Geodesic
Algebraic integration of sigma-model field equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 2, pp. 266-282

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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. 
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     author = {N. T. Yilmaz},
     title = {Algebraic integration of sigma-model field equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {266--282},
     publisher = {mathdoc},
     volume = {159},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2009_159_2_a6/}
}
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N. T. Yilmaz. Algebraic integration of sigma-model field equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 2, pp. 266-282. http://geodesic.mathdoc.fr/item/TMF_2009_159_2_a6/