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arXiv:cond-mat/9701211 · Journal of Physics A Mathematical and General

Quantum group invariant supersymmetrict-Jmodel with periodic boundary conditions

Angela Foerster

Published Dec 7, 1996• 20 citations
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Abstract

An integrable version of the supersymmetric t - J model which is quantum group invariant as well as periodic is introduced and analysed in detail. The model is solved through the algebraic nested Bethe ansatz method.
DOI
10.1088/0305-4470/29/23/023

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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] $.