# Squeezed tensor non-Gaussianity in non-attractor inflation

## TL;DR

This paper analyzes the enhancement of primordial tensor non-Gaussianity during non-attractor inflation, revealing distinctive scale-dependent features and potential observational signatures in gravitational wave backgrounds.

## Contribution

It introduces an analytical computation of the tensor bispectrum during non-attractor inflation using tensor duality, highlighting unique shape and scale dependence of non-Gaussianity.

## Key findings

- Tensor bispectrum shape is enhanced in the squeezed limit.
- Tensor non-Gaussianity amplitude can be significantly amplified.
- Characteristic quadrupolar anisotropy affects gravitational wave background.

## Abstract

We investigate primordial tensor non-Gaussianity in single field inflation, during a phase of non-attractor evolution when the spectrum of primordial tensor modes can be enhanced to a level detectable at interferometer scales. Making use of a tensor duality we introduced in arXiv:1808.10475, we analytically compute the full bispectrum of primordial tensor fluctuations during the non-attractor era. During this epoch the shape of the tensor bispectrum is enhanced in the squeezed limit, its amplitude can be amplified with respect to slow-roll models, and tensor non-Gaussianity can exhibit a scale dependence distinctive of our set-up. We prove that our results do not depend on the frame used for the calculations. Squeezed tensor non-Gaussianity induces a characteristic quadrupolar anisotropy on the power spectrum of the stochastic background of primordial tensor perturbations. As a step to make contact with gravitational wave experiments, we discuss the response function of a ground based Michelson interferometer to a gravitational wave background with such a feature.