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Conflict between symmetries: a classical example

2003/05/16 by D. C. Rodrigues, Rodrigues, D. C., C. Wotzasek +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0305141

Latex file, 4 pages, no figures

arxiv created 2003/05/16 · arxiv updated 2009/11/30

Abstract

We have found a (classical) competition between duality and gauge symmetries when trying to obtain an explicit dual to the non-nonabelian version of the self-dual model proposed by Townsend, Pilch and van Nieuwenhuizen\citeTPvN (NASD) either through gauge embedding procedures or gauge invariant master approach. We found that the theory dual to NASD \it is not the Yang-Mills-Chern-Simons model. We then proved that a model gauge invariant and dual equivalent to NASD cannot be achieved because of this conflict. Other nonabelian self-dual formulation proposed in \citeKLRvN was studied and its dual obtained. We discuss the consequences of the dual equivalence found here in the context of 3D non-abelian bosonization.

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