Consistent interaction vertices in arbitrary topological BF theories.

Here we extend the previous results from [12] to the computation of all consistent self-interactions for topological BF theories with maximal field spectra in D =5,6,7,8 and present some partial results on possible generalizations on a space-time of arbitrary dimension D. For convenience, the deformation of the solution to the master equation in the context of the BRST-antifield formalism is used as a general method of constructing consistent interacting gauge field theories together with most of the standard hypotheses on quantum field theories on Minkowski space-times. [ABSTRACT FROM AUTHOR]