Quantum Affine Algebras and Deformations of the Virasoro and 𝒲-Algebras
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Conférences de M. Audin, D. Bernard, A. Bilal, B. Enriquez, E. Frenkel, F. Golse, M. Katz, R. Lawrence, O. Mathieu, P. Von Moerbeke, V. Ovsienko, N. Reshetikhin, S. Theisen, Tome 47 (1995), Exposé no. 12, 31 p. 
@article{RCP25_1995__47__275_0,
     author = {Frenkel, Edward and Reshetikhin, Nikolai},
     title = {Quantum {Affine} {Algebras} and {Deformations} of the {Virasoro} and $\mathcal {W}${-Algebras}},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     note = {talk:12},
     pages = {275--305},
     publisher = {Institut de Recherche Math\'ematique Avanc\'ee - Universit\'e Louis Pasteur},
     volume = {47},
     year = {1995},
     language = {en},
     url = {http://www.numdam.org/item/RCP25_1995__47__275_0/}
}
TY  - JOUR
AU  - Frenkel, Edward
AU  - Reshetikhin, Nikolai
TI  - Quantum Affine Algebras and Deformations of the Virasoro and $\mathcal {W}$-Algebras
JO  - Les rencontres physiciens-mathématiciens de Strasbourg -RCP25
N1  - talk:12
PY  - 1995
SP  - 275
EP  - 305
VL  - 47
PB  - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
UR  - http://www.numdam.org/item/RCP25_1995__47__275_0/
LA  - en
ID  - RCP25_1995__47__275_0
ER  - 
%0 Journal Article
%A Frenkel, Edward
%A Reshetikhin, Nikolai
%T Quantum Affine Algebras and Deformations of the Virasoro and $\mathcal {W}$-Algebras
%J Les rencontres physiciens-mathématiciens de Strasbourg -RCP25
%Z talk:12
%D 1995
%P 275-305
%V 47
%I Institut de Recherche Mathématique Avancée - Université Louis Pasteur
%U http://www.numdam.org/item/RCP25_1995__47__275_0/
%G en
%F RCP25_1995__47__275_0
Frenkel, Edward; Reshetikhin, Nikolai. Quantum Affine Algebras and Deformations of the Virasoro and $\mathcal {W}$-Algebras. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Conférences de M. Audin, D. Bernard, A. Bilal, B. Enriquez, E. Frenkel, F. Golse, M. Katz, R. Lawrence, O. Mathieu, P. Von Moerbeke, V. Ovsienko, N. Reshetikhin, S. Theisen, Tome 47 (1995), Exposé no. 12, 31 p. http://www.numdam.org/item/RCP25_1995__47__275_0/

1. B. Feigin, E. Frenkel, Int. J. Mod. Phys. A7, Supplement 1A (1992) 197-215; | MR | Zbl

E. Frenkel, Affine Kac-Moody algebras at the critical level and quantum Drinfeld-Sokolov reduction, Ph.D. Thesis, Harvard University, 1991. | MR

2. V. G. Drinfeld, V. V. Sokolov, Sov. Math. Dokl. 23 (1981) 457-462; | Zbl

V. G. Drinfeld, V. V. Sokolov J. Sov. Math. 30 (1985) 1975-2035. | Zbl

3. A. A. Beilinson, V. G. Drinfeld, Quantization of Hitchin's fibration and Langlands program, Preprint (1994); | MR | Zbl

4. M. Wakimoto, Comm. Math. Phys. 104 (1986) 605-609. | MR | Zbl

5. B. Feigin, E. Frenkel, Uspekhi Matem. Nauk 43, N5 (1988) 227-228 [English translation: Russian Math. Surveys 43, N5 (1988) 221-222] ; | MR | Zbl

B. Feigin, E. Frenkel Comm. Math. Phys. 128 (1990) 161-189. | MR | Zbl

6. E. Frenkel, Free field realizations in representation theory and conformai field theory, to appear in Proceedings of the International Congress of Mathematicians, Zürich 1994. | MR | Zbl

7. B. Feigin, E. Frenkel, N. Reshetikhin, Comm. Math. Phys. 166 (1994) 27-62. | MR | Zbl

8. E. Frenkel, Affine algebras, Langlands duality and Bethe ansatz, to appear in Proceedings of the International Congress on Mathematical Physics, Paris 1994. | MR | Zbl

9. N. Yu. Reshetikhin, M. A. Semenov-Tian-Shansky, Lett. Math. Phys. 19 (1990) 133-142. | MR | Zbl

10. J. Ding, P. Etingof, Math. Res. Lett. 1 (1994) 469-480. | MR | Zbl

11. V. G. Drinfeld, Sov. Math. Dokl. 36 (1987) 212-216. | MR

12. J. Ding, I. Frenkel, Comm. Math. Phys. 156 (1993) 277-300. | MR | Zbl

13. J. Shiraishi, Phys. Lett. A171 (1992) 243-248.

A. Matsuo, Phys. Lett. B308 (1993) 26-265;

A. Abada, A. H. Bougourzi, M. A. El Gradechi, Mod. Phys. Lett A 8 (1993) 515-724; | Zbl

K. Kimura, Preprint RIMS-910 (1992). | MR

14. H. Awata, S. Odake, J. Shiraishi, Comm. Math. Phys. 162 (1994) 61-83. | MR | Zbl

15. R. J. Baxter, Ann. Phys. 70 (1972) 193-228; | Zbl

R. J. Baxter, Exactly Solved Models of Statistical Mechanics, Academic Press 1982. | MR | Zbl

16. E. H. Lieb, Phys. Rev. 162 (1967) 162-172;

B. Sutherland, Phys. Rev. Lett. 19 (1967) 103-104.

17. E. K. Sklyanin, Zapiski Nauch. Sem. LOMI 164 (1987) 151-169 [English translation: J. Sov. Math. 47 (1989) 2473-2488] ; in Quantum Groups and Quantum Integrable Systems, ed. Mo-Lin Ge, pp. 63-97, World Scientific 1992. | MR

18. P. P. Kulish, N. Yu. Reshetikhin, J. Exper. Theor. Phys. 80 (1981) 214-228. | MR

19. N. Yu. Reshetikhin, Lett. Math. Phys. 7 (1983) 205-213; | MR

N. Yu. Reshetikhin Theor. Math. Phys. 63 (1985) 559-569;

N. Yu. Reshetikhin Lett. Math. Phys. 14 (1987) 235-246. | MR | Zbl

20. N. Yu. Reshetikhin, Habilitation Thesis, LOMI (1988).

21. V. V. Bazhanov, N. Yu. Reshetiknin, J. Phys. A 23 (1990) 1477-1492; | MR | Zbl

A. N. Kirillov, N. Yu. Reshetikhin, unpublished.

22. A. Kuniba, J. Suzuki, Analytic Bethe Ansatz for fundamental representations of Yangians, Preprint hep-th/9406180 (1994). | MR | Zbl

23. E. Frenkel, N. Reshetikhin, in preparation.

24. V. G. Drinfeld, Sov. Math. Dokl. 32 (1985) 254-258.

25. M. Jimbo, Lett. Math. Phys. 10 (1985) 63-69. | MR | Zbl

26. S. Khoroshkin, V. Tolstoy, J. Geom. Phys. 11 (1993) 445-452; | MR | Zbl

S. Khoroshkin, V. Tolstoy Connection of Drinfeld's and Cartan-Weyl realizations for quantum affine algebras, Preprint hep-th/9404036 (1994).

27. J. Beck, Comm. Math. Phys. 165 (1994) 555-568. | MR | Zbl

28. S. Levendorsky, Ya. Soibelman, V. Stukopin, Lett. Math. Phys. 27 (1993) 253-264. | MR | Zbl

29. L. D. Faddeev, in Recent Advances in Field Theory and Statistical Mechanics, Les Houches, 1982, eds. J.-B. Zuber, R. Stora, pp. 563-608, Elsevier Science Publishers 1984. | MR

30. L. D. Faddeev, N. Yu. Reshetikhin, L. A. Takhtajan, Algebra and Analysis 1 (1989) 118-206;

L. D. Faddeev, N. Yu. Reshetikhin, L. A. Takhtajan in Integrable Systems, Adv. Ser. in Math. Phys. 10, pp. 299-309, World Scientific 1989.

31. I. B. Frenkel, N. Yu. Reshetikhin, Comm. Math. Phys. 146 (1992) 1-60. | MR | Zbl

32. M. Jimbo, T. Miwa, Algebraic analysis of solvable lattice models, CBMS Regional Conference Series in Mathematics, vol. 85, AMS, 1994. | MR | Zbl

33. A. N. Kirillov, N. Yu. Reshetikhin, Zapiski Nauch. Sem. LOMI 145 (1985) 109-133. | MR | Zbl

34. P. P. Kulish, N. Yu. Reshetikhin, E. S. Sklyanin, Lett. Math. Phys. 5 (1981) 393-403. | MR | Zbl

35. V. Chari, A. N. Pressley, A Guide to Quantum Groups, Cambridge University Press 1994. | MR | Zbl

36. E. Ogievetsky, N. Reshetikhin, P. Wiegmann, Nucl. Phys. 280 (1987) 45-96; | MR

V. V. Bazhanov, N. Yu. Reshetikhin, Progr. Theor. Phys. Suppl. 102 (1990) 301-318. | MR | Zbl