On higher spin Uq(sl_2)-invariant R-matrices
量子代数
2007-05-23 v2 可精确求解与可积系统
摘要
The spectral decomposition of regular Uq(sl_2)-invariant solutions of the Yang-Baxter equation is studied. An algorithm for finding all possible solutions of spin s is developed. It also allows to reconstruct the R-matrix from a given nearest neighbour spin chain Hamiltonian. The algorithm is based on reduction of the Yang-Baxter equation to certain subspaces. As an application, the complete list of inequivalent regular Uq(sl_2)-invariant R-matrices is obtained for generic q and spins up to s=3/2. Some further results about spectral decompositions for higher spins are also obtained. In particular, it is proved that certain types of regular sl_2-invariant R-matrices have no Uq(sl_2)-invariant counterparts.
引用
@article{arxiv.math/0412482,
title = {On higher spin Uq(sl_2)-invariant R-matrices},
author = {Andrei Bytsko},
journal= {arXiv preprint arXiv:math/0412482},
year = {2007}
}
备注
17 pages, LaTeX 2e