Composite Vector and Tensor Gauge Fields, and Volume-Preserving Diffeomorphisms

TL;DR

This paper introduces new theories of composite gauge fields built from scalar primitives, replacing local gauge symmetry with volume-preserving diffeomorphisms, and finds novel topologically massive solutions in odd dimensions.

Contribution

It presents a novel framework replacing local gauge symmetry with volume-preserving diffeomorphisms and discovers new solutions for tensor gauge fields in odd-dimensional spacetimes.

Findings

New composite vector and tensor gauge field theories from scalar primitives

Identification of topologically massive tensor gauge configurations in odd dimensions

Replacement of gauge symmetry with volume-preserving diffeomorphisms

Abstract

We describe new theories of composite vector and tensor (p-form) gauge fields made out of zero-dimensional constituent scalar fields (``primitives''). The local gauge symmetry is replaced by an infinite-dimensional global Noether symmetry -- the group of volume-preserving (symplectic) diffeomorphisms of the target space of the scalar primitives. We find additional non-Maxwell and non-Kalb-Ramond solutions describing topologically massive tensor gauge field configurations in odd space-time dimensions. Generalization to the supersymmetric case is also sketched.