Virasoro Actions and Harmonic Maps (after Schwarz)

Details Virasoro Actions and Harmonic Maps (after Schwarz) Virasoro Actions and Harmonic Maps (after Schwarz)

2006-09-20

arxiv.org/abs/math/0609580v1

Mathematics

Differential Geometry

13 pages

Scientific paper

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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