Spin-2 twisted duality in (A)dS

TL;DR

This paper formulates twisted-duality relations for (partially) massless spin-2 fields in (A)dS space, generalizing known Minkowski results and preserving degrees of freedom in the flat limit across dimensions.

Contribution

It introduces a new twisted-duality framework for (partially) massless spin-2 fields in (A)dS, extending previous Minkowski results and applicable to any dimension greater than three.

Findings

Reproduces known Minkowski twisted-duality relations in the flat limit.

Maintains degrees of freedom in the flat limit for partially-massless fields.

Applicable to spacetimes of any dimension greater than three.

Abstract

Starting from the dual Lagrangians recently obtained for (partially) massless spin-2 fields in the Stueckelberg formulation, we write the equations of motion for (partially) massless gravitons in (A)dS in the form of twisted-duality relations. In both cases, the latter admit a smooth flat limit. In the massless case, this limit reproduces the gravitational twisted-duality relations previously known for Minkowski spacetime. In the partially-massless case, our twisted-duality relations preserve the number of degrees of freedom in the flat limit, in the sense that they split into a decoupled pair of dualities for spin-1 and spin-2 fields. Our results apply to spacetimes of any dimension greater than three. In four dimensions, the twisted-duality relations for partially massless fields that appeared in the literature are recovered by gauging away the Stueckelberg field.