Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-10-20
Int. J. Mod. Phys. A9 (1994) 4921-4948
Physics
High Energy Physics
High Energy Physics - Theory
30 pages, Latex
Scientific paper
The sector of zero $Z_{N}$-charge is studied for the ferromagnetic (FM) and antiferromagnetic (AFM) version of the $Z_{N}\times Z_{2}$ invariant Fateev-Zamolodchikov quantum spin chain. We conjecture that the relevant Bethe ansatz equations should admit, beside the usual string-like solutions, exceptional multiplets, and a number of non-physical solutions. Once the physical ones are identified, we show how to get completeness and the gapless excitation spectrum. The central charge is computed from the specific heat and found to be $c=2\frac{N-1}{N+2}$ (FM) and $c=1$ (AFM).
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