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arXiv:1809.04460 · Nuclear Physics B

Exceptional solutions to the eight-vertex model and integrability of anisotropic extensions of massive fermionic models

A. Melikyan, G. Weber

Published Dec 12, 2018• 4 citations
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Abstract

We consider several anisotropic extensions of the Belavin model, and show that integrability holds also for the massive case for some specific relations between the coupling constants. This is done by relating the S-matrix factorization property to the exceptional solutions of the eight-vertex model. The relation of exceptional solutions to the XXZ and six-vertex models is also shown.

DOI
10.1016/j.nuclphysb.2018.12.011

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The general solutions for the factorization equations of the reflection matrices Kpm(theta)K^{\\pm}(\\theta)Kpm(theta) for the eight vertex and six vertex models (XYZ, XXZ and XXX chains) are found. The associated integrable magnetic Hamiltonians are explicitly derived, finding families dependig on several continuous as well as discrete parameters.