Quantum Group Representations and Baxter Equation
High Energy Physics - Theory
2009-10-30 v2 Quantum Algebra
q-alg
Abstract
In this paper we propose algebraic universal procedure for deriving "fusion rules" and Baxter equation for any integrable model with 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 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.
Cite
@article{arxiv.hep-th/9603105,
title = {Quantum Group Representations and Baxter Equation},
author = {Alexander Antonov and Boris Feigin},
journal= {arXiv preprint arXiv:hep-th/9603105},
year = {2009}
}
Comments
14 pages, Latex file, corrected references and acknowledgments