Factorization of R-matrix and Baxter's Q-operator
Quantum Algebra
2009-01-08 v2 High Energy Physics - Theory
Representation Theory
Exactly Solvable and Integrable Systems
Abstract
The general rational solution of the Yang-Baxter equation with the symmetry algebra sl(2) can be represented as the product of the simpler building blocks denoted as R-operators. The R-operators are constructed explicitly and have simple structure. Using the R-operators we construct the two-parametric Baxter's Q-operator for the generic inhomogeneous periodic XXX spin chain. In the case of homogeneous XXX spin chain it is possible to reduce the general Q-operator to the much simpler one-parametric operator.
Keywords
Cite
@article{arxiv.math/0507252,
title = {Factorization of R-matrix and Baxter's Q-operator},
author = {S. E. Derkachov},
journal= {arXiv preprint arXiv:math/0507252},
year = {2009}
}
Comments
17 pages