On holomorphic factorization in asymptotically AdS 3D gravity

Classical and Quantum Gravity

Volumn 20, Issue 18, 2003, Pages 4015-4042

  Krasnov, Kirill ^a,b  

^a ALBERT EINSTEIN INSTITUT   (Germany)

^b UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0142137635     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/20/18/311     Document Type: Review

References (48)

1. 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. 104 207-26
2. Maldacena J 1998 The large N limit of superconformal field theories and supergravity Adv. Theor. Math. Phys. 2231-52
3. Aharony O, Gubser S, Maldacena J, Ooguri H and Oz Y 2000 Large N field theories, string theory and gravity Phys. Rep. 323 183-386
4. Witten E 1989 Quantum field theory and the Jones polynomial Commun. Math. Phys. 121 351
5. Freidel L and Krasnov K 2002 2-D conformal field theories and holography Preprint hep-th/0205091
6. Krasnov K 2002 Lambda < 0 quantum gravity in 2 + 1 dimensions: 1. Quantum states and stringy S-matrix Class. Quantum Grav. 19 3977-98
7. Verlinde H 1990 Conformal field theory, two-dimensional quantum gravity and quantization of Teichmuller space Nucl. Phys. B 337 652-80
8. Coussaert O, Henneaux M and van Driel P 1995 Asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant Class. Quantum Grav. 12 2961-6
9. Witten E 1991 Quantization of Chern-Simons gauge theory with complex gauge group Commun. Math. Phys. 137 29-66
10. Gawedzki K 1999 Conformal field theory: a case study Preprint hep-th/9904145
11. +-WZNW model Nucl. Phys. B 571 555-82 See also Teschner J 1999 The mini-superspace limit of the SL (2, C)/SU(2)-WZNW model Nucl. Phys. B 546 369-89
12. +-WZNW model Nucl. Phys. B 571 555-82 See also Teschner J 1999 The mini-superspace limit of the SL (2, C)/SU(2)-WZNW model Nucl. Phys. B 546 369-89
13. Ponsot B and Tesohner J 1999 Liouville bootstrap via harmonic analysis on a non-compact quantum group Preprint hep-th/9911110
14. Pock V V 1997 Dual Teichmuller spaces Preprint dg-ga/9702018 Chekhov L and Fock V V 1999 Quantum Teichmuller space Theor. Math. Phys. 120 1245-59 (Preprint math/9908165)
15. Pock V V 1997 Dual Teichmuller spaces Preprint dg-ga/9702018 Chekhov L and Fock V V 1999 Quantum Teichmuller space Theor. Math. Phys. 120 1245-59 (Preprint math/9908165)
16. Kashaev R M 1997 Quantization of Teichmuller spaces and the quantum dilogarithm Preprint q-alg/9705021 Kashaev R M 1998 Liouville central charge in quantum Teichmuller theory Preprint hep-th/9811203
17. Kashaev R M 1997 Quantization of Teichmuller spaces and the quantum dilogarithm Preprint q-alg/9705021 Kashaev R M 1998 Liouville central charge in quantum Teichmuller theory Preprint hep-th/9811203
18. Banados M 1999 Three-dimensional quantum geometry and black holes Preprint hep-th/9901148
19. Carlip S 1997 The statistical mechanics of the three-dimensional Euclidean black hole Phys. Rev. D 55 878-82
20. Banados M, Brotz T and Ortiz M 1999 Boundary dynamics and the statistical mechanics of the 2 + 1 dimensional black hole Nucl. Phys. B 545 340-70
21. Govindarajan T R, Kaul R K and Suneeta V 2001 Logarithmic correction to the Bekenstein-Hawking entropy of the BTZ black hole Class. Quantum Grav. 18 2877-86
22. Kawai S 1996 The symplectic nature of the space of projective structures on Riemann surfaces Math. Ann. 305 161-82
23. Moncrief V 1989 Reduction of the Einstein equations in 2 + 1 dimensions to a Hamiltonian system over Teichmuller space J. Math. Phys. 30 2907-14
24. Witten E 1988/89 2 + 1 gravity as an exactly soluble system Nucl Phys. B 31146-78
25. Polyakov A M 1987 Quantum gravity in two dimensions Mod. Phys. Lett. A 2 893-8
26. Witten E 1992 On holomorphic factorization of WZW and coset models Commun. Math. Phys. 144 189-212
27. Balasubramanian V and Kraus P 1999 A stress tensor for anti-de Sitter gravity Commun. Math. Phys. 208 413-28
28. Ashtekar A 1981 Asymptotic quantization of the gravitational field Phys. Rev. Lett. 46 573-6 See also Ashtekar A 1984 Asymptotic Quantization (Naples Lectures) (Naples: Bibliopolis)
29. Ashtekar A 1981 Asymptotic quantization of the gravitational field Phys. Rev. Lett. 46 573-6 See also Ashtekar A 1984 Asymptotic Quantization (Naples Lectures) (Naples: Bibliopolis)
30. Thurston W 1982 Three dimensional manifolds, Kleinian groups and hyperbolic geometry Bull. Am, Math. Soc. 6357-81
31. Ashtekar A and Magnon A 1984 Asymptotically anti-de Sitter space-times Class. Quantum Grav. 1 L39-44
32. Krasnov K 2000 Holography and Riemann surfaces Adv. Theor. Math. Phys. 4 1-51
33. Aminneborg S, Bengtsson I, Brill D, Holst Sand Peldan P 1998 Black holes and wormholesin (2+ 1)-dimensions Class. Quantum Grav. 15 627-44 See also Brill D 1999 Black holes and wormholes in (2 + 1)-dimensions Preprint gr-qc/9904083
34. Aminneborg S, Bengtsson I, Brill D, Holst Sand Peldan P 1998 Black holes and wormholesin (2+ 1)-dimensions Class. Quantum Grav. 15 627-44 See also Brill D 1999 Black holes and wormholes in (2 + 1)-dimensions Preprint gr-qc/9904083
35. Goldman W 1984 The symplectic nature of fundamental groups of surfaces Adv. Math. 54 200-25
36. Matschull H J 1999 On the relation between 2+1 Einstein gravity and Chern-Simons theory Class. Quantum Grav. 16 2599-609
37. Matsuzaki K and Taniguchi M 1998 Hyperbolic Manifolds and Kleinian Groups (Oxford)
38. Ford L 1972 Automorphic Functions (New York: Chelsea)
39. Fefferman C and Graham R C 1985 Conformal invariants Astérisque Numéro Hors Serie 95-116
40. Graham C R and Lee J M 1991 Einstein metrics with prescribed conformal infinity on the ball Adv. Math. 87 186-225
41. Skenderis K and Solodukhin S 2000 Quantum effective action from the AdS/CFT correspondence Phys. Lett. B 472 316-22
42. 3 geometry Class. Quantum Grav. 18 2117-24
43. Takhtajan L and Zograf P 1988 On uniformization of Riemann surfaces and the Weil-Peterson metric on Teichmuller and Schottky spaces Math. USSR Sbomik 60 297-313
44. Aldrovandi E and Takhtajan L 1997 Generating functional in CFT and effective action for two-dimensional quantum gravity on higher genus surfaces Commun. Math. Phys. 188 29-67
45. Arcioni G, Blau M and O'Loughlin M 2003 On the boundary dynamics of Chern-Simons gravity /. High Energy Phys. JHEP01(2003)067
46. 3 gravity Nucl. Phys. B 594 329-53
47. Gunning R C 1981 Affine and projective structures on Riemann surfaces, Riemann Surfaces and Related Topics, Proc. 1978 Stony Brook Conf., Ann. Math. Stud. 97 Princeton
48. Gunning R C 1966 Lectures on Riemann Surfaces (Princeton, NJ)