Abelian 3-form gauge theory: superfield approach

Abstract

We discuss a D-dimensional Abelian 3-form gauge theory within the framework of Bonora-Tonin's superfield formalism and derive the off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for this theory. To pay our homage to Victor I. Ogievetsky (1928-1996), who was one of the inventors of Abelian 2-form (antisymmetric tensor) gauge field, we go a step further and discuss the above D-dimensional Abelian 3-form gauge theory within the framework of BRST formalism and establish that the existence of the (anti-)BRST invariant Curci-Ferrari (CF) type of restrictions is the hallmark of any arbitrary p-form gauge theory (discussed within the framework of BRST formalism).

LaTeX file, 8 pages, Talk delivered at BLTP, JINR, Dubna, Moscow Region, Russia

References in corpus (2)

• Abelian 2-form gauge theory: superfield formalism
• BRST, anti-BRST and their geometry

Cited by in corpus (3)

• Nilpotent Symmetries of a Modified Massive Abelian 3-Form Theory: Augmented Superfield Approach
• Constraints, Symmetry Transformations and Conserved Charges for Massless Abelian 3-Form Theory
• Nilpotency Property, Physicality Criteria, Constraints and Standard BRST Algebra: A 4D Field-Theoretic System