Self-Dual Chern-Simons Solitons in (2+1)-Dimensional Einstein Gravity

TL;DR

This paper explores self-dual soliton solutions in a generalized Abelian Higgs model with a Chern-Simons term in curved space, revealing solutions with mass and spin in a gravitational context.

Contribution

It introduces a self-dual Maxwell-Chern-Simons soliton framework within (2+1)-dimensional Einstein gravity, extending previous models to include curvature effects.

Findings

Self-dual equations are derived for the model.

Solutions exhibit non-zero mass and spin.

The model generalizes flat-space solitons to curved spacetime.

Abstract

We consider here a generalization of the Abelian Higgs model in curved space, by adding a Chern--Simons term. The static equations are self-dual provided we choose a suitable potential. The solutions give a self-dual Maxwell--Chern--Simons soliton that possesses a mass and a spin.