Quantum Symmetry of Rational Conformal Models
Todorov, Ivan T.
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 43 (1992), p. 81-124 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1992-01-01
@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},
     volume = {43},
     year = {1992},
     pages = {81-124},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RCP25_1992__42__81_0}
}

Todorov, Ivan T. Quantum Symmetry of Rational Conformal Models. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 43 (1992) pp. 81-124. http://gdmltest.u-ga.fr/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 1069204

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 1090430

J. Balog, L. Dabrowski, L. Fehér, Phys. Lett. B224 (1990) 227 : | MR 1065264

K. Gawedzki. Classical origin of quantum group symmetries in Wess- Zumino-Witten conformal field theory, Commun. Math. Phys. 139 (1991) 201-213 ; | MR 1116416 | Zbl 0721.58045

J.-L. Gervais, Commun. Math. Phys. 130 (1990) 257 ; | MR 1059319 | Zbl 0726.17025

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 1123889 | Zbl 1176.81110

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 990842

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

A. Ganchev, V. Petkova, Phys. Lett. B233 (1989) 374 ; | MR 1034463

G. Moore, N. Reshetikhin. Nucl. Phys. B328 (1989) 557 ; | MR 1030450

V. Pasquier, H. Saleur. Nucl. Phys. B330 (1990) 523 ; | MR 1043392

P. Furlan, A. Ganchev, V. Petkova. Nucl. Phys. B343 (1990) 205 ; | MR 1070939

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 1201832 | Zbl 0810.17010

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 1128134

5. K. Gawedzki, Nucl. Phys. B (Proc. Suppl.) 18B (1990) 78. | MR 1128132 | Zbl 0957.81666

6. G. Mack, V. Schomerus. Commun. Math. Phys. 134 (1990) 139 ; | MR 1079804 | Zbl 0715.17028

G. Mack, V. Schomerus. Quasi Hopf quantum symmetry in quantum theory, Nucl. Phys. B 370 (1992) 185-230. | MR 1148544

7. P. Furlan, Ya S. Stanev, I. T. Todorov. Coherent state operators and n-point invariants for U q (sℓ(2)). Lett Math. Phys. 22 (1991) 307-319. | MR 1131755 | Zbl 0736.17013

8. A. N. Kirillov, N. Yu Reshetikhin, Représentations of the algebra U q (sℓ(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 1026957 | Zbl 0742.17018

9. R. E. Borcherds, Proc. Nat. Acad. Sci. USA 83 (1986) 3068 ; | MR 843307

I. Frenkel, J. Lepowsky, A. Meurman, Vertex Operator Algebra and the Monster (Academic Press. Boston 1988) ; | MR 996026 | Zbl 0674.17001

L. Dolan, P. Goddard, P. Montague, Nucl. Phys. B338 (1990) 529. | MR 1063589

10. I. T. Todorov, Phys. Lett. B153 (1985) 77 ; | MR 789423

P. Furlan, G. Sotkov, I. Todorov, Rivista Nuovo Cim. 12 : 6 (1989) 1-202.t | MR 1008223

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 873035

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 895293 | Zbl 0631.17010

E. Date, M. Jimbo, A. Matsuo. T. Miwa. Hypergeometrictype integrals and the sℓ(2.ℂ) Knizhnik-Zamolodchikov equation, Int. J. Mod. Phys. B (Singapore) 4 (1990) 1049-1057. | MR 1064760 | Zbl 0722.33007

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 sℓ(2.ℂ) WZNW conformal theory. Phys. Lett. B267 (1991) 63-70 and CERN-TH 6289/91, SISSA-120/FM/91. | MR 1128052

15. A. N. Kirillov, N. Reshetikhin. Commun. Math. Phys. 134 (1990) 421 ; | MR 1081014 | Zbl 0723.17014

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 1148754 | Zbl 0753.17019

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 1153195

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 862896

19. V. G. Drinfeld, Algebra i Anal. 1 :6 (1989) 114 (English transl. : Leningrad Math. J. 1 (1990) 1419). | MR 1047964

20. V. G. Drinfeld, Quantum groups, Proc. 1986 I.C.M., vol. 1 (Amer. Math. Soc., Berkeley, CA 1987) pp. 798-820. | MR 934283

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 1015339 | Zbl 0715.17015

22. E. Cremmer, J.-L. Gervais, Commun. Math. Phys. 144 (1992) 279. | MR 1152373 | Zbl 0753.53048