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arXiv:hep-th/9312008 · Nuclear Physics B

Quantum-group-invariant integrable n-state vertex models with periodic boundary conditions

M. Karowski, A. Zapletal

Published May 1, 1994• 37 citations
arXivHTMLPDF
DOI
10.1016/0550-3213(94)90345-x

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An Uq(sl(n))U_q(sl(n))Uq​(sl(n)) invariant transfer matrix with periodic boundary conditions is analysed by means of the algebraic nested Bethe ansatz for the case of qqq being a root of unity. The transfer matrix corresponds to a 2-dimensional vertex model on a torus with topological interaction w.r.t. the 3-dimensional interior of the torus. By means of finite size analysis we find the central charge of the corresponding Virasoro algebra as $c=(n-1) \\left[1-n(n+1)/(r(r-1))\\right] $.