On the crossing relation in the presence of defects

Journal of High Energy Physics

Volumn 2010, Issue 4, 2010, Pages

  Petkova, V B ^a  

^a INSTITUTE FOR NUCLEAR RESEARCH AND NUCLEAR ENERGY   (Bulgaria)

Author keywords

Boundary Quantum Field Theory; Conformal and W Symmetry; Field Theories in Lower Dimensions

Indexed keywords

EID: 77954896777     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP04(2010)061     Document Type: Article

References (34)

1. V.B. Petkova and J.-B. Zuber, Generalised twisted partition functions, Phys. Lett. B 504 (2001) 157 [hep-th/0011021] [SPIRES].
2. V.B. Petkova and J.-B. Zuber, The many faces of Ocneanu cells, Nucl. Phys. B 603 (2001) 449 [hep-th/0101151] [SPIRES].
3. G.W. Moore and N. Seiberg, Classical and quantum conformal field theory, Commun. Math. Phys. 123 (1989) 177 [SPIRES].
4. G.W. Moore and N. Seiberg, Lectures on RCFT, physics, geometry and topology, Plenum Press, New York U.S.A. (1990).
5. L.F. Alday, D. Gaiotto, S. Gukov, Y. Tachikawa and H. Verlinde, Loop and surface operators in N = 2 gauge theory and Liouville modular geometry, JHEP 01 (2010) 113 [arXiv:0909.0945] [SPIRES].
6. N. Drukker, J. Gomis, T. Okuda and J. Teschner, Gauge theory loop operators and Liouville theory, JHEP 02 (2010) 057 [arXiv:0909.1105] [SPIRES].
7. J. Fröhlich, J. Fuchs, I. Runkel and C. Schweigert, Kramers-Wannier duality from conformal defects, Phys. Rev. Lett. 93 (2004) 070601 [cond-mat/0404051] [SPIRES].
8. J. Fröhlich, J. Fuchs, I. Runkel and C. Schweigert, Duality and defects in rational conformal field theory, Nucl. Phys. B 763 (2007) 354 [hep-th/0607247] [SPIRES].
9. I. Runkel, Perturbed defects and T-systems in conformal field theory, J. Phys. A 41 (2008) 105401 [arXiv:0711.0102] [SPIRES].
10. C. Bachas and M. Gaberdiel, Loop operators and the Kondo problem, JHEP 11 (2004) 065 [hep-th/0411067] [SPIRES].
11. A. Alekseev and S. Monnier, Quantization of Wilson loops in Wess-Zumino-Witten models, JHEP 08 (2007) 039 [hep-th/0702174] [SPIRES].
12. J. Gomis, Loops and defects in 4D gauge theories and 2D CFT's, talk given at the Workshop on Interfaces and Wall-crossings, November 30-December 4, Munich, Germany (2009).
13. J.L. Cardy, Boundary conditions, fusion rules and the Verlinde formula, Nucl. Phys. B 324 (1989) 581 [SPIRES].
14. R.E. Behrend, P.A. Pearce, V.B. Petkova and J.-B. Zuber, Boundary conditions in rational conformal field theories, Nucl. Phys. B 579 (2000) 707 [hep-th/9908036] [SPIRES].
15. A. Ocneanu, Paths on Coxeter diagrams: from platonic solids and singularities to minimal models and subfactors (Notes recorded by S. Goto), in Lectures on operator theory, eds. B.V. Rajarama Bhat et al., Fields Institute Monographs, AMS Publications (1999), pag. 243.
16. V.G. Kac, Laplace operators in modules of infinite-dimensional Lie algebras and theta functions, Proc. Natl. Acad. Sci. U.S.A. 81 (1984) 645.
17. B.L. Feigin and D.B. Fuks, Casimir operators in modules over Virasoro algebra, Sov. Math. Dokl. 27 (1983) 465.
18. E. Verlinde, Fusion rules and modular transformations in 2D conformal field theory, Nucl. Phys. B 300 (1988) 360.
19. A. Zamolodchikov and Al. Zamolodchikov, Liouville field theory on a pseudosphere, hep-th/0101152 [SPIRES].
20. V. Fateev, A. Zamolodchikov and Al. Zamolodchikov, Boundary Liouville field theory. I: boundary state and boundary two-point function, hep-th/0001012 [SPIRES].
21. G. Sarkissian, Defects and permutation branes in the Liouville field theory, Nucl. Phys. B 821 (2009) 607 [arXiv:0903.4422] [SPIRES].
22. L.F. Alday, D. Gaiotto and Y. Tachikawa, Liouville correlation functions from four-dimensional gauge theories, Lett. Math. Phys. 91 (2010) 167 [arXiv:0906.3219] [SPIRES].
23. I. Runkel, Boundary structure constants for the A-series Virasoro minimal models, Nucl. Phys. B 549 (1999) 563 [hep-th/9811178] [SPIRES].
24. J.L. Cardy and D.C. Lewellen, Bulk and boundary operators in conformal field theory, Phys. Lett. B 259 (1991) 274 [SPIRES].
25. D.C. Lewellen, Sewing constraints for conformal field theories on surfaces with boundaries, Nucl. Phys. B 372 (1992) 654 [SPIRES].
26. B. Ponsot and J. Teschner, Liouville bootstrap via harmonic analysis on a noncompact quantum group, hep-th/9911110 [SPIRES].
27. q(sl(2,R)), Commun. Math. Phys. 224 (2001) 613 [math/0007097].
28. B. Ponsot and J. Teschner, Boundary Liouville field theory: boundary three point function, Nucl. Phys. B 622 (2002) 309 [hep-th/0110244] [SPIRES].
29. P. Furlan, V.B. Petkova and M. Stanishkov, Non-critical string pentagon equations and their solutions, J. Phys. A 42 (2009) 304016 [arXiv:0805.0134] [SPIRES].
30. K. Hosomichi, Bulk-boundary propagator in Liouville theory on a disc, JHEP 11 (2001) 044 [hep-th/0108093] [SPIRES].
31. B. Ponsot, Remarks on the bulk-boundary structure constant in Liouville field theory, unpublished preliminary manuscript (private communication) (2005).
32. M. Nishizawa and K. Ueno, Integral solutions of q-difference equations of the hypergeometric type with |q| = 1, q-alg/9612014
33. V. Pasquier, Operator content of the ADE lattice models, J. Phys. A 20 (1987) 5707.
34. V.B. Petkova and J.-B. Zuber, On structure constants of sl(2) theories, Nucl. Phys. B 438 (1995) 347 [hep-th/9410209] [SPIRES].