Quantum group representations and the Baxter equation
Abstract
In this article we propose an algebraic universal procedure for deriving the ``fusion rules'' and the Baxter equation for any integrable model with U_{q}(ŝl_{2}) symmetry by means of the quantum inverse scattering method. The universal BaxterQ operator is obtained from a certain infinite dimensional representation called qoscillator representation of the universalR matrix for the U_{q}(ŝl_{2}) affine algebra (first proposed by V. Bazhanov, S. Lukyanov and A. Zamolodchikov [hepth/9604044] for the quantum KdV case). We also examine the algebraic properties of the Qoperator.
 Publication:

Physics Letters B
 Pub Date:
 February 1997
 DOI:
 10.1016/S03702693(96)015262
 arXiv:
 arXiv:hepth/9603105
 Bibcode:
 1997PhLB..392..115A
 Keywords:

 High Energy Physics  Theory;
 Mathematics  Quantum Algebra
 EPrint:
 14 pages, Latex file, corrected references and acknowledgments