Quantum Liouville theory and BTZ black hole entropy

Classical and Quantum Gravity

Volumn 21, Issue 4, 2004, Pages 1153-1180

  Chen, Yujun ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1342310843     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/21/4/028     Document Type: Article

References (82)

1. Bañados M, Teitelboim C and Zanelli J 1992 Phys. Rev. Lett. 69 1849
2. Strominger A 1998 J. High Energy Phys. JHEP02(1998)009 (Preprint hep-th/9712251)
3. Birmingham D, Sachs I and Sen S 1998 Phys. Lett. B 424 275 (Preprint hep-th/9801019)
4. Balasubramanian V and Larsen F 1998 Nucl. Phys. B 528 229
5. Iofa M and Pando Zayas L A 1998 Preprint hep-th/9803083
6. Lee H W and Myung Y S 1998 Preprint hep-th/9804095
7. Cvetič M and Larsen F 1998 Preprint hep-th/9805097
8. Cvetič M and Larsen F 1998 Preprint hep-th/9805146
9. Hyun S 1997 Preprint hep-th/9704005
10. Sfetsos K and Skenderis K 1998 Nucl. Phys. B 517 179
11. Brown J D and Henneaux M 1986 Commun. Math. Phys. 104 207
12. Cardy J A 1986 Nucl. Phys. B 270 186
13. Blöte H W J, Cardy J A and Nightingale M P 1986 Phys. Rev. Lett. 56 742
14. Carlip S 1998 Class. Quantum Grav. 15 3609 (Preprint hep-th/9712251)
15. Banãdos M 1996 Phys. Rev. D 52 5816 (Preprint hep-th/9405171)
16. Achucarro A and Townsend P K 1986 Phys. Lett. B 180 89
17. Witten E 1988 Nucl. Phys. B 311 46
18. Coussaert O, Henneaux M and van Driel P 1995 Class. Quantum Grav. 12 2961
19. Rooman M and Spindel Ph 2001 Nucl. Phys. B 594 329 (Preprint hep-th/0008147)
20. Martinec E J 1998 Preprint hep-th/9809021
21. Kutasov D and Seiberg N 1991 Nucl. Phys. B 358 600
22. Solodukhin S N 1999 Phys. Lett. B 454 213 (Preprint hep-th/9812056)
23. Giacomini A and Pinamonti N 2003 J. High Energy Phys. JHEP02(2003)014 (Preprint gr-qc/0301038)
24. Gervais J-L and Neveu A 1982 Nucl. Phys. B 199 59
25. Gervais J-L and Neveu A 1982 Nucl. Phys. B 209 125
26. Gervais J-L and Neveu A 1983 Phys. Lett. B 123 86
27. Gervais J-L and Neveu A 1983 Nucl. Phys. B 224 329
28. Gervais J-L and Neveu A 1984 Nucl. Phys. B 238 125
29. Gervais J-L and Neveu A 1984 Nucl. Phys. B 238 396
30. Gervais J-L and Neveu A 1985 Phys. Lett. B 151 271
31. Gervais J-L and Neveu A 1986 Nucl. Phys. B 264 557
32. Gervais J-L 1990 Phys. Lett. B 243 85
33. Gervais J-L 1990 Commun. Math. Phys. 130 257
34. Gervais J-L 1992 Class. Quantum Grav. 9 S97
35. Seiberg N 1990 Prog. Theor. Phys. Suppl. 102 319
36. Ginsparg P and Moore G 1993 Preprint hep-th/9304011
37. Liouville J 1879 J. Math. Pure Appl. 18 71
38. Braaten E, Curtright T and Thorn C B 1982 Phys. Lett. B 118 115
39. Curtright T and Thorn C 1982 Phys. Rev. Lett. 48 1309
40. D'Hoker E 1991 Mod. Phys. Lett. A 6 745
41. Lust D and Schnittger J 1991 Int. J. Mod. Phys. A 6 3625
42. D'Hoker E and Jackiw R 1982 Phys. Rev. D 26 3517
43. Fefferman C and Graham C R 1985 Soc. Math. de France, Asterisque, hors serie vol 95
44. Bañados M 1999 Preprint hep-th/9901148
45. Skenderis K and Solodukhin S 2000 Phys. Lett. B 472 316 (Preprint hep-th/9910023)
46. Rooman M and Spindel Ph 2001 Class. Quantum Grav. 18 2117 Preprint gr-qc/0011005
47. Yang C-N 1967 Phys. Rev. Lett. 19 1312
48. Baxter R J 1972 Ann. Phys., NY 70 193
49. Baxter R J 1982 Exactly Solved Models in Statistical Mechanics (London: Academic)
50. Klimyk L A and Schuüdgen K 1997 Quantum Groups and their Representations (Berlin: Springer)
51. Chari V and Pressley A 1994 A Guide to Quantum Groups (Cambridge: Cambridge University Press)
52. Kassel C 1995 Quantum Groups (Berlin: Springer)
53. Reshetikhin N 1995 Commun. Math. Phys. 170 79
54. Gervais J-L 1991 Commun. Math. Phys. 138 301
55. Gervais J-L 1993 Nucl. Phys. B 391 287 (Preprint hep-th/9205034)
56. Gervais J-L and Schnittger J 1993 Phys. Lett. B 315 258 (Preprint hep-th/9305043)
57. Schnittger J 1996 Theor. Math. Phys. 104 892 (Preprint hep-th/9412176)
58. Belavin A A, Polyakov A M and Zamolodchikov A B 1993 Nucl. Phys. B 241 333
59. Kac V G 1979 Lecture Notes in Physics vol 94 (Berlin: Springer)
60. Kac V G 1978 Proc. Int. Congress of Mathematicians (Helsinki, 1978) p 299
61. Takhtajan L 1991 Cargese 1991, Proc. New Symmetry Principles in Quantum Field Theory pp 383-406
62. Takhtajan L 1993 Mod. Phys. Lett. A 8 3529 (Preprint hep-th/9308125)
63. Takhtajan L 1994 Mod. Phys. Lett. A 9 2293 (Preprint hep-th/9403013)
64. Takhtajan L 1996 Mod. Phys. Lett. A 11 93 (Preprint hep-th/9509026)
65. Takhtajan L 1996 Proc. Int. School of Physics 'Enrico Fermi' Course 127 (Amsterdam: IOS Press) p 541
66. Poincaré H 1898 J. Math. Pure Appl. 4 137
67. Takhtajan L and Zograf P 2001 Preprint math.cv/0112170
68. Troyanov M Lecture Notes in Mathematics vol 1410 (New York: Springer) pp 296-308
69. Onofri E and Virasoro M A 1982 Nucl. Phys. B 201 159
70. Zamolodchikov A B 1982 Phys. Lett. B 117 87
71. Krasnov K 2001 Class. Quantum Grav. 18 1291 (Preprint hep-th/0008253)
72. Picard E 1893 J. Math. Pure Appl. 9 273 Picard E 1905 Crelle's J. 130 243
73. Picard E 1893 J. Math. Pure Appl. 9 273 Picard E 1905 Crelle's J. 130 243
74. Lichtenstein L 1915 Acta Math. 40 1
75. Troyanov M 1991 Trans. Am. Math. Soc. 134 793
76. Dorn H and Otto H-J 1992 Phys. Lett. B 291 39 Dorn H and Otto H-J 1994 Nucl. Phys. B 429 375
77. Dorn H and Otto H-J 1992 Phys. Lett. B 291 39 Dorn H and Otto H-J 1994 Nucl. Phys. B 429 375
78. Fateev V, Zamolodchikov A and Zamolodchikov Al 2000 Preprint hep-th/0001012
79. Di Francesco P, Mathieu P and Senechal D 1997 Conformal Field Theory (New York: Springer)
80. Polychronakos A P 1990 Ann. Phys., NY 203 231
81. Polychronakos A P 1990 Phys. Lett. B 241 37
82. Hayashi N 1993 Prog. Theor. Phys. Suppl. 114 125