Off-shell BRST-VSUSY superalgebra for D=4 BF theories in the superconnection formalism

TL;DR

This paper develops a superconnection formalism to construct an off-shell BRST-VSUSY superalgebra for four-dimensional BF theories, enabling systematic quantization and symmetry analysis.

Contribution

It introduces a novel superconnection approach to derive the off-shell BRST-VSUSY superalgebra for D=4 BF theories, including a method to build the exact quantum action.

Findings

Superconnection formalism successfully constructs the superalgebra.

Provides a prescription for off-shell BRST-VSUSY exact quantum action.

Enhances understanding of symmetry structure in BF theories.

Abstract

We propose the superconnection formalism to construct the off-shell BRST-VSUSY superalgebra for D=4 BF theories. The method is based on the natural introduction of physical fields as well as auxiliary fields via superconnections and their associated supercurvatures defined on a superspace. We also give a prescription to build the off-shell BRST-VSUSY exact quantum action.