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arXiv · hep-th/9603105

Quantum Group Representations and Baxter Equation

Alexander Antonov·Boris Feigin
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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.

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Alexander Antonov, Boris Feigin. 1996-04-04. Quantum Group Representations and Baxter Equation. https://doi.org/10.1016/s0370-2693(96)01526-2

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