# The quantum description of BF model in superspace

## TL;DR

This paper develops a superspace formulation of the four-dimensional BRST symmetric BF topological theory, incorporating extended BRST and anti-BRST symmetries, and relates shift symmetries to antifields.

## Contribution

It introduces a superspace approach for the BF model with extended BRST and anti-BRST symmetries, linking shift symmetries to antifields in a novel way.

## Key findings

- Superspace description of the BF model with extended symmetries
- Connection between shift symmetry and antifields
- Enhanced understanding of topological field theories

## Abstract

We consider the BRST symmetric four dimensional BF theory, a topological theory, containing antysymmetric tensor fields in Landau gauge and extend the BRST symmetry by introducing a shift symmetry to it. Within this formulation, the antighost fields corresponding to shift symmetry coincide with antifields of standard field/antifield formulation. Further, we provide a superspace description for the BF model possessing extended BRST and extended anti-BRST transformations.