Defects and permutation branes in the Liouville field theory

Nuclear Physics B

Volumn 821, Issue 3, 2009, Pages 607-625

  Sarkissian, Gor ^a  

^a UNIVERSITY OF HAMBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 68749117409     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2009.06.012     Document Type: Article

References (48)

1. Petkova V.B., and Zuber J.B. Generalised twisted partition functions. Phys. Lett. B 504 (2001) 157. arXiv:hep-th/0011021
2. Petkova V.B., and Zuber J.B. The many faces of Ocneanu cells. Nucl. Phys. B 603 (2001) 449. arXiv:hep-th/0101151
3. Graham K., and Watts G.M.T. Defect lines and boundary flows. JHEP 0404 (2004) 019. arXiv:hep-th/0306167
4. Frohlich J., Fuchs J., Runkel I., and Schweigert C. Kramers-Wannier duality from conformal defects. Phys. Rev. Lett. 93 (2004) 070601. arXiv:cond-mat/0404051
5. Frohlich J., Fuchs J., Runkel I., and Schweigert C. Duality and defects in rational conformal field theory. Nucl. Phys. B 763 (2007) 354. arXiv:hep-th/0607247
6. Schweigert C., and Tsouchnika E. Kramers-Wannier dualities for WZW theories and minimal models. arXiv:0710.0783 [hep-th]
7. Fuchs J., Runkel I., and Schweigert C. TFT construction of RCFT correlators. I: Partition functions. Nucl. Phys. B 646 (2002) 353. arXiv:hep-th/0204148
8. Runkel I. Perturbed defects and T-systems in conformal field theory. J. Phys. A 41 (2008) 105401. arXiv:0711.0102 [hep-th]
9. Bachas C., de Boer J., Dijkgraaf R., and Ooguri H. Permeable conformal walls and holography. JHEP 0206 (2002) 027. arXiv:hep-th/0111210
10. Bachas C., and Brunner I. Fusion of conformal interfaces. JHEP 0802 (2008) 085. arXiv:0712.0076 [hep-th]
11. Fuchs J., Gaberdiel M.R., Runkel I., and Schweigert C. Topological defects for the free boson CFT. J. Phys. A 40 (2007) 11403. arXiv:0705.3129 [hep-th]
12. Fuchs J., Schweigert C., and Waldorf K. Bi-branes: Target space geometry for world sheet topological defects. J. Geom. Phys. 58 (2008) 576. arXiv:hep-th/0703145
13. Runkel I., and Suszek R.R. Gerbe-holonomy for surfaces with defect networks. arXiv:0808.1419 [hep-th]
14. Sarkissian G., and Schweigert C. Some remarks on defects and T-duality. arXiv:0810.3159 [hep-th]
15. Zamolodchikov A.B., and Zamolodchikov A.B. Liouville field theory on a pseudosphere. arXiv:hep-th/0101152
16. Fateev V., Zamolodchikov A.B., and Zamolodchikov A.B. Boundary Liouville field theory. I: Boundary state and boundary two-point. arXiv:hep-th/0001012
17. Giveon A., Kutasov D., and Schwimmer A. Comments on D-branes in AdS(3). Nucl. Phys. B 615 (2001) 133. arXiv:hep-th/0106005
18. Ponsot B., Schomerus V., and Teschner J. Branes in the Euclidean AdS(3). JHEP 0202 (2002) 016. arXiv:hep-th/0112198
19. Lee P., Ooguri H., and Park J.w. Boundary states for AdS(2) branes in AdS(3). Nucl. Phys. B 632 (2002) 283. arXiv:hep-th/0112188
20. Teschner J. Remarks on Liouville theory with boundary. arXiv:hep-th/0009138
21. Recknagel A. Permutation branes. JHEP 0304 (2003) 041. arXiv:hep-th/0208119
22. Gaberdiel M.R., and Schafer-Nameki S. D-branes in an asymmetric orbifold. Nucl. Phys. B 654 (2003) 177. arXiv:hep-th/0210137
23. Fuchs J., Runkel I., and Schweigert C. Boundaries, defects and Frobenius algebras. Fortschr. Phys. 51 (2003) 850
24. Fuchs J., Runkel I., and Schweigert C. Boundaries, defects and Frobenius algebras. Ann. Henri Poincare 4 (2003) S175. arXiv:hep-th/0302200
25. Sarkissian G., and Zamaklar M. Symmetry breaking, permutation D-branes on group manifolds: Boundary states and geometric description. Nucl. Phys. B 696 (2004) 66. arXiv:hep-th/0312215
26. Cardy J.L. Boundary conditions, fusion rules and the Verlinde formula. Nucl. Phys. B 324 (1989) 581
27. Cardy J.L., and Lewellen D.C. Bulk and boundary operators in conformal field theory. Phys. Lett. B 259 (1991) 274
28. Lewellen D.C. Sewing constraints for conformal field theories on surfaces with boundaries. Nucl. Phys. B 372 (1992) 654
29. Pradisi G., Sagnotti A., and Stanev Y.S. Completeness conditions for boundary operators in 2D conformal field theory. Phys. Lett. B 381 (1996) 97. arXiv:hep-th/9603097
30. Behrend R.E., Pearce P.A., Petkova V.B., and Zuber J.B. Boundary conditions in rational conformal field theories. Nucl. Phys. B 570 (2000) 525
31. Behrend R.E., Pearce P.A., Petkova V.B., and Zuber J.B. Boundary conditions in rational conformal field theories. Nucl. Phys. B 579 (2000) 707. arXiv:hep-th/9908036
32. Runkel I. Boundary structure constants for the A-series Virasoro minimal models. Nucl. Phys. B 549 (1999) 563. arXiv:hep-th/9811178
33. Runkel I. Structure constants for the D-series Virasoro minimal models. Nucl. Phys. B 579 (2000) 561. arXiv:hep-th/9908046
34. Moore G.W., and Seiberg N. Classical and quantum conformal field theory. Commun. Math. Phys. 123 (1989) 177
35. Oshikawa M., and Affleck I. Boundary conformal field theory approach to the critical two-dimensional Ising model with a defect line. Nucl. Phys. B 495 (1997) 533. arXiv:cond-mat/9612187
36. Wong E., and Affleck I. Tunneling in quantum wires: A boundary conformal field theory approach. Nucl. Phys. B 417 (1994) 403
37. Teschner J. Liouville theory revisited. Class. Quantum Grav. 18 (2001) R153. arXiv:hep-th/0104158
38. Curtright T.L., and Thorn C.B. Conformally invariant quantization of the Liouville theory. Phys. Rev. Lett. 48 (1982) 1309
39. Curtright T.L., and Thorn C.B. Phys. Rev. Lett. 48 (1982) 1768 Erratum
40. Braaten E., Curtright T., and Thorn C.B. An exact operator solution of the quantum Liouville field theory. Ann. Phys. 147 (1983) 365
41. Braaten E., Curtright T., Ghandour G., and Thorn C.B. Nonperturbative weak coupling analysis of the quantum Liouville field theory. Ann. Phys. 153 (1984) 147
42. Kac V.G. Infinite Dimensional Lie Algebras (1990), Cambridge Univ. Press, Cambridge, UK 400 p
43. Dorn H., and Otto H.J. Two and three point functions in Liouville theory. Nucl. Phys. B 429 (1994) 375. arXiv:hep-th/9403141
44. Zamolodchikov A.B., and Zamolodchikov A.B. Structure constants and conformal bootstrap in Liouville field theory. Nucl. Phys. B 477 (1996) 577. arXiv:hep-th/9506136
45. Dotsenko V.S., and Fateev V.A. 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
46. Teschner J. On the Liouville three point function. Phys. Lett. B 363 (1995) 65. arXiv:hep-th/9507109
47. Martinec E.J. The annular report on non-critical string theory. arXiv:hep-th/0305148
48. Martinec E.J. Matrix models and 2D string theory. arXiv:hep-th/0410136