Kazhdan-Lusztig-dual quantum group for logarithimic extensions of Virasoro minimal models

Journal of Mathematical Physics

Volumn 48, Issue 3, 2007, Pages

  Feigin, B L ^a   Gainutdinov, A M ^b   Semikhatov, A M ^b   Tipunin, I Yu ^b  

^a LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

^b LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34047164902     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2423226     Document Type: Article

References (35)

1. T. Kerler and V. V. Lyubashenko, Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners, Springer Lecture Notes in Mathematics Vol. 1765 (Springer-Verlag, Berlin, 2001).
2. J. Fuchs, S. Hwang, A. M. Semikhatov, and I. Yu. Tipunin, Commun. Math. Phys. 247, 713 (2004), e-print hep-th/0306274.
3. M. Miyamoto, e-print math.QA/0209101.
4. Y.-Z. Huang, J. Lepowsky, and L. Zhang, e-print math.QA/0311235.
5. B. L. Feigin, A. M. Gainutdinov, A. M. Semikhatov, and I. Yu. Tipunin, Commun. Math. Phys. 265, 47 (2006), e-print hep-th/0504093.
6. M. Flohr and M. R. Gaberdiel, e-print, hep-th/0509075.
7. B. L. Feigin, A. M. Gainutdinov, A. M. Semikhatov, and I. Yu. Tipunin, e-print math.QA/0512621.
8. J. Fuchs, e-print hep-th/0602051.
9. J. Cardy, J. Phys. A 25, L201 (1992), e-print hep-th/9111026.
10. G. Watts, J. Phys. A 29, L363 (1996), e-print cond-mat/9603167.
11. H. Saleur and B. Duplantier, Phys. Rev. Lett. 58, 2325 (1987).
12. D. Kazhdan and G. Lusztig, J. Am. Math. Soc. 6, 905 (1993);
13. 6, 949 (1993);
14. 7, 335 (1994);
15. 7, 383 (1994).
16. G. Felder, Nucl. Phys. 317, 215 (1989).
17. P. Bouwknegt, J. McCarthy, and K. Pilch, Lett. Math. Phys. 23, 193 (1991), e-print hep-th/9108023.
18. M. A. I. Flohr, Int. J. Mod. Phys. A 11, 4147 (1996), e-print hep-th/9509166.
19. M. Flohr, Int. J. Mod. Phys. A 12, 1943 (1997), e-print hep-th/9605151.
20. V. Lyubashenko, Commun. Math. Phys. 172, 467 (1995), e-print hep-th/9405167;
21. Symposia Gaussiana, Proceedings of the Seconnd Gauss Symposium, Munich, 1993, Conference A (de Gruyter, Berlin, 1995), pp. 529-579, e-print hep-th/9405168;
22. J. Pure Appl. Algebra 98, 279 (1995).
23. V. Lyubashenko and S. Majid, J. Algebra 166, 506 (1994).
24. T. Kerler, Commun. Math. phys. 168, 253 (1995), e-print hep-th/9402017.
25. A. Lachowska, e-print math.QA/0107098.
26. V. G. Drinfeld, Leningrad Math. J. 1, 321 (1990).
27. B. L. Feigin, A. M. Gainutdinov, A. M. Semikhatov, and I. Yu. Tipunin, Nucl. Phys. B 757, 303 (2006), e-print hep-th/0606196.
28. J. L. Cardy, Nucl. Phys. B 324, 581 (1989).
29. R. G. Larson and M. E. Sweedler, Am. J. Math. 91, 75 (1969).
30. D. E. Radford, Am. J. Math. 98, 333 (1976).
31. C. Kassel, Quantum Groups (Springer-Verlag, New York, 1995).
32. V. Chari and A. Pressley, A Guide to Quantum Groups (Cambridge University Press, Cambridge, 1994).
33. M. E. Sweedler, Hopf Algebras (Benjamin, New York 1969).
34. D. E. Radford, J. Algebra 163, 583 (1994).
35. N. Yu. Reshetikhin and M. A. Semenov-Tian-Shansky, J. Geom. Phys. 5, 533 (1988).