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arXiv · hep-th/9312008

Quantum Group Invariant Integrable n-State Vertex Models with Periodic Boundary Conditions

M. Karowski·A. Zapletal
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Abstract

An $U_q(sl(n))$ invariant transfer matrix with periodic boundary conditions is analysed by means of the algebraic nested Bethe ansatz for the case of $q$ 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] $.

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M. Karowski, A. Zapletal. 1993-12-02. Quantum Group Invariant Integrable n-State Vertex Models with Periodic Boundary Conditions. https://doi.org/10.1016/0550-3213(94)90345-x

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