Topologically massive nonabelian BF models in arbitrary space-time dimensions

TL;DR

This paper generalizes the topological mass generation mechanism of nonabelian BF models to arbitrary D-dimensional space-times, introducing auxiliary fields and BRST symmetry for a consistent quantum formulation.

Contribution

It extends the nonabelian BF model to D dimensions, constructs gauge-invariant kinetic terms with auxiliary fields, and develops BRST symmetry and quantum action in arbitrary space-time.

Findings

Successfully generalized the model to D dimensions.

Derived BRST and anti-BRST transformation rules.

Constructed a BRST/anti-BRST invariant quantum action.

Abstract

This work extends to the D-dimensional space-time the topological mass generation mechanism of the nonabelian BF model in four dimensions. In order to construct the gauge invariant nonabelian kinetic terms for a (D-2)-form B and a 1-form A, we introduce an auxiliary (D-3)-form V. Furthermore, we obtain a complete set of BRST and anti-BRST transformation rules of the fields using the so called horizontality condition, and construct a BRST/anti-BRST invariant quantum action for the model in D-dimensional space-time.