Duality in non-linear B∧F models: equivalence between self-dual and topologically massive Born–Infeld B∧F models

We study the dual equivalence between the non-linear generalization of the self-dual (NSDB∧F) and the topologically massive B∧F models with particular emphasis on the non-linear electrodynamics proposed by Born and Infeld. This is done through a dynamical gauge embedding of the non-linear self-dual model yielding to a gauge invariant and dynamically equivalent theory. We clearly show that non-polinomial NSDB∧F models can be map, through a properly defined duality transformation into TMB∧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.