A Generalized Q-operator for U_q(\hat(sl_2)) Vertex Models
数学物理
2008-11-26 v2 统计力学
高能物理 - 理论
math.MP
量子代数
摘要
In this paper, we construct a Q-operator as a trace of a representation of the universal R-matrix of over an infinite-dimensional auxiliary space. This auxiliary space is a four-parameter generalization of the q-oscillator representations used previously. We derive generalized T-Q relations in which 3 of these parameters shift. After a suitable restriction of parameters, we give an explicit expression for the Q-operator of the 6-vertex model and show the connection with Baxter's expression for the central block of his corresponding operator.
引用
@article{arxiv.math-ph/0207004,
title = {A Generalized Q-operator for U_q(\hat(sl_2)) Vertex Models},
author = {Marco Rossi and Robert Weston},
journal= {arXiv preprint arXiv:math-ph/0207004},
year = {2008}
}
备注
22 pages, Latex2e. This replacement is a revised version that includes a simple explicit expression for the Q matrix for the 6-vertex model