PIRSA:11080048

Fermionic Basis of Local Fields in the Sine-Gordon Model

Jimbo, M. (2011). Fermionic Basis of Local Fields in the Sine-Gordon Model. Perimeter Institute. https://pirsa.org/11080048

Jimbo, Michio. Fermionic Basis of Local Fields in the Sine-Gordon Model. Perimeter Institute, Aug. 16, 2011, https://pirsa.org/11080048 

          @misc{ pirsa_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},
            year = {2011},
            month = {aug},
            note = {PIRSA:11080048 see, \url{https://pirsa.org}}
          }

Michio Jimbo University of Tokyo

DOI 10.48660/11080048
Collection
Talk Type Conference

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.