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Spin-2 twisted duality in (A)dS

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arxiv 1807.04524 v2 pith:WINS4UAU submitted 2018-07-12 hep-th

Nicolas Boulanger , Andrea Campoleoni , Ignacio Cortese , Lucas Traina This is my paper · ORCID
classification hep-th
keywords masslessrelationstwisted-dualityfieldslimitpartiallyspin-2case
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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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  1. A note on partially massless supergravity

    hep-th 2024-12 conditional novelty 7.0 of 10

    Interactions of partially massless spin-2 with spin-3/2 fields are obstructed at second order unless a massless graviton is added, leading to N=1 conformal supergravity.

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