Abstract
The hidden quantum group symmetry in the quantum Sine-Gordon model is found. This symmetry provides the possibility to restrict the operator algebra of the model to subalgebras. It is shown that these subalgebras are massive deformations of minimal conformal field theories.
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Belavin, A. A., Polyakov, A. M., Zamolodchikov, A. B.: Nucl. Phys.B241, 333 (1984)
Takhtajan, L. A., Faddeev, L. D.: Teor. Mat. Fiz.21, 160 (1974)
Sklyanin, E. K., Takhtajan, L. A., Faddeev, L. D.: Teor. Mat. Fiz.40, 194 (1979)
Zamolodchikov, A. B., Zamolodchikov, Al. B.: Ann. Phys.120, 253 (1979)
Zamolodchikov, A. B.: Pisma ZhETF46, 129 (1987)
Zamolodchikov, A. B.: Int. J. Mod. Phys. A.
Zamolodchikov, A. B.: Talk given at Tanigushi Conference, Kysto, 1988, to be published
Luther, A., Emery, V. J.: Phys. Rev. Lett.33, 589 (1974)
Smirnov, F. A.: Reductions of Quantum Sine-Gordon Model as Perturbations of Minimal Models of Conformal Field Theory, Preprint LOMI E-4-89 (1989)
Andrews, G. E., Baxter, R. J., Forrester, P. J.: J. Sat. Phys.35, 193 (1984)
Date, E., Jimbo, M., Miwa, T.,Ocado, M.: Lett Math. Phys.12, 209 (1986)
Bazhanov, V., Reshetikhin, N.: Int. J. Mod. Phys.A4, 115 (1989)
Friedan, D., Qui, Z., Shenker, S.: Phys. Rev. Lett.52, 1575 (1984)
Drinfeld, V. G.: Proceedings of the International Congress of Mathematicians, vol. 1, pp. 798–820. Berkeley, California, New York: Academic Press 1986
Woronowicz, S.: Publ. RIMS, Kyoto University,23, 117–181 (1987)
Fadeev, L., Reshetikhin, N., Takhtajan, L.: Quantization of Lie Groups and Lie Algebras, LOMI-preprint, E-14-87 (1987); extended version: Algebra and Analysis,1, N1 (1989), Leningrad (in Russian)
Kirillov, A. N., Reshetikhin, N. Yu.: Representations of the AlgebraU 9 (sl(2)),q-orthogonal Polynomials and Invariants of Links, Preprint LOMI E-9-88 (1988)
Kirillov, A. N., Smirnov, F. A.: Phys. Lett.B198, 506 (1987)
Smirnov, F. A.: Formfactors in Completely Integrable Models of QFT, to be published in World Scientific
Smirnov, F. A.: J. Phys.17A, L873 (1984)
Dotsenko, H. S., Fateev, V. A.: Nucl. Phys.B240, 312 (1984)
Felder, G.: Nucl. Phys.B317, 215 (1989)
Blöte, H. W., Cardy, J., Nightingale, M. P.: Phys. Rev. Lett.56, 742 (1986)
LeClair, A.: Restricted Sine-Gordon Theory and the Minimal Conformal Seires, PUPT-1124; Bazhanov, V., and Reshetikhin, N.: unpublished
Cardy, J.: Nucl. Phys.B270, 186 (1986)
Turaev, V., Reshetikhin, N.: Invariants of 3-manifolds via Link Polynomials and Quantum Groups. Commun. Math. Phys.127, 1 (1990)
Izergin, A. G., Korepin, V. E.: Nucl. Phys.B205, 401 (1982)
Mikhailov, A., Olshanetsky, M., Perelomov, A.: Commun. Math. Phys.79, 473 (1981)
Lukyanov, S., Fateev, V.: Lectures given in II. Kiev Spring School “Contemporary Problems in Theoretical Physics,” Kiev 1988, Preprint ITF-88-74-76P, Kiev 1988 (in Russian)
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Communicated by A. Jaffe
Supported in part by the Department of Energy under Grant DE-FG02-88ER25065
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Reshetikhin, N., Smirnov, F. Hidden quantum group symmetry and integrable perturbations of conformal field theories. Commun.Math. Phys. 131, 157–177 (1990). https://doi.org/10.1007/BF02097683
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DOI: https://doi.org/10.1007/BF02097683