The partition function of the two-dimensional black hole conformal field theory

Journal of High Energy Physics

Volumn 6, Issue 4, 2002, Pages 323-339

  Hanany, Amihay ^a   Prezas, Nikolaos ^a   Troost, Jan ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Black Holes in String Theory; Conformal Field Models in String Theory

Indexed keywords

EID: 23044464639     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2002/04/014     Document Type: Article

References (65)

1. 3 and SL(2,ℝ) WZW model, 1, J. Math. Phys. 42 (2001) 2929 [hep-th/0001053].
2. 3 and the SL(2,ℝ) WZW model, 2. Euclidean black hole, J. Math. Phys. 42 (2001) 2961 [hep-th/0005183].
3. 3 and the SL(2,ℝ) WZW model, 3. Correlation functions, hep-th/0111180.
4. J. Maldacena, J. Michelson and A. Strominger, Anti-de Sitter fragmentation, J. High Energy Phys. 02 (1999) Oil [hep-th/9812073].
5. N. Seiberg and E. Witten, The D1/D5 system and singular CFT, J. High Energy Phys. 04 (1999) 017 [hep-th/9903224].
6. A. Schwimmer and N. Seiberg, Comments on the N = 2, N = 3, N = 4 superconformal algebras in two-dimensions, Phys. Lett. B 184 (1987) 191.
7. J. Balog, L. O'Raifeartaigh, P. Forgacs and A. Wipf, Consistency of string propagation on curved space-times: an SU(1, 1) based counterexample, Nucl. Phys. B 325 (1989) 225.
8. P.M.S. Petropoulos, Comments on SU(1, 1) string theory, Phys. Lett. B 236 (1990) 151.
9. N. Mohammedi, On the unitarity of string propagation on SU(1, 1), Int. J. Mod. Phys. A 5 (1990) 3201.
10. 3 and the stringy exclusion principle, Nucl. Phys. B 535 (1998) 152 [hep-th/9806024].
11. I. Bars and D. Nemeschansky, String propagation in backgrounds with curved space-time, Nucl. Phys. B 348 (1991) 89.
12. S. Hwang, No ghost theorem for SU(1, 1) string theories, Nucl. Phys. B 354 (1991) 100.
13. S. Hwang, Cosets as gauge slices in SU(1, 1) strings, Phys. Lett. B 276 (1992) 451 [hep-th/9110039].
14. S. Hwang, Unitarity of strings and non-compact hermitian symmetric spaces, Phys. Lett. B 435 (1998) 331 [hep-th/9806049].
15. M. Henningson, S. Hwang, P. Roberts and B. Sundborg, Modular invariance of SU(1, 1) strings, Phys. Lett. B 267 (1991) 350.
16. S. Hwang and P. Roberts, Interaction and modular invariance of strings on curved manifolds, hep-th/9211075.
17. 3, Phys. Lett. B 486 (2000) 306 [hep-th/0001063].
18. L.J. Dixon, M.E. Peskin and J. Lykken, N = 2 superconformal symmetry and SO(2,1) current algebra, Nucl. Phys. B 325 (1989) 329.
19. 3, Adv. Theor. Math. Phys. 2 (1998) 733 [hep-th/9806194].
20. 3, J. High Energy Phys. 04 (1999) 008 [hep-th/9903219].
21. 3, J. High Energy Phys. 12 (1998) 026 [hep-th/9812046].
22. J. Teschner, On structure constants and fusion rules in the SL(2,ℂ)/SU(2) WZNW model, Nucl. Phys. B 546 (1999) 390 [hep-th/9712256].
23. J. Teschner, The mini-super space limit of the SL(2,ℂ)/SU(2) WZNW model, Nucl. Phys. B 546 (1999) 369 [hep-th/9712258].
24. +-WZNW model, Nucl. Phys. B 571 (2000) 555 [hep-th/9906215].
25. 3 string theory, J. High Energy Phys. 06 (2001) 010 [hep-th/0105200].
26. 3, Nucl. Phys. B 588 (2000) 149 [hep-th/0005152].
27. K. Gawȩdzki, Noncompact WZW conformal field theories, hep-th/9110076.
28. K. Bardakci, E. Rabinovici and B. Saering, String models with c < 1 components, Nucl. Phys. B 299 (1988) 151.
29. D. Altschuler, K. Bardakcl and E. Rabinovici, A construction of the c <1 modular invariant partition functions, Commun. Math. Phys. 118 (1988) 241.
30. M. Roček, K. Schoutens and A. Sevrin, Off-shell WZW models in extended superspace, Phys. Lett. B 265 (1991) 303.
31. G. Mandai, A.M. Sengupta and S.R. Wadia, Classical solutions of two-dimensional string theory, Mod. Phys. Lett. A 6 (1991) 1685.
32. S. Elitzur, A. Forge and E. Rabinovici, Some global aspects of string compactifications, Nucl. Phys. B 359 (1991) 581.
33. A. Giveon, Target space duality and stringy black holes, Mod. Phys. Lett. A 6 (1991) 2843.
34. R. Dijkgraaf, H. Verlinde and E. Verlinde, String propagation in a black hole geometry, Nucl. Phys. B 371 (1992) 269.
35. E. Witten, On string theory and black holes, Phys. Rev. D 44 (1991) 314.
36. I. Antoniadis, S. Ferrara and C. Kounnas, Exact supersymmetric string solutions in curved gravitational backgrounds, Nucl. Phys. B 421 (1994) 343 [hep-th/9402073].
37. H. Ooguri and C. Vafa, Two-dimensional black hole and singularities of CY manifolds, Nucl. Phys. B 463 (1996) 55 [hep-th/9511164].
38. K. Sfetsos, Branes for Higgs phases and exact conformal field theories, J. High Energy Phys. 01 (1999) 015 [hep-th/9811167].
39. A. Giveon, D. Kutasov and O. Pelc, Holography for non-critical superstrings, J. High Energy Phys. 10 (1999) 035 [hep-th/9907178].
40. A. Giveon and D. Kutasov, Little string theory in a double scaling limit, J. High Energy Phys. 10 (1999) 034 [hep-th/9909110].
41. D. Karabali, Q.-H. Park, H.J. Schnitzer and Z. Yang, A GKO construction based on a path integral formulation of gauged Wess-Zumino-Witten actions, Phys. Lett. B 216 (1989) 307.
42. D. Karabali and H.J. Schnitzer, ERST quantization of the gauged WZW action and coset conformal field theories, Nucl. Phys. B 329 (1990) 649.
43. K. Gawȩdzki and A. Kupiainen, G/H conformal field theory from gauged WZW model, Phys. Lett. B 215 (1988) 119.
44. K. Gawȩdzki and A. Kupiainen, Coset construction from functional integrals, Nucl. Phys. B 320 (1989) 625.
45. P. Ginsparg and F. Quevedo, Strings on curved space-times: black holes, torsion and duality, Nucl. Phys. B 385 (1992) 527 [hep-th/9202092].
46. A.A. Tseytlin, Effective action of gauged WZW model and exact string solutions, Nucl. Phys. B 399 (1993) 601 [hep-th/9301015].
47. D.B. Ray and I.M. Singer, Analytic torsion for complex manifolds, Ann. Math. 98 (1973) 154.
48. J. Polchinski, String theory, vol. I,II, Cambridge University Press, Cambridge 1998.
49. J.D. Lykken, Finitely reducible realizations of the N = 2 superconformal algebra, Nucl. Phys. B 313 (1989) 473.
50. E. Kiritsis, Exact duality symmetries in CFT and string theory, Nucl. Phys. B 405 (1993) 109 [hep-th/9302033].
51. 3, Nucl. Phys. B 615 (2001) 133 [hep-th/0106005].
52. 3, hep-th/0108001.
53. A. Parnachev and D.A. Sahakyan, Some remarks on D-branes in AdSs, J. High Energy Phys. 10 (2001) 022 [hep-th/0109150].
54. S. Yamaguchi, Noncompact gepner models with discrete spectra, Phys. Lett. B 509 (2001) 346 [hep-th/0102176].
55. 3, J. High Energy Phys. 02 (2002) 016 [hep-th/0112198].
56. 2 branes, Nucl. Phys. B 610 (2001) 3 [hep-th/0106129].
57. 3, hep-th/0112188.
58. C. Bachas and M. Petropoulos, Anti-de Sitter D-branes, J. High Energy Phys. 02 (2001) 025 [hep-th/0012234].
59. C. Bachas, J. de Boer, R. Dijkgraaf and H. Ooguri, Permeable conformal walls and holography, hep-th/0111210.
60. A. Karch and L. Randall, Localized gravity in string theory, Phys. Rev. Lett. 87 (2001) 061601 [hep-th/0105108].
61. O. De Wolfe, D.Z. Freedman and H. Ooguri, Holography and defect conformal field theories, hep-th/0111135.
62. S. Elitzur, A. Giveon, D. Kutasov, E. Rabinovici and G. Sarkissian, D-branes in the background of NS fivebranes, J. High Energy Phys. 08 (2000) 046 [hep-th/0005052].
63. E. Gava, K.S. Narain and M.H. Sarmadi, Little string theories in heterotic backgrounds, Nucl. Phys. B 626 (2002) 3 [hep-th/0112200].
64. K. Hori and A. Kapustin, Duality of the fermionic 2d black hole and N = 2 Liouville theory as mirror symmetry, J. High Energy Phys. 08 (2001) 045 [hep-th/0104202].
65. V.A. Fateev, A.B. Zamolodchikov and Al.B. Zamolodchikov, unpublished.