A method for solve integrable $A_2$ spin chains combining different representations
High Energy Physics - Theory
2009-10-30 v1 Quantum Algebra
q-alg
Abstract
A non homogeneous spin chain in the representations and of is analyzed. We find that the naive nested Bethe ansatz is not applicable to this case. A method inspired in the nested Bethe ansatz, that can be applied to more general cases, is developed for that chain. The solution for the eigenvalues of the trace of the monodromy matrix is given as two coupled Bethe equations different from that for a homogeneous chain. A conjecture about the form of the solutions for more general chains is presented. PACS: 75.10.Jm, 05.50+q 02.20 Sv
Keywords
Cite
@article{arxiv.hep-th/9603046,
title = {A method for solve integrable $A_2$ spin chains combining different representations},
author = {Julio Abad and Miguel Rios},
journal= {arXiv preprint arXiv:hep-th/9603046},
year = {2009}
}
Comments
PlainTeX, harvmac, 13 pages, 3 figures, to appear in Phys. Rev. B