Spin-2 Twisted Duality in (A)dS

Frontiers in Physics

Cortese, Ignacio¹  Boulanger, Nicolas⁴  Traina, Lucas⁴  Campoleoni, Andrea⁵ 

[1] de Mons, Belgium;Departamento de FíInstitut füService de Physique de l'Univers, Champs et Gravitation, Universitéas, Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de Mèr Theoretische Physik, ETH Zurich, Switzerland;sica de Altas Energíxico, Mexico

关键词: electric-magnetic duality;    Dual Graviton;    Stueckelberg formalism;    constant curvature spacetimes;    partially massless fields;   

DOI  :  10.3389/fphy.2018.00129

学科分类：物理（综合）

来源: Frontiers

【 摘 要 】

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.

【 授权许可】

CC BY