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.

22 pages

References in corpus (4)

• Resummation of Massive Gravity
• On massive spin 2 interactions
• No-Go Theorems for Unitary and Interacting Partially Massless Spin-Two Fields
• Particular Solutions in Bimetric Theory and Their Implications

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• Black Holes in Multi-Metric Gravity
• Pure Lorentz spin connection theories and uniqueness of General Relativity
• Scale and Conformal Invariance on (A)dS
• Partially massless spin 2 and supersymmetry
• Cubic interactions for massless and partially massless spin-1 and spin-2 fields
• Note on massless and partially massless spin-2 particles in a curved background via a nonsymmetric tensor
• Partially massless spin 5/2 and supersymmetry
• Geometrical effective actions for a partially massless spin-2 field
• Absence of the Higuchi bound in a family of alternative linear massive spin-2 models