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arXiv:hep-th/9610079

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

Michio Jimbo, Hitoshi Konno, Tetsuji Miwa

Published Oct 11, 1996• 16 citations
arXivHTMLPDF

Abstract

We 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.

DOI
10.48550/arxiv.hep-th/9610079

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