Quantum Symmetry of Rational Conformal Models
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Volume 42 (1992), Talk no. 8, 44 p.
@article{RCP25_1992__42__81_0,
     author = {Todorov, Ivan T.},
     title = {Quantum {Symmetry} of {Rational} {Conformal} {Models}},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     note = {talk:8},
     pages = {81--124},
     publisher = {Institut de Recherche Math\'ematique Avanc\'ee - Universit\'e Louis Pasteur},
     volume = {42},
     year = {1992},
     language = {en},
     url = {http://www.numdam.org/item/RCP25_1992__42__81_0/}
}
TY  - JOUR
AU  - Todorov, Ivan T.
TI  - Quantum Symmetry of Rational Conformal Models
JO  - Les rencontres physiciens-mathématiciens de Strasbourg -RCP25
N1  - talk:8
PY  - 1992
SP  - 81
EP  - 124
VL  - 42
PB  - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
UR  - http://www.numdam.org/item/RCP25_1992__42__81_0/
LA  - en
ID  - RCP25_1992__42__81_0
ER  - 
%0 Journal Article
%A Todorov, Ivan T.
%T Quantum Symmetry of Rational Conformal Models
%J Les rencontres physiciens-mathématiciens de Strasbourg -RCP25
%Z talk:8
%D 1992
%P 81-124
%V 42
%I Institut de Recherche Mathématique Avancée - Université Louis Pasteur
%U http://www.numdam.org/item/RCP25_1992__42__81_0/
%G en
%F RCP25_1992__42__81_0
Todorov, Ivan T. Quantum Symmetry of Rational Conformal Models. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Volume 42 (1992), Talk no. 8, 44 p. http://www.numdam.org/item/RCP25_1992__42__81_0/

1. O. Babelon, Phys. Lett. B215 (1988) 523. B238 (1990) 234 ;

O. Babelon, L. Bonora. Phys. Lett. B244 (1990) 220 ; Phys. Lett. B253 (1991) 365 ;

L. D. Faddeev. Commun. Math. Phys. 132 (1990)) 131 : From integrable models to quantum groups. 1990 Schladming lectures, Fields and Particles, Proc. XXIX Intern. Universitätswochen für Kernphysik, Schlahming. Eds. H. Mitter, W.S. Schwieger (Springer, Berlin 1990) pp. 88-115. | MR

A. Alekseev, S. Shatashvili. Commun. Math. Phys. 133 (1990) 353 : A. Alekseev. L. Faddeev, M. Semenov-Tian-Shansky, A. Volkov, The unravelling of the quantum group structure in the WZNW theory Geneva preprint CERN-TH-5981/91 ; | MR

J. Balog, L. Dabrowski, L. Fehér, Phys. Lett. B224 (1990) 227 : | MR

K. Gawedzki. Classical origin of quantum group symmetries in Wess- Zumino-Witten conformal field theory, Commun. Math. Phys. 139 (1991) 201-213 ; | MR | Zbl

J.-L. Gervais, Commun. Math. Phys. 130 (1990) 257 ; | MR | Zbl

M. Chu, P. Goddard, I. Halliday, D. Olive, A. Schwimmer. Quantization of the Wess-Zumino-Witten model on a circle, Phys. Lett. B266 (1991) 71-81. | MR | Zbl

2. L. Alvarez-Gaumé, C. Gomez, G. Sierra, Nucl. Phys. B319 (1989) 155 ; Nucl. Phys. B330 (1990) 347 ; Phys. Lett. B 220 (1989) 142 ; | MR

J. Fröhlich. C. King. Int. J. Mod. Phys A4 (1989) 5321 ;

A. Ganchev, V. Petkova, Phys. Lett. B233 (1989) 374 ; | MR

G. Moore, N. Reshetikhin. Nucl. Phys. B328 (1989) 557 ; | MR

V. Pasquier, H. Saleur. Nucl. Phys. B330 (1990) 523 ; | MR

P. Furlan, A. Ganchev, V. Petkova. Nucl. Phys. B343 (1990) 205 ; | MR

J. Fröhlich, T. Kerler. On the role of quantum groups in low dimensional local quantum field theories. Lecture Notes in Mathematics (Springer, to be published).

3. I. T. Todorov. Quantum Groups as symmetries of chiral conformal algebras, in : Quantum Groups, Proc. of the 8th Internationel Workshop on Math. Phys. at ASI. Clausthal 1989, H.-D. Doebner, J.-D. Hennig (Eds.), Lecture Notes in Physics 370 (Springer, Berlin 1990) pp. 231-277 ; | MR | Zbl

L. K. Hadjiivanov, R. R. Paunov, I. T. Todorov. Nucl. Phys. B (Proc. Suppl.) 18B (1990) 141 ; Nucl. Phys. B356 (1991) 387.

4. C. Gomez, G. Sierra. Phys. Lett. B240 (1990) 149 ; Nucl. Phys. B (Proc. Suppl.) 18B (1990)) 107 ; Nucl. Phys. B352 (1991) 791. | MR

5. K. Gawedzki, Nucl. Phys. B (Proc. Suppl.) 18B (1990) 78. | MR | Zbl

6. G. Mack, V. Schomerus. Commun. Math. Phys. 134 (1990) 139 ; | MR | Zbl

G. Mack, V. Schomerus. Quasi Hopf quantum symmetry in quantum theory, Nucl. Phys. B 370 (1992) 185-230. | MR

7. P. Furlan, Ya S. Stanev, I. T. Todorov. Coherent state operators and n-point invariants for U q (s(2)). Lett Math. Phys. 22 (1991) 307-319. | MR | Zbl

8. A. N. Kirillov, N. Yu Reshetikhin, Représentations of the algebra U q (s(2)), q-orthogonal polynomials and invariants of links, in : Infinite Dimensional Lie Algebras and Groups. Proc. 1988 CIRM Conference, Ed. V. Kac (World Scientific. Singapore 1989). | MR | Zbl

9. R. E. Borcherds, Proc. Nat. Acad. Sci. USA 83 (1986) 3068 ; | MR

I. Frenkel, J. Lepowsky, A. Meurman, Vertex Operator Algebra and the Monster (Academic Press. Boston 1988) ; | MR | Zbl

L. Dolan, P. Goddard, P. Montague, Nucl. Phys. B338 (1990) 529. | MR

10. I. T. Todorov, Phys. Lett. B153 (1985) 77 ; | MR

P. Furlan, G. Sotkov, I. Todorov, Rivista Nuovo Cim. 12 : 6 (1989) 1-202.t | MR

11. V. G. Knizhnik, A. B. Zamolodchikov. Nucl. Phys. B247 (1984) 83.

A.B. Zamolodchikov. V.A. Fateev. Yad.Fiz 43 (1986) 1031 (English transl. : Sov. Nucl. Phys. 43 (1986) 657).

12. P. Christe, R. Flume, Nucl. Phys. B282 (1987) 466 ; | MR

P. Christe, Structure and Applications of the WZW Model in Two Dimensions, PhD thesis, Bonn University (1986) ;

A. Tsuchiya, Y. Kanie, Lett. Math. Phys. 13 (1987) 303 ; | MR | Zbl

E. Date, M. Jimbo, A. Matsuo. T. Miwa. Hypergeometrictype integrals and the s(2.) Knizhnik-Zamolodchikov equation, Int. J. Mod. Phys. B (Singapore) 4 (1990) 1049-1057. | MR | Zbl

13. V. Dotsenko, V. Fateev. Nucl. Phys. B240 (1984) 312 ; B251 (1985) 691.

14. P. Furlan, A. Ganchev, R. Paunov, V. Petkova, Reduction of the rational spin s(2.) WZNW conformal theory. Phys. Lett. B267 (1991) 63-70 and CERN-TH 6289/91, SISSA-120/FM/91. | MR

15. A. N. Kirillov, N. Reshetikhin. Commun. Math. Phys. 134 (1990) 421 ; | MR | Zbl

S. Z. Levendorskii, Ya. S. Soybelman, Journ. Geom. and Phys. 7 (1991) 1 ;

M. S. Iotov. I. T. Todorov. On the universal R-matrix for U q (sl r+1 ). Lett. Math. Phys. 23 (1991) 241-250. | MR | Zbl

S. M. Khoroshkin, V. N. Tolstoy. Some remarks on the universal R-matrix, École Polytechnique preprint M990-0691 (Palaiseau, France 1991).

16. Ya. S. Stanev, I. T. Todorov, L. K. Hadjiivanov, Phys. Lett. B276 (1992) 87. | MR

17. I. T. Todorov, Ya. S. Stanev, Chiral Current Algebras and 2-Dimensional Conformal Models, Expanded version of lectures delivered at the Troisième Cycle de la Physique en Suisse Romande in January-February 1992 (Lausanne 1992) 128p.

18. D. Gepner, E. Witten, Nucl. Phys. B278 (1986) 493. | MR

19. V. G. Drinfeld, Algebra i Anal. 1 :6 (1989) 114 (English transl. : Leningrad Math. J. 1 (1990) 1419). | MR

20. V. G. Drinfeld, Quantum groups, Proc. 1986 I.C.M., vol. 1 (Amer. Math. Soc., Berkeley, CA 1987) pp. 798-820. | MR

21. L. D. Faddeev, N. Yu. Reshetikhin, L. A. Takhtajan, Algebrai Anal. 1 :1 (1989) 178 (Englisch Transl. : Leningrad Math. J. 1 (1990) 193). | MR | Zbl

22. E. Cremmer, J.-L. Gervais, Commun. Math. Phys. 144 (1992) 279. | MR | Zbl