The Dual of the Carroll-Field-Jackiw Model

TL;DR

This paper explores the dual descriptions of the Carroll-Field-Jackiw model, a Lorentz and CPT violating theory, using duality techniques to relate it to various gauge and scalar models.

Contribution

It applies dual projection and master action methods to derive and analyze the dual formulations of the Carroll-Field-Jackiw model, including interactions with external charges.

Findings

The model can be rewritten in terms of interacting scalar and topologically massive models.

Dual modes include Maxwell and self-dual modes, linked via duality.

A unified rank-two self-dual model represents the dual of the Maxwell-Chern-Simons-like model.

Abstract

In this work we apply different duality techniques, both the dual projection, based on the soldering formalism and the master action, in order to obtain and study the dual description of the Carroll-Field-Jackiw model \cite{cfj}, a theory with a Chern-Simons-like explicitly Lorentz and CPT violating term, including the interaction with external charges. This Maxwell-Chern-Simons-like model may be rewritten in terms of the interacting modes of a massless scalar model and a topologically massive model \cite{mcs}, that are mapped, through duality, into interacting massless Maxwell and massive self-dual modes \cite{sd}. It is also shown that these dual modes might be represented into an unified rank-two self-dual model that represents the direct dual of the vector Maxwell-Chern-Simons-like model.