Nilpotent symmetries of a 4D model of Hodge theory: Augmented (anti-)chiral superfield formalism

Journal Article · Sun Jul 15 04:00:00 EDT 2018 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2018.04.031· OSTI ID:22852256

We derive the continuous nilpotent symmetries of the four (3+1)-dimensional (4D) model of the Hodge theory (i.e. 4D Abelian 2-form gauge theory) by exploiting the beauty and strength of the symmetry invariant restrictions on the (anti-)chiral superfields. The above off-shell nilpotent symmetries are the Becchi–Rouet–Stora–Tyutin (BRST), anti-BRST and (anti-)co-BRST transformations which turn up beautifully due to the (anti-)BRST and (anti-)co-BRST invariant restrictions on the (anti-)chiral superfields that are defined on the (4, 1)-dimensional (anti-)chiral super-submanifolds of the general (4, 2)-dimensional supermanifold on which our ordinary 4D theory is generalized. The latter supermanifold is characterized by the superspace coordinates Z{sup M}=(x{sup μ}, θ, θ-bar ) where x{sup μ} (μ=0,1,2,3) are the bosonic coordinates and a pair of Grassmannian variables θ and θ-bar are fermionic in nature as they obey the standard relationships: θ{sup 2}= θ-bar {sup 2}=0, θ θ-bar + θ-bar θ=0). The derivation of the proper (anti-)co-BRST symmetries and proof of the absolute anticommutativity property of the conserved (anti-)BRST and (anti-) co-BRST charges are novel results of our present investigation (where only the (anti-)chiral superfields and their super-expansions have been taken into account).

• OSTI ID: 22852256
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 394; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CHIRALITY
COORDINATES
FERMIONS
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
TRANSFORMATIONS