2002/04/29 by Rafael Menezes, R. Menezes, J. R. S. Nascimento +4 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Dual (grammatical number) #Equivalence (formal languages) #Mathematics #Philosophy #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Theoretical physics #hep-th
paper · pdf · doi:10.1016/s0370-2693(02)01933-0
published as Phys.Lett.B537:321-328,2002 · Latex file, 20 pages
arxiv created 2002/04/29 · openalex publication_date 2002/06/01 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the equivalence between the B\wedge F self-dual (SDB\wedge F) and the B\wedge F topologically massive (TMB\wedge F) models including the coupling to dynamical, U(1) charged fermionic matter. This is done through an iterative procedure of gauge embedding that produces the dual mapping. In the interactive cases, the minimal coupling adopted for both vector and 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 procedure.