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Extended chiral conformal models with a quantum group symmetry

  • III. Symmetries of Equations and Fields
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Group Theoretical Methods in Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 382))

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References

  1. J. Fröhlich, T. Kerler: On the role of quantum groups in low dimensional local quantum field theory, ETH Zurich preprint (1990). This paper corrects, in particular, some statement of an earlier account: Fröhlich, J., King, C., Int. J. Mod. Phys. A4 5321 (1989)

    Google Scholar 

  2. L. K. Hadjiivanov, R. R. Paunov, I. T. Todorov: Extended chiral conformal theories with a quantum symmetry, 1990 Annecy talk and I.P.N., Orsay preprint; Quantum group extended chiral p-models, Institute for Nuclear Research and Nuclear Energy preprint, Sofia 1990

    Google Scholar 

  3. A. A. Belavin, A. M. Polyakov, A. B. Zamolodchikov: Nucl. Phys. B241 333 (1984)

    Article  Google Scholar 

  4. D. Friedan, Z. Qiu, S. Shenker: Phys. Rev. Lett. 52 1575 (1984); Commun. Math. Phys. 107 535 (1986)

    Article  Google Scholar 

  5. G. Moore, Reshetikhin, N. Yu. Nucl. Phys. B328 557 (1989)

    Article  Google Scholar 

  6. K. Gawedzki: Geometry of Wess-Zumino-Witten models of conformal field theory, I.H.E.S. Bures-sur-Yvette preprint, to be published in the Proceedings of the 4th (1990) Annecy Meeting on Theoretical Physics

    Google Scholar 

  7. C. Gomez, G. Sierra: Phys. Lett. B240 149 (1990); The quantum group symmetry of rational conformal field theories, Geneva preprint UGVA-DPT 1990/04-669

    Google Scholar 

  8. Algebraic Theory of Superselection Sectors: Introduction and Recent Results, Proceedings of 1989 Palermo Meeting, Ed. D. Kastler (World Scientific, Singapore 1990)

    Google Scholar 

  9. E. Verlinde: Nucl. Phys. B300 [FS22] 360 (1988); R. Dijkgraaf, E. Verlinde: Nucl. Phys. B (Proc. Suppl.) 5B 87 (1988)

    Article  Google Scholar 

  10. J. L. Cardy: Nucl. Phys. B275 [FS17] 200 (1986)

    Article  Google Scholar 

  11. A. Cappelli, J. B. Itzykson, J. B. Zuber: Nucl. Phys. B280 [FS18] 445 (1987); Commun. Math. Phys. 113 1 (1987)

    Article  Google Scholar 

  12. L. Alvarez-Gaume, C. Gomez, G. Sierra: Nucl. Phys. B319 155 (1989); ibid. B330 347 (1990)

    Article  Google Scholar 

  13. I. T. Todorov: Quantum groups as symmetries of chiral conformal algebras, Lectures presented at the 8 Summer Workshop on Mathematical Physics “Quantum groups”, Clausthal-Zellerfeld, July 1989

    Google Scholar 

  14. V. G Drinfeld: Quantum Groups, Proc. 1986 ICM, Vol. 1 (Am. Math. Soc., Berkeley, CA 1987) pp. 798–820; Algebra and Analysis 1, N 2 30 (1989) (in Russian)

    Google Scholar 

  15. L. D. Fadeev, N. Yu. Reshetikhin, L. A. Takhtajan: Algebra and Analysis 1, N 1 178 (1989) (in Russian); M. Jimbo, Lett. Math. Phys. 10 63 (1985); 11 247 (1986)

    Google Scholar 

  16. V. G. Drinfeld: Quasi Hopf algebras and Knizhnik-Zamolodchikov equations, Kiev preprint ITP-89-43E; Algebra and Analysis (to be published)

    Google Scholar 

  17. R. Dijkgraaf, V. Pasquier, P. Roche: Quasi-quantum groups related to orbifold models. Talk at the International Colloquium. on Modern Quantum Field Theory, Tata Institute of Fundamental Research, Jan. 1990

    Google Scholar 

  18. V. Pasquier, H. Saleur: Nucl. Phys. B330 (1990) 523

    Article  Google Scholar 

  19. G. Lustig: Contemp. Math. 82 58 (1989); On quantum groups, MIT preprint, 1989

    Google Scholar 

  20. C. De Concini, V. G. Kac: Representations of Quantum groups at roots of 1, MIT preprint, 1990

    Google Scholar 

  21. V. Pasquier: Commun. Math. Phys. 118 355 (1988)

    Article  Google Scholar 

  22. A. Ch. Ganchev, V. B. Petkova: Phys. Lett. B233 374 (1989)

    Google Scholar 

  23. G. Moore, Seiberg: N. Commun. Math. Phys. 123 177 (1989)

    Article  Google Scholar 

  24. A. N. Kirillov, N. Yu. Reshetikhin: Representations of the algebra U q(sl(2)), qorthogonal polynomials and invariants of links, in: Infinite Dimensional Lie Algebras and Groups, Proceed, of 1988 CIRM, Luminy Conference, Ed. V. G. Kac (World Scientific, Singapore 1989) pp. 285–339

    Google Scholar 

  25. Vl. S. Dotsenko, V. A. Fateev: Nucl. Phys. B240 [FS12] 312 (1984)

    Article  Google Scholar 

  26. A. B. Zamelodchikov: Theor. Math. Phys. 65 1205 (1986)

    Article  Google Scholar 

  27. F. A. Bais, P. Bcuwknegt, K. Schoutens, Surridge, M.: Nucl. Phys. B304 371 (1988)

    Article  Google Scholar 

  28. I. G. Koh, S. Ouvry, I. T. Todorov: Chiral partition function characterizing rational conformal models, Orsay preprint IPNO/TH 90-38

    Google Scholar 

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Victor V. Dodonov Vladimir I. Man'ko

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© 1981 Springer-Verlag

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Todorov, I.T. (1981). Extended chiral conformal models with a quantum group symmetry. In: Dodonov, V.V., Man'ko, V.I. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 382. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54040-7_124

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  • DOI: https://doi.org/10.1007/3-540-54040-7_124

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