中文

非紧致SL(N,C)不变自旋链的R矩阵与Baxter Q算子

可精确求解与可积系统 2008-12-19 v1 高能物理 - 理论 数学物理 math.MP 量子代数

摘要

本文考虑了构造SL(N,C)SL(N,\mathbb{C})不变的Yang-Baxter方程解的问题。对于SL(N,C)SL(N,\mathbb{C})的任意主序列表示,以显式形式获得了其解(R\mathcal{R}-算子)。我们构造了算子族Qk(u)\mathcal{Q}_k(u)的交换族,该算子族可被识别为非紧致SL(N,C)SL(N,\mathbb{C})自旋磁体的Baxter算子。

关键词

引用

@article{arxiv.nlin/0612003,
  title  = {R-Matrix and Baxter Q-Operators for the Noncompact SL(N,C) Invariant Spin Chain},
  author = {Sergey E. Derkachov and Alexander N. Manashov},
  journal= {arXiv preprint arXiv:nlin/0612003},
  year   = {2008}
}

备注

This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/