@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://archive.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://archive.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://archive.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, Tome 42 (1992), Exposé no. 8, 44 p. http://archive.numdam.org/item/RCP25_1992__42__81_0/
1. Phys. Lett. B215 (1988) 523. B238 (1990) 234 ;
,Phys. Lett. B244 (1990) 220 ; Phys. Lett. B253 (1991) 365 ;
, .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 : . , , , The unravelling of the quantum group structure in the WZNW theory Geneva preprint CERN-TH-5981/91 ; | MR
Phys. Lett. B224 (1990) 227 : | MR
, , ,Classical origin of quantum group symmetries in Wess- Zumino-Witten conformal field theory, Commun. Math. Phys. 139 (1991) 201-213 ; | MR | Zbl
.Commun. Math. Phys. 130 (1990) 257 ; | MR | Zbl
,Quantization of the Wess-Zumino-Witten model on a circle, Phys. Lett. B266 (1991) 71-81. | MR | Zbl
, , , , .2. Nucl. Phys. B319 (1989) 155 ; Nucl. Phys. B330 (1990) 347 ; Phys. Lett. B 220 (1989) 142 ; | MR
, , ,Int. J. Mod. Phys A4 (1989) 5321 ;
. .Phys. Lett. B233 (1989) 374 ; | MR
, ,Nucl. Phys. B328 (1989) 557 ; | MR
, .Nucl. Phys. B330 (1990) 523 ; | MR
, .Nucl. Phys. B343 (1990) 205 ; | MR
, , .On the role of quantum groups in low dimensional local quantum field theories. Lecture Notes in Mathematics (Springer, to be published).
, .3. 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
.Nucl. Phys. B (Proc. Suppl.) 18B (1990) 141 ; Nucl. Phys. B356 (1991) 387.
, , .4. Phys. Lett. B240 (1990) 149 ; Nucl. Phys. B (Proc. Suppl.) 18B (1990)) 107 ; Nucl. Phys. B352 (1991) 791. | MR
, .5. Nucl. Phys. B (Proc. Suppl.) 18B (1990) 78. | MR | Zbl
,6. Commun. Math. Phys. 134 (1990) 139 ; | MR | Zbl
, .Quasi Hopf quantum symmetry in quantum theory, Nucl. Phys. B 370 (1992) 185-230. | MR
, .7. Coherent state operators and n-point invariants for . Lett Math. Phys. 22 (1991) 307-319. | MR | Zbl
, , .8. Représentations of the algebra , -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. Proc. Nat. Acad. Sci. USA 83 (1986) 3068 ; | MR
,Vertex Operator Algebra and the Monster (Academic Press. Boston 1988) ; | MR | Zbl
, , ,Nucl. Phys. B338 (1990) 529. | MR
, , ,10. Phys. Lett. B153 (1985) 77 ; | MR
,Rivista Nuovo Cim. 12 : 6 (1989) 1-202.t | MR
, , ,11. Nucl. Phys. B247 (1984) 83.
, .Yad.Fiz 43 (1986) 1031 (English transl. : Sov. Nucl. Phys. 43 (1986) 657).
. .12. Nucl. Phys. B282 (1987) 466 ; | MR
, ,Structure and Applications of the WZW Model in Two Dimensions, PhD thesis, Bonn University (1986) ;
,Lett. Math. Phys. 13 (1987) 303 ; | MR | Zbl
, ,Hypergeometrictype integrals and the Knizhnik-Zamolodchikov equation, Int. J. Mod. Phys. B (Singapore) 4 (1990) 1049-1057. | MR | Zbl
, , . .13. Nucl. Phys. B240 (1984) 312 ; B251 (1985) 691.
, .14. Reduction of the rational spin WZNW conformal theory. Phys. Lett. B267 (1991) 63-70 and CERN-TH 6289/91, SISSA-120/FM/91. | MR
, , , ,15. Commun. Math. Phys. 134 (1990) 421 ; | MR | Zbl
, .Journ. Geom. and Phys. 7 (1991) 1 ;
, ,On the universal -matrix for . Lett. Math. Phys. 23 (1991) 241-250. | MR | Zbl
. .Some remarks on the universal R-matrix, École Polytechnique preprint M990-0691 (Palaiseau, France 1991).
, .16. Phys. Lett. B276 (1992) 87. | MR
, , ,17. 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. Nucl. Phys. B278 (1986) 493. | MR
, ,19. Algebra i Anal. 1 :6 (1989) 114 (English transl. : Leningrad Math. J. 1 (1990) 1419). | MR
,20. 1 (Amer. Math. Soc., Berkeley, CA 1987) pp. 798-820. | MR
, Quantum groups, Proc. 1986 I.C.M., vol.21. Algebrai Anal. 1 :1 (1989) 178 (Englisch Transl. : Leningrad Math. J. 1 (1990) 193). | MR | Zbl
, , , , ,