Quantum Group Representations and Baxter Equation

Details Quantum Group Representations and Baxter Equation Quantum Group Representations and Baxter Equation

1996-03-15

arxiv.org/abs/hep-th/9603105v2

Phys.Lett. B392 (1997) 115-122

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, Latex file, corrected references and acknowledgments

Scientific paper

10.1016/S0370-2693(96)01526-2

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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