`Hidden' symmetry of linearized gravity in de Sitter space

Abstract

We demonstrate that the linearized Einstein gravity in de Sitter (dS) spacetime besides the evident symmetries also possesses the additional (local) symmetry $h_{\mu \nu }\to h_{\mu \nu }+{\mathcal{E}}_{\mu \nu }\chi$, where ${\mathcal{E}}_{\mu \nu }$ is a spin-two projector tensor and $\chi$ is an arbitrary constant function. We argue that an anomalous symmetry associated with this hitherto `hidden' property of the existing physics is indeed at the origin of `dS breaking' in linearized quantum gravity.

arXiv comment6 pages, no figure, version accepted for publication in Physics Letters B

References in corpus (22)

• Mass, Entropy and Holography in Asymptotically de Sitter Spaces
• Two-point Functions and Quantum Fields in de Sitter Universe
• Cosmological Dark Energy: Prospects for a Dynamical Theory
• Gupta-Bleuler quantization for minimally coupled scalar fields in de Sitter space
• The covariant graviton propagator in de Sitter spacetime
• Almost Ideal Clocks in Quantum Cosmology: A Brief Derivation of Time
• Comparing Formulations of Generalized Quantum Mechanics for Reparametrization-Invariant Systems
• de Sitter invariance of the dS graviton vacuum
• Group Averaging for de Sitter free fields
• "Massless" vector field in de Sitter Universe
• The physical graviton two-point function in de Sitter spacetime with S^3 spatial sections
• Physical equivalence between the covariant and physical graviton two-point functions in de Sitter spacetime
• Mode-sum construction of the covariant graviton two-point function in the Poincaré patch of de Sitter space
• The Weyl tensor correlator in cosmological spacetimes
• Infrared-finite graviton two-point function in static de Sitter space
• On cosmic hair and "de Sitter breaking" in linearized quantum gravity
• Maximally Symmetric Spin-Two Bitensors on $S^3$ and $H^3$
• "Massless" spin-2 field in de Sitter space
• Infrared divergences for free quantum fields in cosmological spacetimes
• Gupta-Bleuler quantization for linearized gravity in de Sitter spacetime
• The Gibbons-Hawking radiation of gravitons in the Poincaré and static patches of de Sitter spacetime
• A small non-vanishing cosmological constant from the Krein-Gupta-Bleuler vacuum

Cited by in corpus (5)

• Gupta-Bleuler quantization for linearized gravity in de Sitter spacetime
• Covariant Quantization of the Partially Massless Graviton Field in de Sitter Spacetime
• "Massive" Rarita-Schwinger field in de Sitter space
• A misleading naming convention: de Sitter `tachyonic' scalar fields
• A unified framework for graviton, "partially massless" graviton, and photon fields in de Sitter spacetime under conformal symmetry