Virasoro Actions and Harmonic Maps (after Schwarz)

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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.
13 pages

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Differential Geometry, Classical Analysis and ODEs, Exactly Solvable and Integrable Systems, 53C43,58E20,53Z05

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http://salesiana.dossiersoluciones.com/handle/123456789/116593

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609580
 http://arxiv.org/abs/math/0609580

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arXiv