A non-linear extension of the spin-2 partially massless symmetry

Abstract

We investigate the possibility of extending the "partially massless" symmetry of a spin-2 field in de Sitter to nonlinear order. To do so, we impose a closure condition on the symmetry transformations. This requirement imposes strong constraints on the form of the nonlinear symmetry while making only minimal assumptions about the form of the nonlinear partially massless action. We find a unique nonlinear extension of the free partially massless symmetry. However, we show that no consistent Lagrangian that contains at most two derivatives of the fields can realize this symmetry.

arXiv comment22 pages

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• Consistent deformations of free massive field theories in the Stueckelberg formulation
• Manifest Duality for Partially Massless Higher Spins
• No-go for Partially Massless Spin-2 Yang-Mills
• Partially Massless Graviton on Beyond Einstein Spacetimes
• On the (A)dS Decoupling Limits of Massive Gravity
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• Looking for partially-massless gravity
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• Partially Massless Monopoles and Charges
• Non-linear partially massless symmetry in an SO(1,5) continuation of conformal gravity
• Gauge and global symmetries of the candidate partially massless bimetric gravity
• A theory for multiple partially massless spin-2 fields
• Kaluza-Klein Reduction of Massive and Partially Massless Spin-2 Fields
• Structures in multiple spin-2 interactions
• Novel nonlinear kinetic terms for gravitons
• Generalised superconformal higher-spin multiplets
• $\mathcal{N}=2$ Supersymmetric Partially Massless Fields and Non-Unitary Superconformal Representations
• Black Holes in Multi-Metric Gravity
• Pure Lorentz spin connection theories and uniqueness of General Relativity
• Scale and Conformal Invariance on (A)dS
• Cubic interactions for massless and partially massless spin-1 and spin-2 fields
• Partially massless spin 2 and supersymmetry
• Note on massless and partially massless spin-2 particles in a curved background via a nonsymmetric tensor
• Partially massless spin 5/2 and supersymmetry
• Partially massless theory as a quantum gravity candidate
• Absence of the Higuchi bound in a family of alternative linear massive spin-2 models
• Geometrical effective actions for a partially massless spin-2 field