Moving vortices in noncommutative gauge theory

TL;DR

This paper presents exact, moving vortex solutions in noncommutative Chern-Simons gauge theory, demonstrating their ability to move with arbitrary velocities via a novel boost symmetry, expanding understanding of dynamic solutions in such theories.

Contribution

It introduces a new class of exact, time-dependent vortex solutions that can move with arbitrary velocities, derived from static solutions using a recently discovered exotic boost symmetry.

Findings

Solutions can move with arbitrary constant velocity.

Solutions are obtained from static solutions via exotic boost symmetry.

Distinct from previously known solutions by Hadasz et al.

Abstract

Exact time-dependent solutions of nonrelativistic noncommutative Chern - Simons gauge theory are presented in closed analytic form. They are different from (indeed orthogonal to) those discussed recently by Hadasz, Lindstrom, Rocek and von Unge. Unlike theirs, our solutions can move with an arbitrary constant velocity, and can be obtained from the previously known static solutions by the recently found ``exotic'' boost symmetry.