Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-03-08
Phys.Lett. B378 (1996) 175-180
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, Latex
Scientific paper
10.1016/0370-2693(96)00418-2
We show that the classical non-abelian pure Chern-Simons action is related in a natural way to completely integrable systems of the Davey-Stewartson hyerarchy, via reductions of the gauge connection in Hermitian spaces and by performing certain gauge choices. The B\"acklund Transformations are interpreted in terms of Chern-Simons equations of motion or, on the other hand, as a consistency condition on the gauge. A mapping with a nonlinear $\sigma$-model is discussed.
Martina Luigi
Pashaev Oktay K.
Soliani Giulio
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