Current algebra and the~nonlinear $\sigma$-model
Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 3, pp. 405-412

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We present the current algebra of a particular form in the nonlinear $\sigma$-model. The algebra has a non-Abelian form with field-dependent structure functions. We comment on the connection of the model with noncommutative space.
Keywords: current algebra, nonlinear $\sigma$-model, noncommutative phase space.
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     author = {S. Ghosh},
     title = {Current algebra and the~nonlinear $\sigma$-model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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S. Ghosh. Current algebra and the~nonlinear $\sigma$-model. Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 3, pp. 405-412. http://geodesic.mathdoc.fr/item/TMF_2007_151_3_a7/