Q-operators in the six-vertex model
Abstract
In this paper we continue the study of -operators in the six-vertex model and its higher spin generalizations. In [1] we derived a new expression for the higher spin -matrix associated with the affine quantum algebra . Taking a special limit in this -matrix we obtained new formulas for the -operators acting in the tensor product of representation spaces with arbitrary complex spin. Here we use a different strategy and construct -operators as integral operators with factorized kernels based on the original Baxter's method used in the solution of the eight-vertex model. We compare this approach with the method developed in [1] and find the explicit connection between two constructions. We also discuss a reduction to the case of finite-dimensional representations with (half-) integer spins.
Cite
@article{arxiv.1406.0662,
title = {Q-operators in the six-vertex model},
author = {Vladimir V. Mangazeev},
journal= {arXiv preprint arXiv:1406.0662},
year = {2014}
}
Comments
18 pages, no figures