Duality in nonlinear B$\wedge$F models: equivalence between self-dual and topologically massive Born-Infeld B$\wedge$F models

TL;DR

This paper demonstrates the duality between nonlinear self-dual and topologically massive B∧F models, especially focusing on Born-Infeld electrodynamics, establishing their equivalence through gauge embedding and duality transformations.

Contribution

It introduces a method to map nonlinear self-dual B∧F models to topologically massive models, including Born-Infeld-BF, via duality transformations and gauge embedding.

Findings

Nonpolynomial NSD_B∧F models can be mapped to TM_B∧F models.

Duality transformation establishes equivalence between models.

Application to Born-Infeld-BF model confirms the general result.

Abstract

We study the dual equivalence between the nonlinear generalization of the self-dual ($NSD_{B\wedge F}$) and the topologically massive $B\wedge F$ models with particular emphasis on the nonlinear electrodynamics proposed by Born and Infeld. This is done through a dynamical gauge embedding of the nonlinear self-dual model yielding to a gauge invariant and dynamically equivalent theory. We clearly show that nonpolinomial $NSD_{B\wedge F}$ models can be mapped, through a properly defined duality transformation, into $TM_{B\wedge F}$ actions. The general result obtained is then particularized for a number of examples, including the Born-Infeld-BF (BIBF) model that has experienced a revival in the recent literature.