Bosonization and Duality in Arbitrary Dimensions: New Results

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.

Revised version, to appear in Phys. Rev. D

References in corpus (5)

• Dual equivalence between Self-Dual and Maxwell-Chern-Simons models coupled to dynamical U(1) charged matter
• Duality Equivalence Between Self-Dual And Topologically Massive Non-Abelian Models
• Parent Action Approach for the Duality between Non-Abelian Self-Dual and Yang-Mills-Chern-Simons Models
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Cited by in corpus (5)

• Einstein-Cartan formulation of Chern-Simons Lorentz-violating Gravity
• (3+1)-dimensional topological quantum field theory from a tight-binding model of interacting spinless fermions
• Ghost free dual vector theories in 2+1 dimensions
• On the coupling of the self-dual field to dynamical U(1) Matter and its dual theory
• Topological mass mechanism and exact fields mapping