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Bosonization and Duality in Arbitrary Dimensions: New Results

M. Botta Cantcheff·J. A. Helayël-Neto
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Abstract

A generic massive Thirring Model in three space-time dimensions exhibits a correspondence with a topologically massive bosonized gauge action associated to a self-duality constraint, and we write down a general expression for this relationship. We also generalize this structure to $d$ dimensions, by adopting the so-called doublet approach, recently introduced. In particular, a non- conventional formulation of the bosonization technique in higher dimensions (in the spirit of $d=3$), is proposed and, as an application, we show how fermionic (Thirring-like) representations for bosonic topologically massive models in four dimensions may be built up.

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M. Botta Cantcheff, J. A. Helayël-Neto. 2002-11-12. Bosonization and Duality in Arbitrary Dimensions: New Results. https://doi.org/10.1103/physrevd.67.025016

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