Exact Solutions of G-Invariant Chiral Equations

Abstract

We give a methodology for solving the chiral equations $(\alpha g_{,z}{g}^{-1}{)}_{,\overline{z}}+(\alpha g_{,\overline{z}}{g}^{-1}{)}_{,z}=0$ where $g$ belongs to some Lie group $G$. The solutions are writing in terms of Harmonic maps. The method could be used even for some infinite Lie groups. (Preprint CIEA-gr-94/06)

8 TeX pages. Seminar presented at the First Mexican-Russian Meeting on Mathematical Physics, Mexico city, 1993

References in corpus (2)

• Self-dual gravity and the chiral model
• Axisymmetric Stationary Solutions as Harmonic Maps

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