Scattering of Noncommutative Waves and Solitons in a Supersymmetric Chiral Model in 2+1 Dimensions

TL;DR

This paper develops an exact method to analyze interactions of noncommutative waves and solitons in a supersymmetric 2+1 dimensional chiral model, providing explicit solutions and scattering configurations.

Contribution

It introduces a Moyal-deformed dressing method in superspace to construct explicit time-dependent solutions for noncommutative field equations.

Findings

Constructed explicit scattering solutions for noncommutative U(2) waves and solitons.

Demonstrated bound states in noncommutative U(1) models.

Provided a framework for analyzing noncommutative soliton interactions.

Abstract

Interactions of noncommutative waves and solitons in 2+1 dimensions can be analyzed exactly for a supersymmetric and integrable U(n) chiral model extending the Ward model. Using the Moyal-deformed dressing method in an antichiral superspace, we construct explicit time-dependent solutions of its noncommutative field equations by iteratively solving linear equations. The approach is illustrated by presenting scattering configurations for two noncommutative U(2) plane waves and for two noncommutative U(2) solitons as well as by producing a noncommutative U(1) two-soliton bound state.