Gravitating Self-dual Chern-Simons Solitons

TL;DR

This paper investigates self-dual Chern-Simons solitons in curved spacetime, deriving duality transformations and analyzing symmetric soliton configurations with magnetic flux and angular momentum on various manifolds.

Contribution

It introduces a duality transformation for Einstein Chern-Simons Higgs theory and explores symmetric soliton solutions on different curved geometries.

Findings

Derived duality transformation within path integral formalism.

Identified all symmetric soliton configurations on cone, cylinder, and sphere.

Analyzed properties like magnetic flux and angular momentum of these solitons.

Abstract

Self-dual solitons of Chern-Simons Higgs theory are examined in curved spacetime. We derive duality transformation of the Einstein Chern-Simons Higgs theory within path integral formalism and study various aspects of dual formulation including derivation of Bogomolnyi type bound. We find all possible rotationally-symmetric soliton configurations carrying magnetic flux and angular momentum when underlying spatial manifolds of these objects comprise a cone, a cylinder, and a two sphere.