椭圆代数$A_{q,p}(\widehat{sl_2})$的退化与sine-Gordon理论中的形状因子
Degeneration of the Elliptic Algebra $A_{q,p}(\widehat{sl_2})$ and Form Factors in the sine-Gordon Theory
摘要：
继Jimbo和Miwa的工作之后，我们引入了椭圆代数$A_{q,p}(\widehat{sl_2})$的某种退化及其玻色子实现。我们研究了它的合理极限。其极限是Yangian二重DY（sl_2）在第一层的中心扩张。基于这些代数，我们将Smirnov的形状因子引导方法重新表述为sine-Gordon理论和SU（2）不变Thirring模型.本文导出了sine-Gordon理论中形状因子的积分公式。
英文摘要：
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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