Distended Topologically Massive Electrodynamics

TL;DR

This paper extends topologically massive electrodynamics by incorporating higher derivatives and an AdS background, revealing a structure akin to gravitational models and analyzing interactions with point sources.

Contribution

It introduces a higher derivative formulation of topologically massive electrodynamics in an AdS background, expressed as a sum of two Chern-Simons terms, and studies its coupling with gravity and point sources.

Findings

The model can be written as the sum of two Chern-Simons terms, with one vanishing at the chiral point.

Solutions include the exterior conical metric and vector potentials for point sources.

The gravity and vector field equations decouple, simplifying analysis.

Abstract

We extend topologically massive electrodynamics, both by adding a higher derivative action to cast the entire three-term model in Chern-Simons (CS) form, and by embedding it in an AdS background. It can then be written as the sum of two CS terms, one of which vanishes at the "chiral" point, in analogy with its gravitational topologically massive counterpart. Separately we treat pure CS electrodynamics plus Einstein gravity interacting with point sources. The gravity/vector field equations decouple; their solutions are the familiar exterior "conical" metric and vector potentials.