Fermionic Basis of Local Fields in the Sine-Gordon Model

          @misc{ scivideos_PIRSA:11080048,
            doi = {10.48660/11080048},
            url = {https://pirsa.org/11080048},
            author = {Jimbo, Michio},
            keywords = {},
            language = {en},
            title = {Fermionic Basis of Local Fields in the Sine-Gordon Model},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2011},
            month = {aug},
            note = {PIRSA:11080048 see, \url{https://scivideos.org/index.php/pirsa/11080048}}
          }
          

Abstract

In this talk we give a survey of recent developments concerning the fermionic structure in the sine-Gordon model. For the lattice counterpart (6 vertex model), we introduce fermions acting on the space of (quasi) local operators. The main theorem is a determinant formula for the expectation values of fermionic descendants of primary fields. In the continuum limit this construction gives rise to a basis of the space of all descendant fields, whose expectation values take a very simple form. Unexpectedly, it turns out that the action of our fermions on form factors coincides with yet another fermions which have been introduced some time ago by Babelon, Bernard and Smirnov.