Virasoro作用和调和映射(Schwarz之后)
Virasoro Actions and Harmonic Maps (after Schwarz)
摘要:
半Virasoro代数的作用在许多可积系统中都有出现。本文证明了(半)Virasoro代数在到李群的(2+0)调和映射空间上的作用。该动作由框架上的自然动作生成。对时空(1+1)调和映射的类似计算产生了约翰·施瓦茨(John Schwarz)生成的公式。
英文摘要:
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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