Novel construction of boundary states in coset conformal field theories

Nuclear Physics B

Volumn 649, Issue 1-2, 2003, Pages 205-242

  Ishikawa, Hiroshi ^a   Tani, Taro ^a  

^a TOHOKU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037454562     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(02)01011-8     Document Type: Article

References (55)

1. J.L. Cardy, Boundary conditions, fusion rules and the Verlinde formula, Nucl. Phys. B 324 (1989) 581.
2. J.L. Cardy, D.C. Lewellen, Bulk and boundary operators in conformal field theory, Phys. Lett. B 259 (1991) 274.
3. D.C. Lewellen, Sewing constraints for conformal field theories on surfaces with boundaries, Nucl. Phys. B 372 (1992) 654.
4. G. Pradisi, A. Sagnotti, Y.S. Stanev, Completeness conditions for boundary operators in 2D conformal field theory, Phys. Lett. B 381 (1996) 97, hep-th/9603097.
5. I. Runkel, Boundary structure constants for the A-series Virasoro minimal models, Nucl. Phys. B 549 (1999) 563, hep-th/9811178;
6. I. Runkel, Structure constants for the D-series Virasoro minimal models, Nucl. Phys. B 579 (2000) 561, hep-th/9908046.
7. J. Fuchs, C. Schweigert, Symmetry breaking boundaries. I: general theory, Nucl. Phys. B 558 (1999) 419, hep-th/9902132;
8. J. Fuchs, C. Schweigert, Symmetry breaking boundaries. II: more structures, examples, Nucl. Phys. B 568 (2000) 543, hep-th/9908025.
9. L. Birke, J. Fuchs, C. Schweigert, Symmetry breaking boundary conditions and WZW orbifolds, Adv. Theor. Math. Phys. 3 (1999) 671, hep-th/9905038.
10. R.E. Behrend, P.A. Pearce, V.B. Petkova, J.B. Zuber, Boundary conditions in rational conformal field theories, Nucl. Phys. B 570 (2000) 525;
11. R.E. Behrend, P.A. Pearce, V.B. Petkova, J.B. Zuber, Nucl. Phys. B 579 (2000) 707, hep-th/9908036.
12. G. Felder, J. Fröhlich, J. Fuchs, C. Schweigert, Conformal boundary conditions and three-dimensional topological field theory, Phys. Rev. Lett. 84 (2000) 1659, hep-th/9909140;
13. G. Felder, J. Fröhlich, J. Fuchs, C. Schweigert, Correlation functions and boundary conditions in RCFT and three-dimensional topology, hep-th/9912239.
14. I. Brunner, V. Schomerus, On superpotentials for D-branes in Gepner models, JHEP 0010 (2000) 016, hepth/0008194.
15. P. Di Francesco, J.B. Zuber, SU(N) Lattice integrable models associated with graphs, Nucl. Phys. B 338 (1990) 602.
16. T. Gannon, Boundary conformal field theory and fusion ring representations, Nucl. Phys. B 627 (2002) 506, hep-th/0106105.
17. P. Goddard, A. Kent, D.I. Olive, Virasoro algebras and coset space models, Phys. Lett. B 152 (1985) 88;
18. P. Goddard, A. Kent, D.I. Olive, Unitary representations of the Virasoro and super-Virasoro algebras, Commun. Math. Phys. 103 (1986) 105.
19. J. Maldacena, G.W. Moore, N. Seiberg, Geometrical interpretation of D-branes in gauged WZW models, JHEP 0107 (2001) 046, hep-th/0105038.
20. K. Gawȩdzki, Boundary WZW, G/H, G/G and CS theories, hep-th/0108044.
21. S. Elitzur, G. Sarkissian, D-branes on a gauged WZW model, Nucl. Phys. B 625 (2002) 166, hep-th/0108142.
22. S. Fredenhagen, V. Schomerus, D-branes in coset models, JHEP 0202 (2002) 005, hep-th/0111189.
23. H. Ishikawa, Boundary states in coset conformal field theories, Nucl. Phys. B 629 (2002) 209, hepth/0111230.
24. T. Kubota, J. Rasmussen, M.A. Walton, J.G. Zhou, Maximally symmetric D-branes in gauged WZW models, Phys. Lett. B 544 (2002) 192, hep-th/0112078.
25. M. Nozaki, Comments on D-branes in Kazama-Suzuki models and Landau-Ginzburg theories, JHEP 0203 (2002) 027, hep-th/0112221.
26. T. Quella, V. Schomerus, Symmetry breaking boundary states and defect lines, JHEP 0206 (2002) 028, hep-th/0203161.
27. S. Fredenhagen, V. Schomerus, On boundary RG-flows in coset conformal field theories, hep-th/0205011.
28. M.A. Walton, J.G. Zhou, D-branes in asymmetrically gauged WZW models and axial-vector duality, hepth/0205161.
29. T. Gannon, M.A. Walton, On the classification of diagonal coset modular invariants, Commun. Math. Phys. 173 (1995) 175, hep-th/9407055.
30. A.N. Schellekens, S. Yankielowicz, Extended chiral algebras and modular invariant partition functions, Nucl. Phys. B 327 (1989) 673;
31. A.N. Schellekens, S. Yankielowicz, Simple currents, modular invariants and fixed points, Int. J. Mod. Phys. A 5 (1990) 2903.
32. K.A. Intriligator, Bonus symmetry in conformal field theory, Nucl. Phys. B 332 (1990) 541.
33. M.R. Gaberdiel, T. Gannon, Boundary states for WZW models, Nucl. Phys. B 639 (2002) 471, hepth/0202067.
34. N. Ishibashi, The boundary and crosscap states in conformal field theories, Mod. Phys. Lett. A 4 (1989) 251.
35. E. Verlinde, Fusion rules and modular transformations in 2-D conformal field theory, Nucl. Phys. B 300 (1988) 360.
36. J. Fuchs, L.R. Huiszoon, A.N. Schellekens, C. Schwiegert, J. Walcher, Boundaries, crosscaps and simple currents, Phys. Lett. B 495 (2000) 427, hep-th/0007174.
37. F. Xu, New braided endomorphisms from conformal inclusions, Commun. Math. Phys. 192 (1998) 349.
38. J. Böckenhauer, D.E. Evans, Modular invariants, graphs and α-induction for nets of subfactors. I, Commun. Math. Phys. 197 (1998) 361, hep-th/980117;
39. J. Böckenhauer, D.E. Evans, Modular invariants, graphs and α-induction for nets of subfactors. II, Commun. Math. Phys. 200 (1999) 57, hep-th/9805023;
40. J. Böckenhauer, D.E. Evans, Modular invariants, graphs and α-induction for nets of subfactors. III, Commun. Math. Phys. 205 (1999) 183, hep-th/9812110.
41. J. Böckenhauer, D.E. Evans, Y. Kawahigashi, Chiral structure of modular invariants for subfactors, Commun. Math. Phys. 210 (2000) 733, math.OA/9907149;
42. J. Böckenhauer, D.E. Evans, Y. Kawahigashi, Longo-Rehren subfactors arising from α-induction, math.OA/0002154.
43. J. Fuchs, C. Schweigert, Solitonic sectors, α-induction and symmetry breaking boundaries, Phys. Lett. B 490 (2000) 163, hep-th/0006181.
44. A.N. Schellekens, N.P. Warner, Conformal subalgebras of Kac-Moody algebras, Phys. Rev. D 34 (1986) 3092.
45. F.A. Bais, P.G. Bouwknegt, A classification of subgroup truncations of the bosonic string, Nucl. Phys. B 279 (1987) 561.
46. D. Bernard, String characters from Kac-Moody automorphisms, Nucl. Phys. B 288 (1987) 628.
47. Y.S. Stanev, Classification of the local extension of the SU(2) × SU(2) chiral current algebras, J. Math. Phys. 36 (1995) 2070.
48. J. Fuchs, B. Schellekens, C. Schweigert, The resolution of field identification fixed points in diagonal coset theories, Nucl. Phys. B 461 (1996) 371, hep-th/9509105.
49. D.C. Dunbar, K.G. Joshi, Characters for coset conformal field theories, Int. J. Mod. Phys. A 8 (1993) 4103, hep-th/9210122;
50. D.C. Dunbar, K.G. Joshi, Maverick examples of coset conformal field theories, Mod. Phys. Lett. A 8 (1993) 2803, hep-th/9309093.
51. Y. Kazama, H. Suzuki, New N = 2 superconformal field theories and superstring compactification, Nucl. Phys. B 321 (1989) 232.
52. M.R. Gaberdiel, A. Recknagel, G.M. Watts, The conformal boundary states for SU(2) at level 1, Nucl. Phys. B 626 (2002) 344, hep-th/0108102.
53. M.R. Gaberdiel, A. Recknagel, Conformal boundary states for free bosons and fermions, JHEP 0111 (2001) 016, hep-th/0108238.
54. R.A. Janik, Exceptional boundary states at c = 1, Nucl. Phys. B 618 (2001) 675, hep-th/0109021.
55. L.S. Tseng, A note on c = 1 Virasoro boundary states and asymmetric shift orbifolds, JHEP 0204 (2002) 051, hep-th/0201254.