English

Non-diagonal solutions of the reflection equation for the trigonometric $A^{(1)}_{n-1}$ vertex model

High Energy Physics - Theory 2010-01-08 v2 Mathematical Physics math.MP Exactly Solvable and Integrable Systems

Abstract

We obtain a class of non-diagonal solutions of the reflection equation for the trigonometric An1(1)A^{(1)}_{n-1} vertex model. The solutions can be expressed in terms of intertwinner matrix and its inverse, which intertwine two trigonometric R-matrices. In addition to a {\it discrete} (positive integer) parameter ll, 1ln1\leq l\leq n, the solution contains n+2n+2 {\it continuous} boundary parameters.

Cite

@article{arxiv.hep-th/0411160,
  title  = {Non-diagonal solutions of the reflection equation for the trigonometric $A^{(1)}_{n-1}$ vertex model},
  author = {Wen-Li Yang and Yao-Zhong Zhang},
  journal= {arXiv preprint arXiv:hep-th/0411160},
  year   = {2010}
}

Comments

Latex file, 14 pages; V2, minor typos corrected and a reference added