Massless $XXZ$ Model and Degeneration of the Elliptic Algebra $A_{q,p}(\widehat{sl_2})$

dc.creatorJimbo, Michio
dc.creatorKonno, Hitoshi
dc.creatorMiwa, Tetsuji
dc.date1996-10-11
dc.date.accessioned2026-07-07T04:22:44Z
dc.date.available2026-07-07T04:22:44Z
dc.descriptionWe consider an algebraic structure of the $XXZ$ model in the gapless regime. We argue that a certain degeneration limit of the elliptic algebra $A_{q,p}(\widehat{sl_2})$ is a relevant object. We give a free boson realization of this limiting algebra and derive an integral formula for the correlation function. The result agrees with the one obtained by solving a system of difference equations. We also discuss the relation of our algebra to the deformed Virasoro algebra and Lukyanov's bosonization of the sine-Gordon theory.
dc.description22 pages, PS file, to appear in the proceedings of the conference ``Deformation Theory, Symplectic Geometry and Applications'', Centro Stefano Franscini of ETH Zürich, Monte Verità, CH-6612 Ascona, June 16-22, 1996
dc.identifierhttps://arxiv.org/abs/hep-th/9610079
dc.identifierhttp://arxiv.org/abs/hep-th/9610079
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/54767
dc.subjectHigh Energy Physics - Theory
dc.titleMassless $XXZ$ Model and Degeneration of the Elliptic Algebra $A_{q,p}(\widehat{sl_2})$
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