Topologically massive non-abelian BF models in arbitrary space–time dimensions

This work extends to the D-dimensional space–time the topological mass generation mechanism of the non-abelian BF model in four dimensions. In order to construct the gauge invariant non-abelian 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.