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On the dual equivalence of the self-dual and topologically massive p-form models

R. Menezes·J. R. S. Nascimento·R. F. Ribeiro·C. Wotzasek
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Abstract

We study the duality symmetry in p-form models containing a generalized $B_q\wedge F_{p+1}$ term in spacetime manifolds of arbitrary dimensions. The equivalence between the $B_q\wedge F_{p+1}$ self-dual ($SD_{B\wedge F}$) and the $B_q\wedge F_{p+1}$ topologically massive ($TM_{B\wedge F}$) 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.

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R. Menezes, J. R. S. Nascimento, R. F. Ribeiro, C. Wotzasek. 2003-05-27. On the dual equivalence of the self-dual and topologically massive p-form models. https://doi.org/10.1016/s0370-2693(03)00729-9

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