PT-symmetry breaking hamiltonian interactions in BF models

TL;DR

This paper identifies PT-symmetry breaking Hamiltonian interactions in abelian BF models across all spacetime dimensions four and higher, using BRST cohomology, revealing an interacting topological BF theory with complex gauge structures.

Contribution

It extends previous work by including PT-symmetry breaking deformations in BF models, demonstrating their existence and properties via Hamiltonian deformation and BRST cohomology methods.

Findings

PT-symmetry breaking interactions exist in all $n extgreater=4$ dimensions.

The resulting models have open gauge algebras and on-shell reducibility.

The models are topological and exhibit complex gauge structures.

Abstract

The PT-symmetry breaking, consistent hamiltonian interactions in all $n\geq 4$ 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.