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

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

2008-09-02

arxiv.org/abs/0809.0421v3

Nonlinear Sciences

Exactly Solvable and Integrable Systems

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

Scientific paper

The graded reflection equation is investigated for the
$U_{q}[osp(r|2m)^{(1)}]$ 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 ($r$) and fermionic ($2m$) degrees of freedom.

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