Branes in the euclidean AdS3

Journal of High Energy Physics

Volumn 6, Issue 2, 2002, Pages 337-391

  Ponsot, Bénédicte ^a   Schomerus, Volker ^b   Teschner, Joerg ^c  

^a ALBERT EINSTEIN INSTITUT   (Germany)

^b ECOLE NORMALE SUPÉRIEURE   (France)

^c FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

Bosonic Strings; Conformal Field Models in String Theory; D branes

Indexed keywords

EID: 23044485322     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2002/02/016     Document Type: Article

References (50)

1. O. Ahaxony, S.S. Gubser, J. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111].
2. E. Witten, On string theory and black holes, Phys. Rev. D 44 (1991) 314.
3. G.T. Horowitz and A. Strominger, Black strings and p-branes, Nucl. Phys. B 360 (1991) 197.
4. J.M. Maldacena and A. Strominger, Semiclassical decay of near-extremal fivebranes, J. High Energy Phys. 12 (1997) 008 [hep-th/9710014].
5. H. Ooguri and C. Vafa, Two-dimensional black hole and singularities of cy manifolds, Nucl. Phys. B 463 (1996) 55 [hep-th/9511164].
6. 3 and SL(2, ℝ) WZW model., 1. The spectrum, J. Math. Phys. 42 (2001) 2929 [hep-th/0001053].
7. 3 and the SL(2, ℝ) WZW model.,2. Euclidean black hole, J. Math. Phys. 42 (2001) 2961 [hep-th/0005183].
8. 3 and the SL(2,ℝ) WZW model., 3. Correlation functions, hep-th/0111180.
9. K. Gawȩdzki, Non-compact WZW conformal field theories, in Proceedings of NATO ASI, Cargèse 1991, J. Fröhlich, G.'t Hooft, A. Jaffe, G. Mack, P.K. Mitter, R. Stora, eds., Plenum Press, 1992, pp. 247-274.
10. +-WZNW model, Nucl. Phys. B 571 (2000) 555 [hep-th/9906215].
11. + WZNW model, Phys. Lett. B 521 (2001) 127 [hep-th/0108121].
12. 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].
13. V. Fateev, A.B. Zamolodchikov, Al.B. Zamolodchikov, unpublished.
14. 3 background, J. High Energy Phys. 09 (1999) 028 [hep-th/9901122].
15. A.Y. Alekseev and V. Schomerus, D-branes in the WZW model, Phys. Rev. D 60 (1999) 061901 [hep-th/9812193].
16. C. Bachas and M. Petropoulos, Anti-de Sitter D-branes, J. High Energy Phys. 02 (2001) 025 [hep-th/0012234].
17. G. Felder, J. Fröhlich, J. Fuchs and C. Schweigert, Conformal boundary conditions and three-dimensional topological field theory,Phys. Rev. Lett. 84 (2000) 1659 [hep-th/9909140].
18. 3, Nucl. Phys. B 615 (2001) 133 [hep-th/0106005].
19. 3, J. High Energy Phys. 10 (2001) 022 [hep-th/0109150].
20. 3, hep-th/0108001.
21. 2 branes, Nucl. Phys. B 610 (2001) 3 [hep-th/0106129].
22. 3 based on discrete series, hep-th/0107189.
23. 3 branes and boundary states, hep-th/0109200.
24. I.M. Gelfand, M.I. Graev, N.Ya. Vilenkin, Generalized functions, vol. 5, Academic Press 1966.
25. J. Teschner, The mini-superspace Kmit of the SL(2, ℂ)/SU(2)-WZNW model, Nucl. Phys. B 546 (1999) 369 [hep-th/9712258].
26. 3, J. High Energy Phys. 12 (1998) 026 [hep-th/9812046].
27. A.Yu. Alekseev, A. Recknagel and V. Schomerus, Non-commutative world-volume geometries: branes on SU(2) and fuzzy spheres, J. High Energy Phys. 09 (1999) 023 [hep-th/9908040].
28. A.Yu. Alekseev, A. Recknagel and V. Schomerus, Brane dynamics in background fluxes and non-commutative geometry, J. High Energy Phys. 05 (2000) 010 [hep-th/0003187].
29. J. Caxdy, D. Lewellen, Bulk And Boundary Operators In Conformal Field Theory, Phys. Lett. B 259 (1991) 274;
30. D.C. Lewellen, Sewing constraints for conformal field theories on surfaces with boundaries, Nucl. Phys. B 372 (1992) 654.
31. V. Eateev, A.B. Zamolodchikov and Al.B. Zamolodchikov, Boundary liouville field theory, 1. Boundary state and boundary two-point function, hep-th/0001012.
32. K. Schmudgen, An operator-theoretic approach to a cocycle problem in the complex plane, Bull. Lond. Math. Soc. 27 (1995) 341.
33. B. Ponsot and J. Teschner, Boundary liouville field theory: boundary three point function, Nucl. Phys. B 622 (2002) 309 [hep-th/0110244].
34. E.W. Barnes, Phil. Trans. Roy. Soc. A 196 (1901) 265.
35. J. Teschner, Liouville theory revisited, Class, and Quant. Grav. 18 (2001) R153 [hep-th/0104158].
36. I. Runkel, Boundary structure constants for the A serie Virasoro minimal models, Nucl. Phys. B 549 (1999) 563 [hep-th/9911178].
37. R.E. Behrend, P.A. Pearce, V.B. Petkova and J.-B. Zuber, Boundary conditions in rational conformal field theories, Nucl. Phys. B 570 (2000) 525 [hep-th/9908036].
38. J.L. Cardy, Boundary conditions, fusion rules and the VerKnde formula, Nucl. Phys. B 324 (1989) 581.
39. J. Teschner, Remarks on liouville theory with boundary, in proceedings of TMR-conference Nonperturbative quantum effects 2000, PRHEP-tmr2000/041 [hep-th/0009138].
40. A.B. Zamolodchikov and Al.B. Zamolodchikov, Liouville field theory on a pseudosphere, hep-th/0101152.
41. V. Kazakov, I.K. Kostov and D. Kutasov, A matrix model for the two-dimensional black hole, Nucl. Phys. B 622 (2002) 141 [hep-th/0101011].
42. O. De Wolfe, D.Z. Freedman and H. Ooguri, Holography and defect conformal field theories, hep-th/0111135.
43. C. Bachas, J. de Boer, R. Dijkgraaf and H. Ooguri, Permeable conformal walls and holography, hep-th/0111210.
44. N.N. Lebedev, Sur une formule d'inversion, Dokl. Akad. Nauk. SSSR 52 (1946) 665.
45. I.M. Gelfand, G.E. Shilov, Generalized functions, vol. 1. Academic Press, New York and London 1964.
46. V.S. Dotsenko, Lectures on conformal field theory, Adv. Stud. in Pure Math. 16 (1986) 123.
47. D.R. Yafaev, Mathematical scattering theory, Translations of Mathematical Monographs, 105. American Mathematical Society, Providence 1992.
48. A.B. Zamolodchikov and V.A. Fateev, Operator algebra and correlation functions in the two-dimensional Wess-Zumino SU(2) × SU(2) chiral model, Sov. J. Nucl. Phys. 43 (1986) 657.
49. G.W. Moore and N. Seiberg, Classical and quantum conformal field theory, Commun. Math. Phys. 123 (1989) 177.
50. J. Maldacena, G.W. Moore and N. Seiberg, Geometrical interpretation of D-branes in gauged WZW models, J. High Energy Phys. 07 (2001) 046 [hep-th/0105038].