# 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} }

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…

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