English

Reflection matrices for the $U_{q}[osp(r|2m)^{(1)}]$ vertex model

Exactly Solvable and Integrable Systems 2009-02-18 v3 High Energy Physics - Theory

Abstract

The graded reflection equation is investigated for the Uq[osp(r2m)(1)]U_{q}[osp(r|2m)^{(1)}] vertex model. We have found four classes of diagonal solutions with at the most one free parameter and twelve classes of non-diagonal ones with the number of free parameters depending on the number of bosonic (rr) and fermionic (2m2m) degrees of freedom.

Cite

@article{arxiv.0809.0421,
  title  = {Reflection matrices for the $U_{q}[osp(r|2m)^{(1)}]$ vertex model},
  author = {A. Lima-Santos},
  journal= {arXiv preprint arXiv:0809.0421},
  year   = {2009}
}

Comments

33 pages, LaTex, corrected some misprints, appendix and references added

R2 v1 2026-06-21T11:16:04.185Z