Virasoro actions and harmonic maps (after Schwarz)
Vajiac, Mihaela ; Uhlenbeck, Karen
J. Differential Geom., Tome 78 (2008) no. 1, p. 327-341 / Harvested from Project Euclid
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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.
Publié le : 2008-10-15
Classification:  
@article{1221066634,
     author = {Vajiac, Mihaela and Uhlenbeck, Karen},
     title = {Virasoro actions and harmonic maps (after Schwarz)},
     journal = {J. Differential Geom.},
     volume = {78},
     number = {1},
     year = {2008},
     pages = { 327-341},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1221066634}
}

Vajiac, Mihaela; Uhlenbeck, Karen. Virasoro actions and harmonic maps (after Schwarz). J. Differential Geom., Tome 78 (2008) no. 1, pp.  327-341. http://gdmltest.u-ga.fr/item/1221066634/