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

Abstract

We study the dual equivalence between the nonlinear generalization of the self-dual ($NS{D}_{B\wedge F}$) 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 $NS{D}_{B\wedge F}$ models can be mapped, through a properly defined duality transformation, into $T{M}_{B\wedge F}$ 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.

Revtex4 file, 18 pages, accepted for publication - Phys. Lett. B

References in corpus (1)

• On the dual equivalence of the self-dual and topologically massive $B\wedge F$ models coupled to dynamical fermionic matter

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