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Virasoro Actions and Harmonic Maps (after Schwarz)

Karen Uhlenbeck·Mihaela Vajiac
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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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BibTeXRIS

Karen Uhlenbeck, Mihaela Vajiac. 2006-09-20. Virasoro Actions and Harmonic Maps (after Schwarz). https://arxiv.org/abs/math/0609580

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