Abstract
We study the duality symmetry in p-form models containing a generalized Bq∧Fp+1 term in spacetime manifolds of arbitrary dimensions. The equivalence between the Bq∧Fp+1 self-dual (SDB∧F) and the Bq∧Fp+1 topologically massive (TMB∧F) models is established using a gauge embedding procedure, including the minimal coupling to conserved charged matter current. The minimal coupling adopted for both tensor fields in the self-dual representation is transformed into a non-minimal magnetic like coupling in the topologically massive representation but with the currents swapped. It is known that to establish this equivalence a current–current interaction term is needed to render the matter sector unchanged. We show that both terms arise naturally from the embedding adopted. Comparison with Higgs/Julia–Toulouse duality is established.
Highlights
Antisymmetric tensors (p-form fields) are largely used in Physics
An abelian antisymmetric tensor potential was probably first used in the context of the particle theory to describe a massless particle of zero-helicity [1, 2]
In this work we studied dual equivalence of topological models, namely, between the Bq ∧ Fp+1 self-dual (SDB∧F ) and the Bq ∧ Fp+1 topologically massive (T MB∧F ) models, in diverse dimensions, using an iterative procedure of gauge embedding that produces the dual mapping
Summary
Antisymmetric tensors (p-form fields) are largely used in Physics. They are naturally used to extend the usual four dimensional phenomena to other dimensions. An abelian antisymmetric tensor potential was probably first used in the context of the particle theory to describe a massless particle of zero-helicity [1, 2]. It reappeared later on in the context of fundamental strings [3, 4], has been used to study cosmic strings [5, 6, 7] and to put topological charge (hair) on black holes[8, 9, 10]. Nowadays p-form fields are largely used in cosmological models in the context of string/brane theories
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