Diagonalization of boundary transfer matrix for the Uq,p(sl^(3,C))U_{q,p}(\hat{sl}(3,{\bf C})) ABF model

preprint2009arXivOpen access

Abstract

We construct a free field realization of the ground state of the boundary transfer matrix for the Uq,p(sl^3)U_{q,p}(\hat{sl}_3) ABF model. Using this ground state and type-II vertex operator, we have a diagonalization of the boundary transfer matrix.

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