Physics – Mathematical Physics
Scientific paper
2008-06-03
J.Math.Phys.49:012301,2008
Physics
Mathematical Physics
12 pages
Scientific paper
10.1063/1.2824480
The first-order formulation of the principal sigma model with a Lie group target space is performed. By using the dualisation of the algebra and the field content of the theory the field equations which are solely written in terms of the field strengths are realized through an extended symmetry algebra parametrization. The structure of this symmetry algebra is derived so that it generates the realization of the field equations in a Bianchi identity of the current derived from the extended parametrization.
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