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Virasoro actions and harmonic maps

Mihaela Vajiac University of Texas at Austin Karen Uhlenbeck University of Texas at Austin

Differential Geometry mathscidoc:1609.10083

Journal of Differential Geometry, 80, (2), 327-341, 2008
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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@inproceedings{mihaela2008virasoro,
  title={VIRASORO ACTIONS AND HARMONIC MAPS},
  author={Mihaela Vajiac, and Karen Uhlenbeck},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160909135711091358740},
  booktitle={Journal of Differential Geometry},
  volume={80},
  number={2},
  pages={327-341},
  year={2008},
}
Mihaela Vajiac, and Karen Uhlenbeck. VIRASORO ACTIONS AND HARMONIC MAPS. 2008. Vol. 80. In Journal of Differential Geometry. pp.327-341. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160909135711091358740.
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