General boundary conditions for the sl(N) and sl(M|N) open spin chains
数学物理
2011-02-16 v3 高能物理 - 理论
math.MP
摘要
Two types of boundary conditions ("soliton preserving" and "soliton non-preserving") are investigated for the sl(n) and sl(m|n) open spin chains. The appropriate reflection equations are formulated and the corresponding solutions are classified. The symmetry and the Bethe Ansatz equations are derived for each case. The general treatment for non-diagonal reflection matrices associated to "soliton preserving" case is worked out. The connection between the "soliton non-preserving" boundary conditions and the twisted (super) Yangians is also discussed.
引用
@article{arxiv.math-ph/0406021,
title = {General boundary conditions for the sl(N) and sl(M|N) open spin chains},
author = {Daniel Arnaudon and Jean Avan and Nicolas Crampe and Anastasia Doikou and Luc Frappat and Eric Ragoucy},
journal= {arXiv preprint arXiv:math-ph/0406021},
year = {2011}
}
备注
37 pages