. Gubser S S, Klebanov I R and Polyakov A M 1998 Gauge theory correlators from non-critical string theory Phys. Lett. B 428 105-14
3. Witten E 1998 Anti-de Sitter space and holography Adv. Theor. Math. Phys. 2 253-91
4. Witten E 2001 Multi-trace operators, boundary conditions, and AdS/CFT correspondence Preprint hep-th/0112258
5. Berkooz M, Sever A and Shomer A 2002 Double-trace deformations, boundary conditions and spacetime singularities J. High Energy Phys. JHEP05(2002)034
6. Sever A and Shomer A 2002 A note on multi-trace deformations and AdS/CFT J. High Energy Phys. JHEP07(2002)027
7. Witten E 2003 SL(2, Z) action on three-dimensional conformal field theories with Abelian symmetry Preprint hep-th/0307041
8. Rocha J V 2008 Evaporation of large black holes in AdS: coupling to the evaporon Preprint 0804.0055
9. Leigh R G and Petkou A C 2003 SL(2, Z) action on three-dimensional CFTs and holography J. High Energy Phys. JHEP12(2003)020
10. Leigh R G and Petkou A C 2007 Gravitational duality transformations on (A)dS4 J. High Energy Phys. JHEP11(2007)079
11. Marolf D and Ross S F 2006 Boundary conditions and new dualities: vector fields in AdS/CFT J. High Energy Phys. JHEP11(2006)085
12. Ishibashi A and Wald R M 2004 Dynamics in non-globally hyperbolic static spacetimes: III. Anti-de Sitter spacetime Class. Quantum Grav. 21 2981-3014
13. Yee H-U 2004 A note on AdS/CFT dual of SL(2, Z) action on 3D conformal field theories with U(1) symmetry Phys. Lett. B 598 139-48
14. Kiritsis E 2005 Holography and brane-bulk energy exchange J. Cosmol. Astropart. Phys. JCAP10(2005)014
15. Sakharov A D 1968 Vacuum quantum fluctuations in curved space and the theory of gravitation Sov. Phys. Dokl. 12 1040-1
16. Adler S L 1982 Einstein gravity as a symmetry breaking effect in quantum field theory Rev. Mod. Phys. 54 729
17. Henningson M and Skenderis K 1998 The holographic Weyl anomaly J. High Energy Phys. JHEP07(1998)023
18. Balasubramanian V and Kraus P 1999 A stress tensor for anti-de Sitter gravity Commun. Math. Phys. 208 413-28
19. de Haro S, Solodukhin S N and Skenderis K 2001 Holographic reconstruction of spacetime and renormalization in the AdS/CFT correspondence Commun. Math. Phys. 217 595-622
20. Papadimitriou I and Skenderis K 2005 Thermodynamics of asymptotically locally AdS spacetimes J. High Energy Phys. JHEP08(2005)004
21. Ashtekar A and Magnon A 1984 Asymptotically anti-de Sitter space-times Class. Quantum Grav. 1 L39
22. Henneaux M and Teitelboim C 1985 Asymptotically anti-de Sitter spaces Commun. Math. Phys. 98 391
23. Henneaux M 1986 Asymptotically anti-de Sitter universes in d = 3, 4 and higher dimensions Proc. of the 4th Marcel Grossmann Meeting on General Relativity (Rome, 1985) ed R Ruffini (Amsterdam: Elsevier) pp 959-66
24. Brown J D and Henneaux M 1986 Central charges in the canonical realization of asymptotic symmetries: an example from three-dimensional gravity Commun. Math. Phys. 104 207
25. Balasubramanian V, Kraus P and Lawrence A E 1999 Bulk versus boundary dynamics in anti-de Sitter spacetime Phys. Rev. D 59 046003
26. Balasubramanian V, Kraus P, Lawrence A E and Trivedi S P 1999 Holographic probes of anti-de Sitter space-times Phys. Rev. D 59 104021
27. Balasubramanian V, Gimon E G, Minic D and Rahmfeld J 2001 Four dimensional conformal supergravity from AdS space Phys. Rev. D 63 104009
28. Randall L and Sundrum R 1999 A large mass hierarchy from a small extra dimension Phys. Rev. Lett. 83 3370-3
29. Randall L and Sundrum R 1999 An alternative to compactification Phys. Rev. Lett. 83 4690-3
30. Liu H and Tseytlin A A 1998 D = 4 super Yang-Mills, D = 5 gauged supergravity, and D = 4 conformal supergravity Nucl. Phys. B 533 88-108
31. Skenderis K and Solodukhin S N 2000 Quantum effective action from the AdS/CFT correspondence Phys. Lett. B 472 316-22
32. Hawking S W, Hertog T and Reall H S 2001 Trace anomaly driven inflation Phys. Rev. D 63 083504
33. Papadimitriou I 2007 Multi-trace deformations in AdS/CFT: exploring the vacuum structure of the deformed CFT J. High Energy Phys. JHEP05(2007)075
34. Breitenlohner P and Freedman D Z 1982 Positive energy in anti-de Sitter backgrounds and gauged extended supergravity Phys. Lett. B 115 197
35. Breitenlohner P and Freedman D Z 1982 Stability in gauged extended supergravity Ann. Phys. 144 249
36. Klebanov I R and Witten E 1999 AdS/CFT correspondence and symmetry breaking Nucl. Phys. B 556 89-114
37. Wald R 1994 Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics (Chicago Lectures in Physics) (Chicago, IL: University of Chicago Press)
38. Compere G 2007 Symmetries and conservation laws in Lagrangian gauge theories with applications to the mechanics of black holes and to gravity in three dimensions PhD Thesis Université Libre de Bruxelles Preprint 0708.3153
39. Barnich G and Compere G 2008 Surface charge algebra in gauge theories and thermodynamic integrability J. Math. Phys. 49 042901
40. Iyer V and Wald R M 1994 Some properties of Noether charge and a proposal for dynamical black hole entropy Phys. Rev. D 50 846-864
41. Wald R M and Zoupas A 2000 A general definition of conserved quantities in general relativity and other theories of gravity Phys. Rev. D 61 084027
42. Barnich G and Brandt F 2002 Covariant theory of asymptotic symmetries, conservation laws and central charges Nucl. Phys. B 633 3-82
43. Anderson I M 1989 The variational bicomplex Technical report Formal Geometry and Mathematical Physics, Department of Mathematics, Utah State University
44. Olver P J 1993 Applications of Lie Groups to Differential Equations 2nd edn (New York: Spinger)
45. Olver P J 1986 Applications of Lie Groups to Differential Equations 1st edn (New York: Spinger)
46. Saunders D J 1989 The Geometry of Jet Bundles (Cambridge: Cambridge University Press)
47. Dickey L A 1991 Soliton Equations and Hamiltonian Systems (Advanced Series in Mathematical Physics vol 12) (Singapore: World Scientific)
48. Hollands S, Ishibashi A and Marolf D 2005 Comparison between various notions of conserved charges in asymptotically AdS-spacetimes Class. Quantum Grav. 22 2881-920
49. Hollands S, Ishibashi A and Marolf D 2005 Counter-term charges generate bulk symmetries Phys. Rev. D 72 104025
50. Smolin L 1992 Quantum Gravity and Cosmology ed J Pérez-Mercader, J Sola and E Verdaguer (Singapore: World Scientific)
51. Smolin L and Starodubtsev A 2003 General relativity with a topological phase: an action principle
52. Polyakov A M 1987 Quantum gravity in two-dimensions Mod. Phys. Lett. A 2 893
53. Polyakov A M 1990 Gauge transformations and diffeomorphisms Int. J. Mod. Phys. A 5 833
54. Banados M 1998 Three-dimensional quantum geometry and black holes, in Trends in Theoretical Physics (Buenos Airos, Argentina, 29 November-4 December 1998) (AIP Conf. Proc.) ed H Falomir, R E Gamboa Saravi and F A Schaposnik (New York: American Institute of Physics) pp 147-69 (Preprint hep-th/9901148)
55. Coussaert O, Henneaux M and van Driel P 1995 The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant Class. Quantum Grav. 12 2961-6
56. Rooman M and Spindel P 2000 Aspects of (2+1)-dimensional gravity: AdS(3) asymptotic dynamics in the framework of Fefferman-Graham-Lee theorems Ann. Phys. 9 161-7 (Preprint hep-th/9911142)
57. Rooman M and Spindel P 2001 Holonomies, anomalies and the Fefferman-Graham ambiguity in AdS(3) gravity Nucl. Phys. B 594 329-53 (Preprint hep-th/0008147)
58. Bautier K 1999 Diffeomorphisms and Weyl transformations in AdS(3) gravity Preprint hep-th/9910134
59. Bautier K, Englert F, Rooman M and Spindel P 2000 The Fefferman-Graham ambiguity and AdS black holes Phys. Lett. B 479 291-8
60. Carlip S 2005 Dynamics of asymptotic diffeomorphisms in (2 + 1)-dimensional gravity Class. Quantum Grav. 22 3055-60
61. Deser S, Duff M J and Isham C J 1976 Nonlocal conformal anomalies Nucl. Phys. B 111 45
62. Fradkin E S and Tseytlin A A 1984 Conformal anomaly in Weyl theory and anomaly free superconformal theories Phys. Lett. B 134 187
63. Riegert R J 1984 A nonlocal action for the trace anomaly Phys. Lett. B 134 56-60
64. Antoniadis I and Mottola E 1992 4-D quantum gravity in the conformal sector Phys. Rev. D 45 2013-2025
65. Deser S and Schwimmer A 1993 Geometric classification of conformal anomalies in arbitrary dimensions Phys. Lett. B 309 279-84
66. Deser S 2000 Conformal anomalies revisited: closed form effective actions in D ≥ 4 Nucl. Phys. Proc. Suppl. 88 204-9
67. Mazur P O and Mottola E 2001 Weyl cohomology and the effective action for conformal anomalies Phys. Rev. D 64 104022
68. Deser S, Jackiw R and Templeton S 1982 Topologically massive gauge theories Ann. Phys. 140 372-411
69. Deser S, Jackiw R and Templeton S 1982 Three-dimensional massive gauge theories Phys. Rev. Lett. 48 975-8
70. Deser S 1984 Cosmological topological supergravity Quantum Theory of Gravity ed S M Cristensen (London: Adam Hilgar)
71. Li W, Song W and Strominger A 2008 Chiral gravity in three dimensions J. High Energy Phys. JHEP04(2008)082
72. Carlip S, Deser S, Waldron A and Wise D K 2008 Cosmological topologically massive gravitons and photons
73. Hawking S W, Hertog T and Reall H S 2000 Brane new world Phys. Rev. D 62 043501
74. Tomboulis E 1977 1/N expansion and renormalization in quantum gravity Phys. Lett. B 70 361
75. Henneaux M and Teitelboim C 2005 Duality in linearized gravity Phys. Rev. D 71 024018
76. Julia B, Levie J and Ray S 2005 Gravitational duality near de Sitter space J. High Energy Phys. JHEP11(2005)025
77. de Haro S and Petkou A C 2008 Holographic aspects of electric-magnetic dualities J. Phys.: Conf. Ser. 110 102003
78. Freivogel B, Sekino Y, Susskind L and Yeh C-P 2006 A holographic framework for eternal inflation Phys. Rev. D 74 086003
79. Gunaydin M and Warner N P 1986 Unitary supermultiplets of Osp(8/4,R) and the spectrum of the S(7) compactification of eleven-dimensional supergravity Nucl. Phys. B 272 99
80. Hollands S and Marolf D 2007 Asymptotic generators of fermionic charges and boundary conditions preserving supersymmetry Class. Quantum Grav. 24 2301-32
81. Olea R 2007 Regularization of odd-dimensional AdS gravity: Kounterterms J. High Energy Phys. JHEP04(2007)073
82. Mottola E and Vaulin R 2006 Macroscopic effects of the quantum trace anomaly Phys. Rev. D 74 064004
83. Kaku M 1983 Strong coupling approach to the quantization of conformal gravity Phys. Rev. D 27 2819
84. Tomboulis E T 1984 Unitarity in higher derivative quantum gravity Phys. Rev. Lett. 52 1173
85. Fefferman C and Graham C R 1985 Conformal invariants Asterisque page Hors Serie
86. Parker T and Rosenberg S 1987 Invariants of conformal Laplacians J. Diff. Geom. 25 199
87. Karakhanyan D R, Manvelyan R P and Mkrtchyan R L 1996 Trace anomalies and cocycles of Weyl and diffeomorphisms groups Yerevan Preprint
88. Boulanger N and Erdmenger J 2004 A classification of local Weyl invariants in D = 8 Class. Quantum Grav. 21 4305-16
89. Boulanger N 2007 Algebraic classification of Weyl anomalies in arbitrary dimensions Phys. Rev. Lett. 98 261302
90. Wald R M 1984 General Relativity (Chicago, IL: University of Chicago Press)
91. AT&T The On-Line Encyclopedia of Integer Sequences
92. Arfken G 1985 Mathematical Methods for Physicists (3rd edn) (New York: Academic)