Duality equivalence between nonlinear self-dual and topologically massive models

TL;DR

This paper demonstrates that nonlinear self-dual models are dual to topologically massive models through a gauge embedding procedure, with specific examples like the Born-Infeld-Chern-Simons model illustrating the general result.

Contribution

It establishes a general duality equivalence between nonlinear self-dual and topologically massive models using a gauge embedding approach.

Findings

Nonlinear SD models are dual to TM models under certain conditions.

The duality is explicitly shown for the Born-Infeld-Chern-Simons model.

The method applies to a broad class of nonlinear models.

Abstract

In this report we study the dual equivalence between the generalized self-dual (SD) and topologically massive (TM) models. To this end we linearize the model using an auxiliary field and apply a gauge embedding procedure to construct a gauge equivalent model. We clearly show that, under the above conditions, a nonlinear SD model always has a duality equivalent TM action.The general result obtained is then particularized for a number of examples, including the Born-Infeld-Chern-Simons (BICS) model recently discussed in the literature.