Non BPS noncommutative vortices

TL;DR

This paper constructs exact vortex solutions in a noncommutative Abelian Higgs model, revealing how these solutions deform from classical vortices and exhibit parity symmetry breaking due to noncommutativity.

Contribution

It provides explicit non-BPS vortex solutions in noncommutative space and analyzes their properties beyond the BPS limit, highlighting noncommutative effects.

Findings

Solutions are smooth deformations of classical vortices.

Parity symmetry is broken by the noncommutative parameter.

Solutions extend understanding of noncommutative gauge theories.

Abstract

We construct exact vortex solutions to the equations of motion of the Abelian Higgs model defined in non commutative space, analyzing in detail the properties of these solutions beyond the BPS point. We show that our solutions behave as smooth deformations of vortices in ordinary space time except for parity symmetry breaking effects induced by the non commutative parameter $\theta$.