Nonlinear Partially Massless from Massive Gravity?

Abstract

We show that consistent nonlinear Partially Massless models cannot be obtained starting from "f-g" massive gravity, with "f" the embedding de Sitter space. The obstruction, which is also the source of f-g acausality, is the very same fifth constraint that removes the notorious sixth ghost excitation. Here, however, it blocks extension of the mass to cosmological background tuned gauge invariance that took away the helicity zero mode at linear level. Separately, our methods allow us to almost complete the class of acausal f-g models.

7 pages LaTeX

References in corpus (18)

• Resummation of Massive Gravity
• Generalization of the Fierz-Pauli Action
• Theoretical Aspects of Massive Gravity
• Resolving the Ghost Problem in non-Linear Massive Gravity
• Partial Masslessness of Higher Spins in (A)dS
• Gauge Invariances and Phases of Massive Higher Spins in (A)dS
• Ghost free Massive Gravity in the Stückelberg language
• Null Propagation of Partially Massless Higher Spins in (A)dS and Cosmological Constant Speculations
• Stability of Massive Cosmological Gravitons
• Acausality of Massive Gravity
• On massive spin 2 interactions
• Arbitrary Spin Representations in de Sitter from dS/CFT with Applications to dS Supergravity
• Massive Gravity on de Sitter and Unique Candidate for Partially Massless Gravity
• Covariant constraints in ghost free massive gravity
• Conformal Invariance of Partially Massless Higher Spins
• Conformal Operators for Partially Massless States
• Gravitational- and Self- Coupling of Partially Massless Spin 2
• Partial Masslessness and Conformal Gravity

Cited by in corpus (66)

• Beyond the Cosmological Standard Model
• Massive Gravity
• Massive spin-2 fields on black hole spacetimes: Instability of the Schwarzschild and Kerr solutions and bounds on the graviton mass
• Momentum relaxation in holographic massive gravity
• Recent developments in bimetric theory
• Cosmological Stability Bound in Massive Gravity and Bigravity
• Nonlinear stability of cosmological solutions in massive gravity
• Evidence for and Obstructions to Non-Linear Partially Massless Gravity
• On Partially Massless Bimetric Gravity
• No-Go Theorems for Unitary and Interacting Partially Massless Spin-Two Fields
• Massive Gravity Acausality Redux
• Higher Derivative Gravity and Conformal Gravity From Bimetric and Partially Massless Bimetric Theory
• Complete Decoupling Limit of Ghost-free Massive Gravity
• New Kinetic Interactions for Massive Gravity?
• Shapes of gravity: Tensor non-Gaussianity and massive spin-2 fields
• Conformal gravity holography in four dimensions
• Black holes in massive gravity
• The Cosmology of Interacting Spin-2 Fields
• Particular Solutions in Bimetric Theory and Their Implications
• Stability of the Schwarzschild-de Sitter black hole in the dRGT massive gravity theory
• Problems of Massive Gravities
• Partially massless gravitons do not destroy general relativity black holes
• Covariant constraints for generic massive gravity and analysis of its characteristics
• Dark matter in ghost-free bigravity theory: From a galaxy scale to the universe
• Stability of the Self-accelerating Universe in Massive Gravity
• Canonical structure of Tetrad Bimetric Gravity
• Restricted Galileons
• Kaluza-Klein Towers on General Manifolds
• An Analysis of Characteristics in Non-Linear Massive Gravity
• Consistent deformations of free massive field theories in the Stueckelberg formulation
• No consistent bimetric gravity?
• Stability of the Early Universe in Bigravity Theory
• Partially Massless Graviton on Beyond Einstein Spacetimes
• Cosmology in ghost-free bigravity theory with twin matter fluids: The origin of "dark matter"
• Extended Weyl Invariance in a Bimetric Model and Partial Masslessness
• Looking for partially-massless gravity
• Supersymmetric Partially Massless Fields and Non-Unitary Superconformal Representations
• Bigravity in Kuchar's Hamiltonian formalism. 1. The general case
• Gravitational Mechanisms to Self-Tune the Cosmological Constant: Obstructions and Ways Forward
• The Komar mass function in the de-Rham-Gabadadze-Tolley non-linear theory of massive gravity
• Bigravity in Kuchar's Hamiltonian formalism. 2. The special case
• Gauge and global symmetries of the candidate partially massless bimetric gravity
• Non-linear partially massless symmetry in an SO(1,5) continuation of conformal gravity
• On Partially Massless Theory in 3 Dimensions
• Cutoff for Extensions of Massive Gravity and Bi-Gravity
• Non-Einstein source effects in massive gravity
• Nonderivative Modified Gravity: a Classification
• Hamiltonian Formalism of Bimetric Gravity In Vierbein Formulation
• Propagation peculiarities of mean field massive gravity
• Kaluza-Klein Reduction of Massive and Partially Massless Spin-2 Fields
• A theory for multiple partially massless spin-2 fields
• All spin-2 cubic vertices with two derivatives
• Structures in multiple spin-2 interactions
• On Instability of Certain Bi-Metric and Massive-Gravity Theories
• Supersymmetrizing Massive Gravity
• $\mathcal{N}=2$ Supersymmetric Partially Massless Fields and Non-Unitary Superconformal Representations
• Novel nonlinear kinetic terms for gravitons
• Black Holes in Multi-Metric Gravity
• Superluminal Vector in Ghost-free Massive Gravity
• Partially massless spin 2 and supersymmetry
• Cubic interactions for massless and partially massless spin-1 and spin-2 fields
• Bi-gravity with a single graviton
• Massive graviton on arbitrary background: derivation, syzygies, applications
• Partially massless spin 5/2 and supersymmetry
• Fundamental fields around compact objects: Massive spin-2 fields, Superradiant instabilities and Stars with dark matter cores
• Partially massless theory as a quantum gravity candidate