Virasoro Actions and Harmonic Maps (after Schwarz)
Karen Uhlenbeck, Mihaela Vajiac
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.
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