Field redefinitions and massive BF models in arbitrary space–time dimensions

Abstract

We show that the topological massive BF theories can be written as a pure BF term through field redefinitions. The fields are rewritten as power expansion series in the inverse of the mass parameter m. We also give a cohomological justification of this expansion through BRST framework. In this approach the BF term can be seen as a topological generator for massive BF theories.

Bosonic fields in crystal manifold

“…These tensor fields couple naturally to higher-dimensional extended objects, the so-called D−branes, and are important to make them stable. Besides this, they are related to the linking number of higher dimensional knots [31] and to the mechanism of topological mass generation [32,33]. The rank of these antisymmetric tensors is defined by the dimension of the manifold [34].…”