Manifest Duality Invariance for the Partially Massless Graviton

TL;DR

This paper demonstrates a duality invariance in the partially massless graviton on de Sitter space, revealing a symmetry that exchanges field equations and Bianchi identities in a local, covariant manner.

Contribution

It introduces a manifestly local and covariant form of duality invariance for the partially massless graviton, extending the understanding of gauge symmetries in curved spacetime.

Findings

Duality invariance acts to interchange field equations and Bianchi identities.

The duality symmetry is expressed in a local and covariant form.

The work clarifies the gauge structure of the partially massless graviton.

Abstract

For a special value of the mass, a massive graviton on de Sitter space acquires an enhanced scalar gauge symmetry, and is called partially massless. The partially massless graviton possesses a duality invariance akin to electromagnetic duality. We display this duality in its manifestly local and covariant form, in which it acts to interchange the first order field equations and Bianchi identities of a gauge invariant field strength.