Quantum Group Representations and Baxter Equation

Abstract

In this paper we propose algebraic universal procedure for deriving "fusion rules" and Baxter equation for any integrable model with $U_q({\widehat{sl}}_2)$ symmetry of Quantum Inverse Scattering Method. Universal Baxter Q- operator is got from the certain infinite dimensional representation called q-oscillator one of the Universal R- matrix for $U_q({\widehat{sl}}_2)$ affine algebra (first proposed by V. Bazhanov, S.Lukyanov and A.Zamolodchikov for quantum KdV case). We also examine the algebraic properties of Q-operator.

14 pages, Latex file, corrected references and acknowledgments

References in corpus (4)

• Integrable Structure of Conformal Field Theory II. Q-operator and DDV equation
• Algebraic Aspects of Bethe-Ansatz
• Gauss decomposition of trigonometric R-matrices
• Quantum lattice KdV equation

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