Modular invariant critical superstrings on four-dimensional Minkowski space x two-dimensional black hole

Journal of High Energy Physics

Volumn 4, Issue 4, 2000, Pages

  Mizoguchi, Shun'ya ^a  

^a INSTITUTE OF PARTICLE AND NUCLEAR STUDIES   (Japan)

Author keywords

Conformal Field Models in String Theory; Supergravity Models

Indexed keywords

EID: 6944255752     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (53)

1. O. Aharony, M. Berkooz, D. Kutasov and N. Seiberg, Linear dilatons, NS5-branes and holography, J. High Energy Phys. 10 (1998) 004 [hep-th/9808149].
2. A. Giveon, D. Kutasov and O. Pelc, Holography for non-critical superstrings, J. High Energy Phys. 10 (1999) 035 [hep-th/9907178].
3. A. Giveon and D. Kutasov, Little string theory in a double scaling limit, J. High Energy Phys. 10 (1999) 034 [hep-th/9909110]; Comments on double scaled little string theory, J. High Energy Phys. 01 (2000) 023 [hep-th/9911039].
4. A. Giveon and D. Kutasov, Little string theory in a double scaling limit, J. High Energy Phys. 10 (1999) 034 [hep-th/9909110]; Comments on double scaled little string theory, J. High Energy Phys. 01 (2000) 023 [hep-th/9911039].
5. O. Pelc, Holography, singularities on orbifolds and 4D N = 2 SQCD, J. High Energy Phys. 03 (2000) 012 [hep-th/0001054].
6. E. Witten, On string theory and black holes, Phys. Rev. D 44 (1991) 314.
7. D. Gepner, Space-time supersymmetry in compactified string theory and superconformal models, Nucl. Phys. B 296 (1988) 757; Exactly solvable string compactifications on manifolds of SU(N) holonomy, Phys. Lett. B 199 (1987) 380.
8. D. Gepner, Space-time supersymmetry in compactified string theory and superconformal models, Nucl. Phys. B 296 (1988) 757; Exactly solvable string compactifications on manifolds of SU(N) holonomy, Phys. Lett. B 199 (1987) 380.
9. D. Ghoshal and C. Vafa, c = 1 string as the topological theory of the conifold, Nucl. Phys. B 453 (1995) 121 [hep-th/9506122].
10. H. Ooguri and C. Vafa, Two-dimensional black hole and singularities of CY manifolds, Nucl. Phys. B 463 (1996) 55 [hep-th/9511164].
11. Y. Kazama and H. Suzuki, New n=2 superconformal field theories and superstring compactification, Nucl. Phys. B 321 (1989) 232.
12. L.J. Dixon, M.E. Peskin and J. Lykken, N=2 superconformal symmetry and SO(1, 1) current algebra, Nucl. Phys. B 325 (1989) 329.
13. Z. an Qiu, Nonlocal current algebra and N = 2 superconformal field theory in two-dimensions, Phys. Lett. B 188 (1987) 207; A.B. Zamolodchikov and V.A. Fateev, Disorder fields in two-dimensional conformal quantum field theory and N = 2 extended supersymmetry, Sov. Phys. JETP 63 (1986) 913.
14. Z. an Qiu, Nonlocal current algebra and N = 2 superconformal field theory in two-dimensions, Phys. Lett. B 188 (1987) 207; A.B. Zamolodchikov and V.A. Fateev, Disorder fields in two-dimensional conformal quantum field theory and N = 2 extended supersymmetry, Sov. Phys. JETP 63 (1986) 913.
15. E.J. Martinec, Algebraic geometry and effective lagrangians, Phys. Lett. B 217 (1989) 431.
16. C. Vafa and N. Warner, Catastrophes and the classification of conformal theories, Phys. Lett. B 218 (1989) 51.
17. H.J. Schnitzer, A path integral construction of superconformal field theories from a gauged super symmetric Wess-Zumino-Witten action, Nucl. Phys. B 324 (1989) 412.
18. E. Witten, The N matrix model and gauged WZW models, Nucl. Phys. B 371 (1992) 191.
19. 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.
20. V.K. Dobrev, Characters of the unitarizable highest weight modules over the N = 2 superconformal algebras, Phys. Lett. B 186 (1987) 43.
21. Y. Matsuo, Character formula of c < 1 unitary representation of N = 2 superconformal algebra, Prog. Theor. Phys. 77 (1987) 793.
22. E. Kiritsis, Character formulae and the structure of the representations of the N = 1, N = 2 superconformal algebras, Int. J. Mod. Phys. A 3 (1988) 1871.
23. K. Huitu, Modular invariants of N = 2 super symmetric SU(1, 1) models, Phys. Lett. B 313 (1993) 75 [hep-th/9206008].
24. S.-K. Yang, Modular invariant partition function of the ashkin-teller model on the critical line and n=2 superconformal invariance, Nucl. Phys. B 285 (1987) 183.
25. P. Ginsparg, Curiosities at c = 1, Nucl. Phys. B 295 (1988) 153.
26. E. Witten, Some comments on string dynamics, In Los Angeles 1995, Future perspectives in string theory, p. 501 [hep-th/9507121].
27. R. Dijkgraaf, H. Verlinde and E. Verlinde, String propagation in a black hole geometry, Nucl. Phys. B 371 (1992) 269.
28. A. Bilal and J.L. Gervais, New critical dimensions for string theories, Nucl. Phys. B 284 (1987) 397.
29. A. Bilal and J.L. Gervais, Modular invariance for closed strings at the new critical dimensions, Phys. Lett. B 187 (1987) 39.
30. D. Friedan, E. Martinec and S. Shenker, Conformal invariance, supersymmetry and string theory, Nucl. Phys. B 271 (1986) 93.
31. 1, Comm. Math. Phys. 104 (1986) 605.
32. 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].
33. P.A. Griffin and O.F. Hernandez, Feigin-fuchs derivation of SU(1, 1) parafermion characters, Nucl. Phys. B 356 (1991) 287.
34. N.Ja, Vilenkin and A.U. Klimyk, Representation of Lie groups and special functions, vol. 1. Kluwer Academic Publishers 1991.
35. T.H. Buscher, A symmetry of the string background field equations, Phys. Lett. B 194 (1987) 59; Path integral derivation of quantum duality in nonlinear sigma models, Phys. Lett. B 201 (1988) 466.
36. T.H. Buscher, A symmetry of the string background field equations, Phys. Lett. B 194 (1987) 59; Path integral derivation of quantum duality in nonlinear sigma models, Phys. Lett. B 201 (1988) 466.
37. G.T. Horowitz and D.L. Welch, Exact three-dimensional black holes in string theory, Phys. Rev. Lett. 71 (1993) 328 [hep-th/9302126].
38. P.D. Vecchia, J.L. Petersen and H.B. Zheng, N = 2 extended superconformal theories in two-dimensions, Phys. Lett. B 162 (1985) 327; S. Nam, The kac formula for the N = 1 and the N = 2 superconformal algebras, Phys. Lett. B 172 (1986) 323.
39. P.D. Vecchia, J.L. Petersen and H.B. Zheng, N = 2 extended superconformal theories in two-dimensions, Phys. Lett. B 162 (1985) 327; S. Nam, The kac formula for the N = 1 and the N = 2 superconformal algebras, Phys. Lett. B 172 (1986) 323.
40. W. Boucher, D. Friedan and A. Kent, Determinant formulae and unitarity for the N = 2 superconformal algebras in two-dimensions or exact results on string compactification, Phys. Lett. B 172 (1986) 316.
41. T. Eguchi and A. Taormina, On the unitary representations of N = 2 and N = 4 superconformal algebras, Phys. Lett. B 210 (1988) 125.
42. D. Kutasov and N. Seiberg, Noncritical superstrings, Phys. Lett. B 251 (1990) 67.
43. A. Strominger, Massless black holes and conifolds in string theory, Nucl. Phys. B 451 (1995) 96 [hep-th/9504090].
44. A. Hanany and I.R. Klebanov, On tensionless strings in 3 + 1 dimensions, Nucl. Phys. B 482 (1996) 105 [hep-th/9606136].
45. C.G. Callan Jr., J.A. Harvey and A. Strominger, Supersymmetric string salitons, hep-th/9112030.
46. M. Bershadsky, C. Vafa and V. Sadov, D-strings on D-manifolds, Nucl. Phys. B 463 (1996) 398 [hep-th/9510225].
47. F. Giani, M. Pernici and P. van Nieuwenhuizen, Gauged N = 4 D = 6 supergravity, Phys. Rev. D 30 (1984) 1680.
48. 4 gauged supergravity in six-dimensions, Nucl. Phys. B 269 (1986) 691.
49. 4, Class. and Quant. Grav. 2 (1985) 1.
50. P. Breitenlohner and D.Z. Freedman, Positive energy in anti-de Sitter backgrounds and gauged extended supergravity, Phys. Lett. B 115 (1982) 197; Stability in gauged extended supergravity, Ann. Phys. (NY) 144 (1982) 249.
51. P. Breitenlohner and D.Z. Freedman, Positive energy in anti-de Sitter backgrounds and gauged extended supergravity, Phys. Lett. B 115 (1982) 197; Stability in gauged extended supergravity, Ann. Phys. (NY) 144 (1982) 249.
52. D. Kutasov, Some properties of (non)critical strings, hep-th/9110041.
53. T. Eguchi and Y. Sugawara, Modular invariance in superstring on Calabi-Yau N-fold with ADE singularity, hep-th/0002100.