Cosmological Shapes of Higher-Spin Gravity

Abstract

We explore non-Gaussian features of a massless spin-two field in the Vasiliev theory of higher-spin gravity. The theory contains an infinite tower of interacting gauge fields with increasing spin, and admits four-dimensional asymptotically de Sitter configurations. Using a recent proposal for calculating late-time quantum correlations in Vasiliev theory, we provide an exact formula for the tensor non-Gaussianities of the massless spin-two graviton field. By general symmetry considerations, we relate our result to that produced by a tree-level calculation in a gravitational theory containing an Einstein term and a term cubic in the Weyl tensor. The relative coefficient between the two terms is calculated explicitly, exhibiting a significant contribution from the Weyl cubed term. We discuss potential cosmological implications of our results.

34 pages, 3 figures

References in corpus (8)

• Non-Gaussianity as a Particle Detector
• On the Inflationary Perturbations of Massive Higher-Spin Fields
• Real Forms of Complex Higher Spin Field Equations and New Exact Solutions
• Cosmological 3-point correlators from holography
• Detecting higher spin fields through statistical anisotropy in the CMB and galaxy power spectra
• The NUTs and Bolts of Squashed Holography
• Soft limits in holographic cosmology
• Chern-Simons-Ghost Theories and de Sitter Space

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