Self-dual Chern-Simons Vortices on Riemann Surfaces

TL;DR

This paper investigates self-dual vortex solutions in Chern-Simons Higgs theory on curved surfaces, establishing their existence and decay properties, contributing to the understanding of topological solitons in curved backgrounds.

Contribution

It demonstrates the existence and decay properties of self-dual Chern-Simons vortices on Riemann surfaces, extending prior work to curved geometries.

Findings

Existence of vortex solutions on Riemann surfaces

Solutions exhibit decay at infinity

Extension of vortex theory to curved backgrounds

Abstract

We study self-dual multi-vortex solutions of Chern-Simons Higgs theory in a background curved spacetime. The existence and decaying property of a solution are demonstrated.