E-mail: davidef@he.sissa.it

Aspects of Symmetry in Sine-Gordon Theory

Abstract:
By using a generalization of the technique of (matrix) dressing, I will illustrate the apparence of a dynamical Virasoro symmetry in the (classical) Sine-Gordon Theory (SGT). I will also explain how it is possible to define a classical counterpart of the Quantum Restricted SGT and in which way this symmetry still holds. Eventually, I will exhibit a brief excursus about quantisation of Lax operators and consequent arising of braided Yang-Baxter algebras for Quantum Restricted SGT.