Nilpotent Symmetries of a Modified Massive Abelian 3-Form Theory: Augmented Superfield Approach

Abstract

We derive the off-shell nilpotent and absolutely anticommuting (anti-)BRST symmetry transformations for any arbitrary D-dimensional St$\ddot{u}$ckelberg-modified massive Abelian 3-form theory within the framework of augmented version of superfield approach (AVSA) to Becchi-Rouet-Stora-Tyutin (BRST) formalism where, in addition to the horizontality condition (HC), we exploit the theoretical strength of the gauge invariant restriction (GIR) to deduce the proper transformations for the gauge, associated (anti-)ghost fields, auxiliary fields, St$\ddot{u}$ckelberg compensating field, etc. In fact, it is an elegant and delicate combination of HC and GIR (within the ambit of AVSA) that is crucial for all our discussions and derivations. One of the highlights of our present endeavor is the deduction of a new set of (anti-)BRST invariant Curci-Ferrari (CF)-type restrictions which are not found in the massless version of our present theory where only the HC plays an important role in the derivation of all the (anti-)BRST transformations and a very specific set of CF-type restrictions. The alternative ways of the derivation of the full set of the latter, from various theoretical considerations, are also interesting results of our present investigation.

LaTeX file, 40 pages, one figure, journal version

References in corpus (4)

• Abelian 2-form gauge theory: superfield formalism
• BRST, anti-BRST and gerbes
• An Alternative To The Horizontality Condition In Superfield Approach To BRST Symmetries
• Bouncing Cosmologies

Cited by in corpus (5)

• Noether Theorem and Nilpotency Property of the (Anti-)BRST Charges in the BRST Formalism: A Brief Review
• Constraints, Symmetry Transformations and Conserved Charges for Massless Abelian 3-Form Theory
• Pseudo-Scalar Field as a Possible Candidate for Phantom Field
• Constraints and Conserved Charges for Modified Massive and Massless Abelian 1-Form and 2-Form Theories: A Brief Review
• St$\ddot{u}$ckelberg-Modified Massive Abelian 3-Form Theory: Constraint Analysis, Conserved Charges and BRST Algebra