Strings in the extended BTZ spacetime

Journal of High Energy Physics

Volumn 6, Issue 10, 2002, Pages 95-128

  Hemming, Samuli ^a   Keski Vakkuri, Esko ^a   Kraus, Per ^b  

^a HELSINKI INSTITUTE OF PHYSICS   (Finland)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

AdS CFT and dS CFT Correspondence; Black Holes in String Theory; Conformal Field Models in String Theory

Indexed keywords

EID: 23044466025     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2002/10/006     Document Type: Article

References (46)

1. M. Bañados, C. Teitelboim and J. Zanelli, The black hole in three-dimensional space-time, Phys. Rev. Lett. 69 (1992) 1849 [hep-th/9204099];
2. 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].
3. G.T. Horowitz and D.L. Welch, Exact three-dimensional black holes in string theory, Phys. Rev. Lett. 71 (1993) 328 [hep-th/9302126].
4. N. Kaloper, Miens of the three-dimensional black hole, Phys. Rev. D 48 (1993) 2598 [hep-th/9303007].
5. M. Natsuume and Y. Satoh, String theory on three dimensional black holes, Int. J. Mod. Phys. A 13 (1998) 1229 [hep-th/9611041].
6. 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].
7. 3 and SL(2, ℝ) WZW model, 1, J. Math. Phys. 42 (2001) 2929 [hep-th/0001053].
8. M. Henningson, S. Hwang, P. Roberts and B. Sundborg, Modular invariance of SU(1, 1) strings, Phys. Lett. B 267 (1991) 350.
9. S. Hwang and P. Roberts, Interaction and modular invariance of strings on curved manifolds, hepth/9211075.
10. 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 (2002) 363 [hep-th/0110252].
11. 3, Adv. Theor. Math. Phys. 2 (1998) 733 [hep-th/9806194].
12. E.J. Martinec and W. McElgin, String theory on AdS orbifolds, J. High Energy Phys. 04 (2002) 029 [hep-th/0106171].
13. N, hepth/0107131.
14. E.J. Martinec and W. McElgin, Exciting AdS orbifolds, hepth/0206175.
15. 3 black holes, J. High Energy Phys. 09 (2002) 041 [hep-th/0206118].
16. S. Elitzur, A. Giveon, D. Kutasov and E. Rabinovici, From big bang to big crunch and beyond, J. High Energy Phys. 06 (2002) 017 [hep-th/0204189].
17. B. Craps, D. Kutasov and G. Rajesh, String propagation in the presence of cosmological singularities, J. High Energy Phys. 06 (2002) 053 [hep-th/0205101].
18. L. Cornalba, M.S. Costa and C. Kounnas, A resolution of the cosmological singularity with orientifolds, Nucl. Phys. B 637 (2002) 378 [hep-th/0204261].
19. G.T. Horowitz and D. Marolf, A new approach to string cosmology, J. High Energy Phys. 07 (1998) 014 [hep-th/9805207].
20. V. Balasubramanian, P. Kraus, A.E. Lawrence and S.P. Trivedi, Holographic probes of anti-de Sitter space-times, Phys. Rev. D 59 (1999) 104021 [hep-th/9808017].
21. B.G. Carneiro da Cunha, Three-dimensional de Sitter gravity and the correspondence, Phys. Rev. D 65 (2002) 104025 [hep-th/0110169].
22. J.M. Maldacena, Eternal black holes in anti-de Sitter, hepth/0106112.
23. 3 and the SL(2, ℝ) WZW model, 3. Correlation functions, Phys. Rev. D 65 (2002) 106006 [hep-th/0111180].
24. 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];
25. +-WZNW model, Nucl. Phys. B 571 (2000) 555 [hep-th/9906215].
26. V. Balasubramanian and P. Kraus, A stress tensor for anti-de Sitter gravity, Commun. Math. Phys. 208 (1999) 413 [hep-th/9902121].
27. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109].
28. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150].
29. E. Keski-Vakkuri, Bulk and boundary dynamics in BTZ black holes, Phys. Rev. D 59 (1999) 104001 [hep-th/9808037].
30. V. Balasubramanian, P. Kraus and A.E. Lawrence, Bulk vs. boundary dynamics in anti-de Sitter spacetime, Phys. Rev. D 59 (1999) 046003 [hep-th/9805171].
31. G. Lifschytz and M. Ortiz, Scalar field quantization on the (2+1)-dimensional black hole background, Phys. Rev. D 49 (1994) 1929 [gr-qc/9310008].
32. V. Balasubramanian, S.F. Hassan, E. Keski-Vakkuri and A. Naqvi, A space-time orbifold: a toy model for a cosmological singularity, hepth/0202187.
33. L. Cornalba and M.S. Costa, A new cosmological scenario in string theory, Phys. Rev. D 66 (2002) 066001 [hep-th/0203031].
34. N.A. Nekrasov, Milne universe, tachyons and quantum group, hepth/0203112.
35. J. Simon, The geometry of null rotation identifications, J. High Energy Phys. 06 (2002) 001 [hep-th/0203201].
36. H. Liu, G. Moore and N. Seiberg, Strings in a time-dependent orbifold, J. High Energy Phys. 06 (2002) 045 [hep-th/0204168].
37. A. Lawrence, On the instability of 3d null singularities, hepth/0205288.
38. M. Fabinger and J. McGreevy, On smooth time-dependent orbifolds and null singularities, hepth/0206196.
39. G.T. Horowitz and J. Polchinski, Instability of spacelike and null orbifold singularities, hepth/0206228.
40. 3 black holes and a stringy exclusion principle, J. High Energy Phys. 12 (1998) 005 [hep-th/9804085].
41. 3 and the SL(2, ℝ) WZW model, 2. Euclidean black hole, J. Math. Phys. 42 (2001) 2961 [hep-th/0005183].
42. 3, J. High Energy Phys. 12 (1998) 026 [hep-th/9812046].
43. 3, J. High Energy Phys. 04 (1999) 008 [hep-th/9903219].
44. L. Susskind and J. Uglum, String physics and black holes, Nucl. Phys. 45BC (Proc. Suppl.) (1996) 115 [hep-th/9511227].
45. U.H. Danielsson, E. Keski-Vakkuri and M. Kruczenski, Spherically collapsing matter in AdS, holography and shellons, Nucl. Phys. B 563 (1999) 279 [hep-th/9905227].
46. T.S. Evans, A. Gomez Nicola, R.J. Rivers and D.A. Steer, Transport coefficients and analytic continuation in dual 1+1 dimensional models at finite temperature, hepth/0204166.