• Corpus ID: 15207395

Aspects of Symmetry in Sine-Gordon Theory

  title={Aspects of Symmetry in Sine-Gordon Theory},
  author={Davide Fioravanti},
  journal={arXiv: High Energy Physics - Theory},
  • D. Fioravanti
  • Published 30 November 2001
  • Mathematics
  • arXiv: High Energy Physics - Theory
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 $c=1$ unperturbed limit. Although it is quasi-local in the SG field theory, nevertheless it gives rise to a local action on $N$-soliton solution variables. I will explicitly write the action on special variables, which possess a beautiful geometrical… 



Hidden Virasoro symmetry of (soliton solutions of) the sine-Gordon theory

Quantum group symmetries and non-local currents in 2D QFT

We construct and study the implications of some new non-local conserved currents that exist is a wide variety of massive integrable quantum field theories in 2 dimensions, including the sine-Gordon

Hidden local, quasi-local and non-local symmetries in integrable systems

Null-Vectors in Integrable Field Theory

Abstract:The form factor bootstrap approach allows to construct the space of local fields in the massive restricted sine-Gordon model. This space has to be isomorphic to that of the corresponding

On the Null Vectors in the Spectra of the 2D Integrable Hierarchies

Nonisospectral Symmetries of the KdV Equation and the Corresponding Symmetries of the Whitham Equations

In our paper we construct a new infinite family of symmetries of the Whitham equations (averaged Korteveg-de-Vries equation). In contrast with the ordinary hydrodynamic-type flows these symmetries

Hidden quantum group symmetry and integrable perturbations of conformal field theories

The hidden quantum group symmetry in the quantum Sine-Gordon model is found. This symmetry provides the possibility to restrict the operator algebra of the model to subalgebras. It is shown that

Hamiltonian methods in the theory of solitons

The Nonlinear Schrodinger Equation (NS Model).- Zero Curvature Representation.- The Riemann Problem.- The Hamiltonian Formulation.- General Theory of Integrable Evolution Equations.- Basic Examples