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

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

2008-10-09

arxiv.org/abs/0810.1766v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

20 pages, LaTex

Scientific paper

10.1088/1742-5468/2009/04/P04005

We propose a classification of the solutions of the graded reflection equations to the $U_{q}[spo(2n|2m)]$ 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 ($2n$) and fermionic ($2m$) degrees of freedom while in the diagonal ones we find solutions with at most one free parameter.

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