Virasoro Actions and Harmonic Maps (after Schwarz)
Differential Geometry
2007-05-23 v1 Classical Analysis and ODEs
Exactly Solvable and Integrable Systems
Abstract
The actions of a half Virasoro algebra have appeared in many integrable systems. In this paper we show that there is an action of a (Half) Virasoro algebra on the space of (2+0) harmonic maps into a Lie group. This action is generated by a natural action on the frames. A similar calculation on the space-time (1+1) harmonic maps yields formulas generated by John Schwarz.
Keywords
Cite
@article{arxiv.math/0609580,
title = {Virasoro Actions and Harmonic Maps (after Schwarz)},
author = {Karen Uhlenbeck and Mihaela Vajiac},
journal= {arXiv preprint arXiv:math/0609580},
year = {2007}
}
Comments
13 pages