Algebraic integration of sigma-model field equations

N. T. Yilmaz

Çankaya University

Abstract: We prove that the dualization algebra of the sigma model with a symmetric coset space is a Lie algebra and show that it generates an appropriate adjoint representation that allows integrating the field equations locally, which yields first-order equations.

Keywords: sigma model, first-order formulation, dualization algebra.

DOI: 10.4213/tmf6348

 English version: Theoretical and Mathematical Physics, 2009, 159:2, 640–653

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