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Physics Letters A

Classification and completeness of Bethe states and excitation spectrum for the spin 4 Fateev-Zamolodchikov model

Subhankar Ray

Published Nov 1, 1996• 3 citations
Publisher
DOI
10.1016/s0375-9601(96)00683-4

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The sector of zero ZN charge is studied for the ferromagnetic (FM) and antiferromagnetic (AFM) version of the (ZN×Z2)-invariant Fateev-Zamolodchikov quantum spin chain. We conjecture that the relevant Bethe ansatz equations should admit, besides the usual stringlike solutions, exceptional multiplets, and a number of nonphysical solutions. Once the physical ones are identified, we show how completeness and the gapless excitation spectrum can be obtained. The central charge is computed from the specific heat and found to be [Formula: see text] (FM) and c=1 (AFM).