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arXiv · hep-th/9603048

Chern-Simons Field Theory and Completely Integrable Systems

L. Martina·O. K. Pashaev·G. Soliani
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Abstract

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 Bäcklund 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 $σ$-model is discussed.

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L. Martina, O. K. Pashaev, G. Soliani. 1996-03-08. Chern-Simons Field Theory and Completely Integrable Systems. https://doi.org/10.1016/0370-2693(96)00418-2

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