The elliptic scattering theory of the 1/2-XYZ and higher order Deformed Virasoro Algebras

Abstract

Bound state excitations of the spin 1/2-XYZ model are considered inside the Bethe Ansatz framework by exploiting the equivalent Non-Linear Integral Equations. Of course, these bound states go to the sine-Gordon breathers in the suitable limit and therefore the scattering factors between them are explicitly computed by inspecting the corresponding Non-Linear Integral Equations. As a consequence, abstracting from the physical model the Zamolodchikov-Faddeev algebra of two $n$-th elliptic breathers defines a tower of $n$-order Deformed Virasoro Algebras, reproducing the $n=1$ case the usual well-known algebra of Shiraishi-Kubo-Awata-Odake \cite{SKAO}.

arXiv commentLatex version, 13 pages

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• A note on the algebraic engineering of 4D $\mathcal{N}=2$ super Yang-Mills theories
• On q-deformed infinite-dimensional n-algebra
• Lattice models, deformed Virasoro algebra and reduction equation
• Scattering matrix for current-current deformations of the (2,2s+1) RSOS models