PT-symmetry breaking hamiltonian interactions in BF models

Abstract

The PT-symmetry breaking, consistent hamiltonian interactions in all $n\ge 4$ spacetime dimensions that can be added to an abelian BF model involving a set of scalar fields, two sorts of one-forms, and a system of two-forms are obtained by means of the hamiltonian deformation procedure based on local BRST cohomology. This paper enhances one of our previous works, where only PT-invariant deformations were considered. The associated coupled theory is an interacting, topological BF model exhibiting an open gauge algebra and on-shell reducibility relations.

arXiv comment22 pages

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• Couplings between a collection of BF models and a set of three-form gauge fields
• A novel mass generation scheme for an Abelian vector field