Spin-2 Twisted Duality in (A)dS
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2018-11-27
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Journal Article
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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
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published
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Volume
6
Pages / Article No.
129
Publisher
Frontiers Media
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Subject
Electric-magnetic duality; Dual graviton; Stueckelberg formalism; Constant curvature spacetimes; Partially massless fields
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03657 - Gaberdiel, Matthias / Gaberdiel, Matthias