Fateev-Zamolodchikov spin chain: Excitation spectrum, completeness and thermodynamics

Albertini, Giuseppe

doi:10.1142/S0217751X94001977

Fateev-Zamolodchikov spin chain: Excitation spectrum, completeness and thermodynamics

Giuseppe Albertini
(
- SUNY, Stony Brook
)

Oct 25, 1993

30 pages

Published in:

Int.J.Mod.Phys.A 9 (1994) 4921-4948

e-Print:

hep-th/9310133 [hep-th]

DOI:

10.1142/S0217751X94001977

Report number:

ITP-SB-93-64,
SB-ITP-93-64

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Abstract: (arXiv)

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).

Note:

30 pages, Latex

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