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

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

2006-02-08

arxiv.org/abs/hep-th/0602080v1

AnnalesHenriPoincare7:1449-1462,2006

Physics

High Energy Physics

High Energy Physics - Theory

Latex version, 13 pages

Scientific paper

10.1007/s00023-006-0287-3

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}.

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