Aspects of Symmetry in Sine-Gordon Theory
arXiv:hep-th/0111289
Abstract
As a prototype of powerful non-abelian symmetry in an Integrable System, I will show the appearance of a Witt algebra of vector fields in the SG theory. This symmetry does not share anything with the well-known Virasoro algebra of the conformal unperturbed limit. Although it is quasi-local in the SG field theory, nevertheless it gives rise to a local action on -soliton solution variables. I will explicitly write the action on special variables, which possess a beautiful geometrical meaning and enter the Form Factor expressions of quantum theory. At the end, I will also give some preliminary hints about the quantisation.
11 Latex pages