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October 2008 Virasoro actions and harmonic maps (after Schwarz)
Mihaela Vajiac, Karen Uhlenbeck
J. Differential Geom. 80(2): 327-341 (October 2008). DOI: 10.4310/jdg/1221066634


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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Mihaela Vajiac. Karen Uhlenbeck. "Virasoro actions and harmonic maps (after Schwarz)." J. Differential Geom. 80 (2) 327 - 341, October 2008.


Published: October 2008
First available in Project Euclid: 10 September 2008

zbMATH: 1153.53046
MathSciNet: MR2454896
Digital Object Identifier: 10.4310/jdg/1221066634

Rights: Copyright © 2008 Lehigh University

Vol.80 • No. 2 • October 2008
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