Spin-2 twisted duality in (A)dS
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.
Keywords
Cite
@article{arxiv.1807.04524,
title = {Spin-2 twisted duality in (A)dS},
author = {Nicolas Boulanger and Andrea Campoleoni and Ignacio Cortese and Lucas Traina},
journal= {arXiv preprint arXiv:1807.04524},
year = {2018}
}
Comments
15 pages. Introductory remarks, clarifications and references added