Reflection matrices for the $U_{q}[spo(2n|2m)]$ vertex model

A. Lima-Santos

doi:10.1088/1742-5468/2009/04/P04005

paper

Reflection matrices for the $U_{q} [s p o (2 n ∣2 m)]$ vertex model

arXiv:0810.1766 · doi:10.1088/1742-5468/2009/04/P04005

Abstract

We propose a classification of the solutions of the graded reflection equations to the $U_{q} [s p o (2 n ∣2 m)]$ vertex model. We find twelve distinct classes of reflection matrices such that four of them are diagonal. In the non-diagonal matrices the number of free parameters depending on the number of bosonic ( $2 n$ ) and fermionic ( $2 m$ ) degrees of freedom while in the diagonal ones we find solutions with at most one free parameter.

20 pages, LaTex

Reflection matrices for the Uq​[spo(2n∣2m)] vertex model

Abstract

Reflection matrices for the $U_{q} [s p o (2 n ∣2 m)]$ vertex model