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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]

The problem of quantization of self-duals 3-forms is considered in the framework of the gauge unfixing approach based on path integral. Starting from the original second-class theory, self-dual 3-forms, we construct a first-class theory. With first-class theory at hand, we build the corresponding Hamiltonian path integral. The Hamiltonian path integral of the first-class system takes a manifestly Lorentz-covariant form after integrating out the auxiliary fields and performing some field redefinitions. For different kinds of phase-space extensions we identify the Lagrangian path integral for 2-and 3-forms with Stu¨ckelberg-like coupling or the Lagrangian path integral for two kinds of 3-forms with topological-like coupling. [ABSTRACT FROM AUTHOR]

The problem of quantization of massive 4-forms is considered in the framework of the gauge unfixing approach based on path integral. [ABSTRACT FROM AUTHOR]