Free field realization of superstring theory on AdS3

Journal of High Energy Physics

Volumn 8, Issue 7, 2004, Pages 391-428

  Hofman, Diego M ^a   Núñz, Carmen A ^b  

^a INSTITUTO DE ASTRONOMÍA Y FÍSICA DEL ESPACIO   (Argentina)

^b UNIVERSIDAD DE BUENOS AIRES   (Argentina)

Author keywords

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

Indexed keywords

EID: 23044433597     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/07/019     Document Type: Article

References (74)

1. 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.
2. E. Witten, On string theory and black holes, Phys. Rev. D 44 (1991) 314.
3. M. Bañados, C. Teitelboim and J. Zanelli, The black hole in three-dimensional space-time, Phys. Rev. Lett. 69 (1992) 1849 [hep-th/9204099];
4. M. Bañados, M. Henneaux, C. Teitelboim and J. Zanelli, Geometry of the (2+1) black hole, Phys. Rev. D 48 (1993) 1506 [gr-qc/9302012].
5. A.M. Polyakov, Quantum gravity in two-dimensions, Mod. Phys. Lett. A 2 (1987) 893.
6. N. Seiberg, Notes on quantum Liouville theory and quantum gravity, Prog. Theor. Phys. Suppl. 102 (1990) 319.
7. H. Ooguri and C. Vafa, Two-dimensional black hole and singularities of CY manifolds, Nucl. Phys. B 463 (1996) 55 [hep-th/9511164].
8. A. Giveon and D. Kutasov, Comments on double scaled little string theory, J. High Energy Phys. 01 (2000) 023 [hep-th/9911039];
9. Little string theory in a double scaling limit, J. High Energy Phys. 10 (1999) 034 [hep-th/9909110];
10. O. Aharony, A. Giveon and D. Kutasov, LSZ in LST, hep-th/0404016.
11. N. Mohammedi, On the unitarity of string propagation on SU(1,1), Int. J. Mod. Phys. A 5 (1990) 3201;
12. P.M.S. Petropoulos, Comments on SU(1,1) string theory, Phys. Lett. B 236 (1990) 151;
13. M. Henningson and S. Hwang, The unitarity of SU(1,1) fermionic strings, Phys. Lett. B 258 (1991) 341;
14. M. Henningson, S. Hwang, P. Roberts and B. Sundborg, Modular invariance of SU(1,1) strings, Phys. Lett. B 267 (1991) 350;
15. S. Hwang and P. Roberts, Interaction and modular invariance of strings on curved manifolds, hep-th/9211075;
16. S. Hwang, No ghost theorem for SU(1,1) string theories, Nucl. Phys. B 354 (1991) 100;
17. Cosets as gauge slices in SU(1,1) strings, Phys. Lett. B 276 (1992) 451 [hep-th/9110039];
18. I. Bars and D. Nemeschansky, String propagation in backgrounds with curved space-time, Nucl. Phys. B 348 (1991) 89;
19. I. Bars, Ghost-free spectrum of a quantum string in SL(2, ℝ) curved space-time, Phys. Rev. D 53 (1996) 3308 [hep-th/9503205];
20. 3: some open questions, hep-th/9908189;
21. 3, J. High Energy Phys. 11 (1999) 031 [hep-th/9909149].
22. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200];
23. 3, Adv. Theor. Math. Phys. 2 (1998) 733 [hep-th/9806194].
24. 3, J. High Energy Phys. 04 (1999) 008 [hep-th/9903219].
25. 3 and the SL(2,ℝ) WZW model, III. Correlation functions, Phys. Rev. D 65 (2002) 106006 [hep-th/0111180].
26. 3 and SL(2,ℝ) WZW model, I, J. Math. Phys. 42 (2001) 2929 [hep-th/0001053].
27. 3 and the SL(2,ℝ) WZW model, II. Euclidean black hole, J. Math. Phys. 42 (2001) 2961 [hep-th/0005183].
28. 3 and holography, J. High Energy Phys. 10 (2003) 028 [hep-th/0306053].
29. K. Gawȩdzki, Noncompact WZW conformal field theories, hep-th/9110076.
30. 3, Nucl. Phys. B 588 (2000) 149 [hep-th/0005152];
31. 3, Nucl. Phys. B 598 (2001) 451 [hep-th/0009107].
32. 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];
33. +-WZNW model, Nucl. Phys. B 571 (2000) 555 [hep-th/9906215];
34. + WZNW model, Phys. Lett. B 521 (2001) 127 [hep-th/0108121].
35. 3, Nucl. Phys. B 621 (2002) 303 [hep-th/0106004].
36. 3, J. High Energy Phys. 06 (2000) 033 [hep-th/0006070].
37. 3 string theory, J. High Energy Phys. 06 (2001) 010 [hep-th/0105200].
38. V.S. Dotsenko, The free field representation of the SU(2) conformal field theory, Nucl. Phys. B 338 (1990) 747;
39. Solving the SU(2) conformal field theory with the Wakimoto free field representation, Nucl. Phys. B 358 (1991) 547.
40. J.L. Petersen, J. Rasmussen and M. Yu, Conformal blocks for admissible representations in SL(2) current algebra, Nucl. Phys. B 457 (1995) 309 [hep-th/9504127];
41. Fusion, crossing and monodromy in conformal field theory based on sl(2) current algebra with fractional level, Nucl. Phys. B 481 (1996) 577 [hep-th/9607129];
42. O. Andreev, Operator algebra of the SL(2) conformal field theories, Phys. Lett. B 363 (1995) 166 [hep-th/9504082].
43. P. Furlan, A.C. Ganchev, R. Paunov and V.B. Petkova, Solutions of the Knizhnik-Zamolodchikov equation with rational isospins and the reduction to the minimal models, Nucl. Phys. B 394 (1993) 665 [hep-th/9201080];
44. (1) admissible representations - fusion transformations and local correlators, Nucl. Phys. B 491 (1997) 635 [hep-th/9608018].
45. K. Becker and M. Becker, Interactions in the SL(2,ℝ)/U(1) black hole background, Nucl. Phys. B 418 (1994) 206 [hep-th/9310046].
46. 3, J. High Energy Phys. 04 (2004) 074 [hep-th/0402004].
47. F. David, Conformal field theories coupled to 2D gravity in the conformal gauge, Mod. Phys. Lett. A 3 (1988) 1651;
48. J. Distler and H. Kawai, Conformal field theory and 2D quantum gravity or who's afraid of Joseph Liouville?, Nucl. Phys. B 321 (1989) 509.
49. (1), Commun. Math. Phys. 104 (1986) 605.
50. Y. Satoh, Ghost-free and modular invariant spectra of a string in SL(2,ℝ) and three-dimensional black hole geometry, Nucl. Phys. B 513 (1998) 213 [hep-th/9705208].
51. S. Mizoguchi, Modular invariant critical superstrings on four-dimensional minkowski space × two-dimensional black hole, J. High Energy Phys. 04 (2000) 014 [hep-th/0003053].
52. 3 as discrete light-cone Liouville theory, Nucl. Phys. B 589 (2000) 134 [hep-th/0005065].
53. 3 and the stringy exclusion principle, Nucl. Phys. B 535 (1998) 152 [hep-th/9806024].
54. R. Dijkgraaf, H. Verlinde and E. Verlinde, String propagation in a black hole geometry, Nucl. Phys. B 371 (1992) 269.
55. D. Gepner, Space-time supersymmetry in compactified string theory and superconformal models, Nucl. Phys. B 296 (1988) 757.
56. V.S. Dotsenko and V.A. Fateev, Conformal algebra and multipoint correlation functions in 2D statistical models, Nucl. Phys. B 240 (1984) 312;
57. Four point correlation functions and the operator algebra in the two-dimensional conformal invariant theories with the central charge C < 1, Nucl. Phys. B 251 (1985) 691.
58. B.L. Feigin and E.V. Frenkel, Representations of affine Kac-Moody algebras, bosonization and resolutions, Lett. Math. Phys. 19 (1990) 307.
59. M. Bershadsky and H. Ooguri, Hidden SL(N) symmetry in conformal field theories, Commun. Math. PHYS. 126 (1989) 49.
60. V. Fateev, A. Zamolodchikov and Al. Zamolodchikov, unpublished notes.
61. P. Di Vecchia, V.G. Knizhnik, J.L. Petersen and P. Rossi, A supersymmetric Wess-Zumino lagrangian in two-dimensions, Nucl. Phys. B 253 (1985) 701.
62. Y. Kazama and H. Suzuki, New N = 2 superconformal field theories and superstring compactification, Nucl. Phys. B 321 (1989) 232.
63. D. Kutasov, F. Larsen and R.G. Leigh, String theory in magnetic monopole backgrounds, Nucl. Phys. B 550 (1999) 183 [hep-th/9812027].
64. 1, Phys. Lett. B 449 (1999) 180 [hep-th/9811245].
65. 1, hep-th/0403090.
66. H. Lu and J.F. Vazquez-Poritz, Penrose limits of non-standard brane intersections, Class, and Quant. Grav. 19 (2002) 4059 [hep-th/0204001].
67. 3 × N, J. High Energy Phys. 04 (1999) 019 [hep-th/9904024].
68. 3 backgrounds, Phys. Lett. B 458 (1999) 297 [hep-th/9904040].
69. 3 × N, J. High Energy Phys. 03 (2003) 056 [hep-th/0302217].
70. D. Friedan, E.J. Martinec and S.H. Shenker, Conformal invariance, supersymmetry and string theory, Nucl. Phys. B 271 (1986) 93.
71. 3 and symmetric products, J. High Energy Phys. 12 (2000) 003 [hep-th/0009242];
72. 3 and symmetric products, Fortschr. Phys. 49 (2001) 409 [hep-th/0012117].
73. 3, Lic. Thesis, Physics Department, UBA, 2001.
74. A. Giveon, A. Konechny, A. Pakman and A. Sever, Type 0 strings in a 2D black hole, J. High Energy Phys. 10 (2003) 025 [hep-th/0309056].