Quantum group representations and the Baxter equation
In this article we propose an algebraic universal procedure for deriving the ``fusion rules'' and the Baxter equation for any integrable model with Uq(ŝl2) symmetry by means of the quantum inverse scattering method. The universal BaxterQ -operator is obtained from a certain infinite dimensional representation called q-oscillator representation of the universalR -matrix for the Uq(ŝl2) affine algebra (first proposed by V. Bazhanov, S. Lukyanov and A. Zamolodchikov [hep-th/9604044] for the quantum KdV case). We also examine the algebraic properties of the Q-operator.
Physics Letters B
- Pub Date:
- February 1997
- High Energy Physics - Theory;
- Mathematics - Quantum Algebra
- 14 pages, Latex file, corrected references and acknowledgments