Reflection matrices for the U_q[osp(r|2m)⁽¹⁾] vertex model

2008/09/02 by A. Lima-Santos, Lima-Santos, A.
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #hep-th #nlin.SI

paper · pdf · doi:10.48550/arxiv.0809.0421

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

arxiv created 2009/02/18 · arxiv updated 2009/12/01

Abstract

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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