Supersymmetric noncommutative solitons

TL;DR

This paper constructs explicit multi-soliton solutions in a supersymmetric noncommutative gauge theory derived from topological string theory, using the dressing method in a reduced chiral model.

Contribution

It introduces a noncommutative extension of a supersymmetric Bogomolny-type model and applies the dressing method to find multi-soliton solutions.

Findings

Explicit multi-soliton configurations on noncommutative R^{2,1|2N}

Extension of supersymmetric models to noncommutative geometry

Application of the dressing method to construct solutions

Abstract

I consider a supersymmetric Bogomolny-type model in 2+1 dimensions originating from topological string theory. By a gauge fixing this model is reduced to a supersymmetric U(n) chiral model with a Wess-Zumino-Witten-type term in 2+1 dimensions. After a noncommutative extension of the model, I employ the dressing method to construct explicit multi-soliton configurations on noncommutative R^{2,1|2N}.