A(1)1 admissible representations - Fusion transformations and local correlators

Nuclear Physics B

Volumn 491, Issue 3, 1997, Pages 635-658

  Furlan, P ^b   Ganchev, A Ch ^b   Petkova, V B ^a  

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

^b NONE

Author keywords

Admissible representations; Braid transformations; WZNW models

Indexed keywords

EID: 0031554238     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(97)00038-2     Document Type: Article

References (39)

1. [1] V.G. Knizhnik and A.B. Zamolodchikov, Nucl. Phys. B 247 (1984) 83.
2. [2] V.V. Schechtman and A.N. Varchenko, Lett. Math. Phys. 20 (1990) 279; Inven. Math. 106 (1991) 139.
3. [2] V.V. Schechtman and A.N. Varchenko, Lett. Math. Phys. 20 (1990) 279; Inven. Math. 106 (1991) 139.
4. [3] A.B. Zamolodchikov and V.A. Fateev, Sov. J. Nucl. Phys. 43 (1986) 657.
5. [4] P. Christe and R. Flume, Nucl. Phys. B 282 (1987) 466, P. Christe, PhD Thesis, Bonn University (1986).
6. [5] E. Date, M. Jimbo, A. Matsuo and T. Miwa, in Yang-Baxter Equations, Conformal Invariance and Integrability in Statistical Mechanics and Field Theory (World Scientific, Singapore, 1989).
7. [6] V.G. Kac and M. Wakimoto, Proc. Natl. Acad. Sci. USA 85 (1988) 4956; V.G. Kac and M. Wakimoto, Acta Appl. Math. 21 (1990) 3.
8. [6] V.G. Kac and M. Wakimoto, Proc. Natl. Acad. Sci. USA 85 (1988) 4956; V.G. Kac and M. Wakimoto, Acta Appl. Math. 21 (1990) 3.
9. [7] K. Gawedzki, manuscript on CFT, in preparation.
10. [8] M. Bershadsky and H. Ooguri, Comm. Math. Phys. 126 (1989) 49.
11. [9] J. de Boer, T. Tjin, Commun. Math. Phys. 160 (1994) 317.
12. [10] H.-L. Hu, M. Yu, Nucl. Phys. B 391 (1993) 389.
13. [11] O. Aharony, O. Ganor, J. Sonnenschine and S. Yankielowicz, Nucl. Phys. B 399 (1993) 527.
14. [12] P. Furlan, R. Paunov, A.Ch. Ganchev and V.B. Petkova, Phys. Lett. B 267 (1991) 63.
15. [13] P. Furlan, R. Paunov, A.Ch. Ganchev and V.B. Petkova, Nucl. Phys. B 394 (1993) 665, hep-th/9201080.
16. [14] VI.S. Dotsenko, Nucl. Phys. B 358 (1991) 547.
17. [15] V.S. Dotsenko and V.A. Fateev, Nucl. Phys. B 240 (1984) 312; B 251 (1985) 691.
18. [15] V.S. Dotsenko and V.A. Fateev, Nucl. Phys. B 240 (1984) 312; B 251 (1985) 691.
19. [16] B.L. Feigin and F.G. Malikov, Adv. Sov. Math. 17 ( 1993) 15, hep-th/9306137.
20. [17] J.L. Petersen, J. Rasmussen and M. Yu, Nucl. Phys. B 457 (1995) 309; B 457 (1995) 343.
21. [17] J.L. Petersen, J. Rasmussen and M. Yu, Nucl. Phys. B 457 (1995) 309; B 457 (1995) 343.
22. [18] O. Andreev, Phys. Lett. B 363 (1995) 166.
23. [19] H. Awata and Y. Yamada, Mod. Phys. Lett. A 7 (1992) 1185.
24. [20] B.L. Feigin and F.G. Malikov, Lett. Math. Phys. 31 (1994) 315.
25. [21] B.L. Feigin and F.G. Malikov, Modular functor and representation theory of sl(2) at a rational level, q-alg/9511011.
26. [22] A.Ch. Ganchev and V.B. Petkova, Phys. Lett. B 293 (1992) 56.
27. [23] F.G. Malikov, B.L. Feigin and D.B. Fuks, Funct. Anal. Prilozhen. 20, no. 2 (1987) 25.
28. [24] A. Belavin, A. Polyakov and A. Zamolodchikov, Nucl. Phys. B 241 (1984) 333.
29. [25] P. Furlan, R. Paunov, A.Ch. Ganchev and V.B. Petkova, in H. Osborn (ed.), Proc. of Workshop on Low Dimensional Topology and Quantum Field Theory, Newton Institute, Cambridge, Sept., 1992, NATO ASI Series B, vol. 315 (Plenum Press, New York).
30. [26] A.Ch. Ganchev and V.B. Petkova, Phys. Lett. B 318 (1993) 77.
31. [27] A.N. Kirillov and N.Yu. Reshetikhin, Leningrad preprint, LOMI E-9-88 (1988).
32. [28] A.Ch. Ganchev and V.B. Petkova, Phys. Lett. B 233 (1989) 374.
33. [29] VI. S. Dotsenko, Lectures on Conformal Theory, RIMS-559 (1986).
34. [30] P. Furlan, A.Ch. Ganchev and V.B. Petkova, Int. J. Mod. Phys. A6 (1991) 4859.
35. [31] V.S. Dotsenko and V.A. Fateev, Phys. Lett. B 154 (1985) 291.
36. [32] A.M. Polyakov, Mod. Phys Lett. A 2 (1987) 893; V.G. Knizhnik, A.M. Polyakov and A.B. Zamolodchikov, Mod. Phys. Lett. A 3 (1988) 819.
37. [32] A.M. Polyakov, Mod. Phys Lett. A 2 (1987) 893; V.G. Knizhnik, A.M. Polyakov and A.B. Zamolodchikov, Mod. Phys. Lett. A 3 (1988) 819.
38. [33] A.P. Jucys and A.A. Bandzaitis, Theory of angular momentum in quantum mechanics, Mokslas, Vilnius, 1977 (in Russian).
39. [34] J.L. Petersen, J. Rasmussen and M. Yu, Nucl. Phys. B 481 (1996) 577, hep-th/9607129.