String theory: Exact solutions, marginal deformations and hyperbolic spaces

Fortschritte der Physik

Volumn 55, Issue 2, 2007, Pages 161-282

  Orlando, Domenico ^a  

^a CENTRE DE PHYSIQUE THÉORIQUE   (France)

Author keywords

Conformal field models in string theory; p branes; Superstring vacua

Indexed keywords

EID: 33846972638     PISSN: 00158208     EISSN: 15213978     Source Type: Journal    
DOI: 10.1002/prop.200610333     Document Type: Article

References (123)

1. D. Israël, C. Kounnas, D. Orlando, and P. M. Petropoulos, Electric / magnetic deformations of s**3 and ads(3), and geometric cosets, Fortschr. Phys. 53, 73-104 (2005). [hep-th/0405213].
2. D. Israel, C. Kounnas, D. Orlando, and P. M. Petropoulos, Heterotic strings on homogeneous spaces, Fortschr. Phys. 53, 1030-1071 (2005). [hep-th/0412220].
3. D. Orlando, Ads(2) × s**2 as an exact heterotic string background, hep-th/0502213. Talk given at NATO Advanced Study Institute and EC Summer School on String Theory: From Gauge Interactions to Cosmology, Cargese, France, 7-19 Jun 2004.
4. S. Detournay, D. Orlando, P.M. Petropoulos, and P. Spindel, Three-dimensional black holes from deformed anti de sitter, J. High Energy Phys. 07, (2005). 072, [hep-th/0504231].
5. D. Orlando, Coset models and d-branes in group manifolds, hep-th/ 0511210.
6. D. Orlando, P. M. Petropoulos, and K. Sfetsos, Renormalization-group flows and charge transmutation in string theory, Fortschr. Phys. 54, 453-461 (2006). [hep-th/0512086].
7. E. Witten, Nonabelian bosonization in two dimensions, Commun. Math. Phys. 92, 455-472 (1984).
8. V. G. Knizhnik and A. B. Zamolodchikov, Current algebra and Wess-Zumino model in two dimensions, Nucl. Phys. B 247, 83-103 (1984).
9. H. Leutwyler and M. A. Shifman, Perturbation theory in the Wess-Zumino-Novikov-Witten model, Int. J. Mod. Phys. A7, 795-842 (1992).
10. A.A. Tseytlin, Effective action of gauged wzw model and exact string solutions, Nucl. Phys. B 399, 601-622, [hep-th/9301015].
11. A.M. Polyakov and P.B. Wiegmann, Theory of nonabelian Goldstone bosons in two dimensions, Phys. Lett. B131, 121-126 (1983).
12. A.M. Polyakov, Two-dimensional quantum gravity: Superconductivity at high t/c, in: Les Mouches 1988, Proceedings, Fields, strings and critical phenomena, pp. 305-368.
13. H. Sugawara, A field theory of currents, Phys. Rev. 170, 1659-1662 (1968).
14. C.M. Sommerfield, Currents as dynamical variables, Phys. Rev. 176, 2019-2025 (1968).
15. Y. Kazama and H. Suzuki, New N = 2 superconformal field theories and superstring compactification, Nucl. Phys. B321 232 (1989).
16. J. Callan, G. Curtis, E. J. Martinec, M.J. Perry, and D. Friedan, Strings in background fields, Nucl. Phys. B 262 593 (1985).
17. A.A. Tseytlin, Exact solutions of closed string theory, Class. Quant. Grav. 12, 2365-2410 (1995). [hep-th/9505052].
18. S. Chaudhuri and J. A. Schwartz, A criterion for integrably marginal operators, Phys. Lett. B219, 291 (1989).
19. S. Förste and D. Roggenkamp, Current current deformations of conformal field theories, and wzw models, J. High Energy Phys. 05, 071 (2003). [hep-th/0304234].
20. D. Gepner and Z. -a. Qiu, Modular invariant partition functions for parafermionic field theories, Nucl. Phys. B285, 423 (1987).
21. D. Gepner, New conformal field theories associated with Lie algebras and their partition functions, Nucl. Phys. B 290, 10 (1987).
22. S. F. Hassan and A. Sen, Marginal deformations of wznw and coset models from o(d,d) transformation, Nucl. Phys. B405, 143-165 (1993). [hep-th/9210121].
23. A. Giveon and E. Kiritsis, Axial vector duality as a gauge symmetry and topology change in string theory, Nucl. Phys. B411, 487-508 (1994). [hep-th/9303016].
24. S. Förste, A truly marginal deformation of sl(2, r) in a null direction, Phys. Lett. B338, 36-39 (1994). [hep-th/9407198].
25. A.A. Tseytlin, Conformal sigma models corresponding to gauged Wess-Zumino- Witten theories, Nucl. Phys. B 411, 509-558 (1994) [hep-th/9302083].
26. G.T. Horowitz and A.A. Tseytlin, A new class of exact solutions in string theory, Phys. Rev. D 51, 2896-2917 (1995). [hep-th/9409021].
27. M. Nakahara, Geometry, topology and physics, Bristol, UK: Hilger (1990) 505 p. (Graduate student series in physics).
28. S. Kobayashi and K. Nomizu, Foundations of Differential Geometry. Wyley, 1969.
29. F. Mueller-Hoissen and R. Stuckl, Coset spaces and ten-dimensional unified theories, Class. Quant. Grav. 5, 27 (1988).
30. A. Borel and F. Hirzebruch, Characteristic classes and homogeneous spaces. I, Amer. J. Math. 80, 458 (1958).
31. A.M. Perelomov, Chiral models: Geometrical aspects, Phys. Rept. 146, 135-213 (1987).
32. M. Byrd, The geometry of su(3), physics/9708015.
33. E. Kiritsis, Character formulae and the structure of the representations of the N = 1, N = 2 superconformal algebras, Int. J. Mod. Phys. A3, 1871 (1988).
34. V. K. Dobrev, Characters of the unitarizable highest weight modules over the N = 2 superconformal algebras, Phys. Lett. 8186, 43 (1987).
35. Y. Matsuo, Character formula of c < 1 unitary representation of N = 2 superconformal algebra, Prog. Theor. Phys. 77, 793 (1987).
36. F. Ravanini and S. -K. Yang, Modular invariance in n = 2 superconformal field theories, Phys. Lett. B195, 202 (1987).
37. P. Berglund, C.V. Johnson, S. Kachru, and P. Zaugg, Heterotic coset models and (0,2) string vacua, Nucl. Phys. B 460, 252-298 (1996) [hep-th/9509170].
38. Y. Kazama and H. Suzuki, Characterization of N = 2 superconformal models generated by coset space method, Phys. Lett. B 216, 112 (1989).
39. D. Gepner, Space-time supersymmetry in compactified string theory and superconformal models, Nucl. Phys. B 296 757 (1988).
40. T. Eguchi, Y. Sugawara, and S. Yamaguchi, Supercoset cft's for string theories on non-compact special holonomy manifolds, Nucl. Phys. B 657, 3-52 (2003). [hep-th/0301164].
41. T. Quella and V. Schomerus, Asymmetric cosets, J. High Energy Phys. 02,030 (2003). [hep-th/ 0212119].
42. E. Witten, On string theory and black holes, Phys. Rev. D 44 314-324 (1991).
43. C.V. Johnson, Heterotic coset models, Mod. Phys. Lett. A 10, 549-560 (1995). [hep-th/9409062].
44. E. Kiritsis and C. Kounnas, Infrared behavior of closed superstrings in strong magnetic and gravitational fields, Nucl. Phys. B 456, 699-731 (1995). [hep-th/9508078].
45. C. Bachas and E. Kiritsis, Exact string theory instantons by dimensional reduction, Phys. Lett. B 325, 103-114 (1994). [hep-th/9311185].
46. D. Kutasov, F. Larsen, and R. G. Leigh, String theory in magnetic monopole backgrounds, Nucl. Phys. B 550, 183-213(1999). [hep-th/9812027].
47. D. Israël, C. Kounnas, and M. P. Petropoulos, Superstrings on ns5 backgrounds, deformed ads(3) and holography J. High Energy Phys. 10, 028 (2003). [hep-th/0306053].
48. R. Dijkgraaf, H. Verlinde, and E. Verlinde, String propagation in a black hole geometry, Nucl. Phys. B 371, 269-314 (1992).
49. M. Rooman and P. Spindel, Goedel metric as a squashed anti-de sitter geometry, Class. Quant. Grav. 15, 3241-3249 (1998). [gr-qc/9804027].
50. M. J. Reboucas and J. Tiomno, On the homogeneity of Riemannian space-times of godel type, Phys. Rev. D 28, 1251-1264 (1983).
51. D. Israël, Quantization of heterotic strings in a Gödel/anti de Sitter spacetime and chronology protection, J. High Energy Phys. 01, 042 (2004). [hep-th/0310158].
52. N. Drukker, B. Fiol, and J. Simon, Goedel's universe in a supertube shroud, Phys. Rev. Lett. 91, 231601, (2003). [hep-th/0306057].
53. N. J. Vilenkin and A. Klimyk, Representation of Lie groups and special functions. Kluwer Academic Publishers, Dordrecht, 1991.
54. J. M. Maldacena and H. Ooguri, Strings in AdS(3) and SL(2,R) WZW model. I, J. Math. Phys. 42, 2929-2960 (2001). [hep-th/0001053].
55. P.M.S. Petropoulos, Comments on su(1,1) string theory, Phys. Lett. B 236, 151 (1990).
56. K. Gawedzki, Noncompact wzw conformal field theories, hep-th/9110076.
57. J. Teschner, On structure constants and fusion rules in the sl(2,c)/su(2) wznw model, Nucl. Phys. B 546, 390-422 (1999). [hep-th/9712256].
58. D. Youm, Black holes and solitons in string theory, Phys. Rept. 316, 1-232 (1999) [hep-th/9710046].
59. S. Ferrara, R. Kallosh, and A. Strominger, N = 2 extremal black holes, Phys. Rev. D 52, 5412-5416 (1995). [hep-th/9508072].
60. N. Berkovits, M. Bershadsky, T. Hauer, S. Zhukov, and B. Zwiebach, Superstring theory on AdS(2) × S(2) as a coset supermanifold, Nucl. Phys. B 567, 61-86 (2000). [hep-th/9907200].
61. H. Verlinde, Superstrings on ads(2) and superconformal matrix quantum mechanics, hep-th/0403024.
62. J. M. Maldacena, The large N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2, 231-252(1998). [hep-th/9711200].
63. H. J. Boonstra, B. Peeters, and K. Skenderis, Brane intersections, anti-de Sitter spacetimes and dual superconformal theories, Nucl. Phys. B 533 127-162 (1998). [hep-th/9803231].
64. P. Claus et. al., Black holes and superconformal mechanics, Phys. Rev. Lett. 81, 4553-4556 (1998). [hep-th/9804177].
65. G.W. Gibbons and P.K. Townsend, Black holes and calogero models, Phys. Lett. B 454 187-192 (1999). [hep-th/9812034].
66. M. Cadoni, P. Carta, D. Klemm, and S. Mignemi, Ads(2) gravity as conformally invariant mechanical system, Phys. Rev. D63 125021 (2001). [hep-th/0009185].
67. J.H. Home and G.T. Horowitz, Exact black string solutions in three-dimensions, Nucl. Phys. B 368 444-462 (1992). [hep-th/9108001].
68. D. Gershon, Exact solutions of four-dimensional black holes in string theory, Phys. Rev. D 51, 4387-4393 (1995). [hep-th/9202005].
69. P. Horava, Some exact solutions of string theory in four-dimensions and five-dimensions, Phys. Lett. B 278 101-110 (1992). [hep-th/9110067].
70. C. Klimcik and A.A. Tseytlin, Exact four-dimensional string solutions and toda like sigma models from 'null gauged' wznw theories, Nucl. Phys. B 424, 71-96 (1994). [hep-th/9402120].
71. J.H. Home, G.T. Horowitz, and A.R. Steif, An equivalence between momentum and charge in string theory, Phys. Rev. Lett. 68 568-571 (1992) [hep-th/9110065].
72. G.T. Horowitz and D.L. Welch, Exact three-dimensional black holes in string theory, Phys. Rev. Lett. 71, 328-331 (1993). [hep-th/9302126].
73. W. Israel, Event horizons in static vacuum space-times, Phys. Rev. 164, 1776-1779 (1967).
74. M. Heusler, Stationary black holes: Uniqueness and beyond, Living Rev. Rel. 1 6 (1998).
75. G.W. Gibbons, D. Ida, and T. Shiromizu, Uniqueness and non-uniqueness of static black holes in higher dimensions, Phys. Rev. Lett. 89, 041101 (2002). [hep-th/0206049].
76. R. Gregory and R. Laflamme, Black strings and p-branes are unstable, Phys. Rev. Lett. 70 2837-2840 (1993). [hep-th/9301052].
77. K. Sfetsos, Conformally exact results for sl(2,r) × so(1,1)(d-2) / so(1,1) coset models, Nucl. Phys. B 389, 424-444(1993). [hep-th/9206048].
78. G. Barnich and F. Brandt, Covariant theory of asymptotic symmetries, conservation laws and central charges, Nucl. Phys. B 633, 3-82 (2002). [hep-th/0111246].
79. M. Banados, C. Teitelboim, and J. Zanelli, The black hole in three-dimensional space-time, Phys. Rev. Lett. 69,1849-1851 (1992). [hep-th/9204099].
80. M. Banados, M. Henneaux, C. Teitelboim, and J. Zanelli, Geometry of the (2+1) black hole, Phys. Rev. D 48 1506-1525 (1993). [gr-qc/9302012].
81. M. Natsuume and Y. Satoh, String theory on three dimensional black holes, Int. J. Mod. Phys. A13, 1229-1262 (1998). [hep-th/9611041].
82. S. Hemming and E. Keski-Vakkuri, The spectrum of strings on BTZ black holes and spectral flow in the SL(2,R) WZW model, Nucl. Phys. B 626, 363-376 (2002). [hep-th/0110252].
83. O. Coussaert and M. Henneaux, Self-dual solutions of 2+1 einstein gravity with a negative cosmological constant, hep-th/9407181.
84. M. Atiyah and E. Witten, M-theory dynamics on a manifold of g(2) holonomy, Adv. Theor. Math. Phys. 6, 1-106 (2003). [hep-th/0107177].
85. J. Gates, S. J. C. M. Hull], and M. Rocek, Twisted multiplets and new supersymmetric nonlinear sigma models, Nucl. Phys. B 248, 157 (1984).
86. J. Callan, G. Curtis, J. A. Harvey, and A. Strominger, World sheet approach to heterotic instantons and solitons, Nucl. Phys. B 359, 611-634 (1991).
87. C. Kounnas, M. Porrati, and B. Rostand, On n = 4 extended superliouville theory, Phys. Lett. B 258, 61-69 (1991).
88. A. Giveon, D. Kutasov, and O. Pelc, Holography for non-critical superstrings, J. High Energy Phys. 10, 035 (1999). [hep-th/9907178].
89. A. Giveon and D. Kutasov, Little string theory in a double scaling limit, J. High Energy Phys. 10, 034 (1999). [hep-th/9909110].
90. D. Israël, C. Kounnas, A. Pakman, and J. Troost, The partition function of the supersymmetric two-dimensional black hole and little string theory, J. High Energy Phys. 06, 033 (2004). [hep-th/0403237].
91. T. Eguchi and Y. Sugawara, Cft description of string theory compactified on non- compact manifolds with g(2) holonomy, Phys. Lett. B 519, 149-158 (2001). [hep-th/0108091].
92. R. Argurio, A. Giveon, and A. Shomer, Superstring theory on ads(3) × g/h and boundary n = 3 superconformal symmetry, J. High Energy Phys. 04, 010 (2000). [hep-th/0002104].
93. K.S. Stelle, Bpsbranesin supergravity, hep-th/9803116.
94. T. H. Buscher, A symmetry of the string background field equations, Phys. Lett. B 194, 59 (1987).
95. M.J. Duff, H. Lu, and C.N. Pope, Ads(5) × s(5) untwisted, Nucl. Phys. B 532, 181-209 (1998). [hep-th/9803061].
96. M. J. Duff, H. Lu, and C. N. Pope, Ads(3) × s**3 (un)twisted and squashed, and an o(2,2,z) multiplet of dyonic strings, Nucl. Phys. B 544, 145-180 (1999). [hep-th/9807173].
97. H. Lu and C.N. Pope, p-brane solitons in maximal supergravities, Nucl. Phys. B 465, 127-156 (1996). [hep-th/9512012].
98. H. Lu, C. N. Pope, and K. S. Stelle, Weyl group invariance and p-brane multiplets, Nucl. Phys. B 476, 89-117 (1996). [hep-th/9602140].
99. H. Osborn, General bosonic sigma models and string effective actions, Ann. Phys. 200, 1 (1990).
100. L. Alvarez-Gaume, D.Z. Freedman, and S. Mukhi, The background field method and the ultraviolet structure of the supersymmetric nonlinear sigma model, Ann. Phys. 134, 85 (1981).
101. D. H. Friedan, Nonlinear models in two + epsilon dimensions, Ann. Phys. 163, 318 (1985).
102. D. Friedan, Nonlinear models in two epsilon dimensions, Phys. Rev. Lett. 45, 1057 (1980).
103. E. Braaten, T.L. Curtright, and C.K. Zachos, Torsion and geometrostasis in nonlinear sigma models, Nucl. Phys. B 260, 630 (1985).
104. C. M. Hull and P. K. Townsend, The two loop beta function for sigma models with torsion, Phys. Lett. B 191, 115 (1987).
105. J. Balog, P. Forgacs, Z. Horvath, and L. Palla, Perturbative quantum (in)equivalence of dual sigma models in two-dimensions, Nucl. Phys. Proc. Suppl. 49, 16-26 (1996). [hep-th/9601091].
106. J. Balog, P. Forgacs, N. Mohammedi, L. Palla, and J. Schnittger, On quantum t-duality in sigma models, Nucl. Phys. B 535, 461-482 (1998). [hep-th/9806068].
107. K. Sfetsos, Poisson-Lie t-duality beyond the classical level and the renormalization group, Phys. Lett. B 432, 365-375 (1998). [hep-th/9803019].
108. K. Sfetsos, Duality-invariant class of two-dimensional field theories, Nucl. Phys. B 561, 316-340 (1999). [hep-th/9904188].
109. A.B. Zamolodchikov, 'irreversibility' of the flux of the renormalization group in a 2-d field theory, JETP Lett. 43, 730-732 (1986).
110. M. Gutperle, M. Headrick, S. Minwalla, and V. Schomerus, Space-time energy decreases under world-sheet rg flow, J. High Energy Phys. 01, 073 (2003). [hep-th/0211063].
111. A.A. Tseytlin, Dilaton, winding modes and cosmological solutions, Class. Quant. Grav. 9, 979-1000 (1992). [hep-th/9112004].
112. A.A. Tseytlin, Cosmological solutions with dilaton and maximally symmetric space in string theory, Int. J. Mod. Phys. D 1, 223-245 (1992). [hep-th/9203033].
113. D.S. Goldwirth and M.J. Perry, String dominated cosmology, Phys. Rev. D 49, 5019-5025 (1994). [hep-th/9308023].
114. E. J. Copeland, A. Lahiri, and D. Wands, Low-energy effective string cosmology, Phys. Rev. D 50, 4868-4880 (1994). [hep-th/9406216].
115. I. Antoniadis, C. Bachas, J. R. Ellis, and D. V. Nanopoulos, An expanding universe in string theory, Nucl. Phys. 8328, 117-139 (1989).
116. L. A. Pando-Zayas and A. A. Tseytlin, Conformal sigma models for a class of t(p,q) spaces, Class. Quant. Grav. 17, 5125-5131 (2000). [hep-th/0007086].
117. O. DeWolfe, D.Z. Freedman, S. S. Gubser, G.T. Horowitz, and I. Mitra, Stability of ads(p) × m(q) compactifications without supersymmetry, Phys. Rev. D65, 064033 (2002). [hep-th/0105047].
118. J.M. Maldacena and C. Nunez, Supergravity description of field theories on curved manifolds and a no go theorem, Int. J. Mod. Phys. A 16, 822-855 (2001). [hep-th/0007018].
119. A. Saltman and E. Silverstein, A new handle on de sitter compactifications, J. High Energy Phys. 01, 139 (2006). [hep-th/0411271].
120. S. Gnutzmann and M. Kuś, Coherent states and the classical limit on irreducible su (3) representations, J.Phys. A 31, 9871 (1998).
121. K.-I. Kondo and Y. Taira, Non-abelian stokes theorem and quark confinement in SU(N) yang-mills gauge theory, Prog. Theor. Phys. 104, 1189-1265 (2000). [hep-th/9911242].
122. E. Kiritsis, C. Kounnas, P.M. Petropoulos, and J. Rizos, Five-brane configurations, conformal field theories and the strong-coupling problem, hep- th/0312300.
123. A. Giveon, A. Konechny, A. Pakman, and A. Sever, Type 0 strings in a 2-d black hole, J. High Energy Phys. 10, 025(2003). [hep-th/0309056].