Degeneration of the Elliptic Algebra $A_{q,p}(\widehat{sl_2})$ and Form Factors in the sine-Gordon Theory

Hitoshi Konno

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arXiv · hep-th/9701034

Degeneration of the Elliptic Algebra $A_{q,p}(\widehat{sl_2})$ and Form Factors in the sine-Gordon Theory

Hitoshi Konno

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Abstract

Following the work with Jimbo and Miwa, we introduce a certain degeneration of the elliptic algebra $A_{q,p}(\widehat{sl_2})$ and its boson realization. We investigate its rational limit. The limit is the central extension of the Yangian double DY(sl_2) at level one. We give a new boson realization of it. Based on these algebras, we reformulate the Smirnov's form factor bootstrap approach to the sine-Gordon theory and the SU(2) invariant Thirring model. A conjectural integral formula for form factor in the sine-Gordon theory is derived.

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Hitoshi Konno. 1997-01-09. Degeneration of the Elliptic Algebra $A_{q,p}(\widehat{sl_2})$ and Form Factors in the sine-Gordon Theory. https://arxiv.org/abs/hep-th/9701034

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