Topologically massive non-Abelian theory: superfield formalism

Abstract

We apply the well-established techniques of geometrical superfield approach to Becchi-Rouet-Stora-Tyutin (BRST) formalism in the context of four (3 + 1)-dimensional (4D) dynamical non-Abelian 2-form gauge theory by exploiting its inherent "scalar" and "vector" gauge symmetry transformations and derive the corresponding off-shell nilpotent and absolutely anticommuting BRST and anti-BRST symmetry transformations. Our approach leads to the derivation of three (anti-) BRST invariant Curci-Ferrari (CF)-type restrictions that are found to be responsible for the absolute anticommutativity of the BRST and anti-BRST symmetry transformations. We derive the coupled Lagrangian densities that respect the (anti-) BRST symmetry transformations corresponding to the "vector" gauge transformations. We also capture the (anti-) BRST invariance of the CF-type restrictions and coupled Lagrangian densities within the framework of our superfield approach. We obtain, furthermore, the off-shell nilpotent (anti-) BRST symmetry transformations when the (anti-) BRST symmetry transformations corresponding to the "scalar" and "vector" gauge symmetries are merged together. These off-shell nilpotent "merged" (anti-) BRST symmetries are, however, found to be not absolutely anticommuting in nature.

LaTeX2e file, 33 pages, journal version

References in corpus (7)

• Abelian 2-form gauge theory: superfield formalism
• BRST, anti-BRST and gerbes
• BRST, anti-BRST and their geometry
• Absolutely anticommuting (anti-)BRST symmetry transformations for topologically massive Abelian gauge theory
• New observations in the BRST analysis of dynamical non-Abelian 2-form gauge theory
• BRST analysis of topologically massive gauge theory: novel observations
• Nilpotent (anti-)BRST symmetry transformations for dynamical non-Abelian 2-form gauge theory: superfield formalism

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• 3D Jackiw-Pi Model: (Anti-)Chiral Superfield Approach to BRST Formalism
• Augmented Superfield Approach to Non-Yang-Mills Symmetries of Jackiw-Pi Model: Novel Observations
• (3+1)-Dimensional Topologically Massive 2-form Gauge Theory: Geometrical Superfield Approach