On augmented superfield approach to vector Schwinger model

TL;DR

This paper applies superfield formalism to derive and interpret off-shell nilpotent (anti-)BRST and (anti-)co-BRST symmetries for the 2D vector Schwinger model, providing geometric insights and algebraic consistency.

Contribution

It introduces an augmented superfield approach to systematically derive and interpret symmetries in the vector Schwinger model, including geometric and algebraic properties.

Findings

Derived off-shell nilpotent (anti-)BRST and (anti-)co-BRST symmetries.

Provided geometric interpretation of the symmetries and charges.

Expressed symmetry properties within augmented superfield formalism.

Abstract

We exploit the techniques of Bonora-Tonin superfield formalism to derive the off-shell nilpotent and absolutely anticommuting (anti-)BRST as well as (anti-)co-BRST symmetry transformations for the (1+1)-dimensional (2D) bosonized vector Schwinger model. In the derivation of above symmetries, we invoke the (dual)-horizontality conditions as well as gauge and (anti-)co-BRST invariant restrictions on the superfields that are defined onto the (2, 2)-dimensional supermanifold. We provide geometrical interpretation of the above nilpotent symmetries (and their corresponding charges). We also express the nilpotency and absolute anticommutativity of the (anti-)BRST and (anti-)co-BRST charges within the framework of augmented superfield formalism.