Degeneration of the Elliptic Algebra A q , p ( ŝl 2 ) and Form Factors in the sine-Gordon Theory

@inproceedings{Konno1997DegenerationOT,
  title={Degeneration of the Elliptic Algebra A q , p ( ŝl 2 ) and Form Factors in the sine-Gordon Theory},
  author={Hitoshi Konno},
  year={1997}
}
Following the work with Jimbo and Miwa[1], we introduce a certain degeneration of the elliptic algebra Aq,p ( ŝl2 ) and its boson realization. We investigate its rational limit. The limit is the central extension of the Yangian double DY (sl2) 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… CONTINUE READING