Solving Baxter's TQ-equation via representation theory
数学物理
2007-05-23 v2 统计力学
math.MP
可精确求解与可积系统
摘要
Baxter's TQ-equation is solved for the six-vertex model using the representation theory of quantum groups at roots of unity. A novel simplified construction of the Q-operator is given depending on a new free parameter. Specializing this general construction to even roots of unity and lattices with an odd number of columns two linearly independent operator solutions of Baxter's TQ equation are obtained as special limits.
引用
@article{arxiv.math-ph/0411034,
title = {Solving Baxter's TQ-equation via representation theory},
author = {Christian Korff},
journal= {arXiv preprint arXiv:math-ph/0411034},
year = {2007}
}
备注
13 pages. Submitted to the Proceedings "Non-Commutative Geometry & Representation Theory in Mathematical Physics", July 2004, Karlstads Universitet, Karlstad, Sweden. Improved introduction and references added