# Cosmological Shapes of Higher-Spin Gravity

## TL;DR

This paper derives an exact formula for non-Gaussian features of the massless spin-two field in higher-spin gravity, revealing significant contributions from Weyl cubic interactions with potential cosmological implications.

## Contribution

It provides the first exact calculation of tensor non-Gaussianities in Vasiliev higher-spin gravity and relates these to standard gravitational theories with cubic Weyl terms.

## Key findings

- Exact formula for tensor non-Gaussianities in higher-spin gravity
- Explicit calculation of the Weyl cubed term's coefficient
- Potential impact on cosmological models and observations

## 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.