• Corpus ID: 15207395

Aspects of Symmetry in Sine-Gordon Theory

@article{Fioravanti2001AspectsOS,
  title={Aspects of Symmetry in Sine-Gordon Theory},
  author={Davide Fioravanti},
  journal={arXiv: High Energy Physics - Theory},
  year={2001}
}

• 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 meaning and enter the Form Factor expressions of quantum theory. At the end, I will also give some preliminary hints about the quantisation.