Primordial Non-Gaussianity in Supersolid Inflation

TL;DR

This paper investigates primordial non-Gaussianity in supersolid inflation, revealing angle-dependent non-Gaussian features that violate Maldacena's consistency relation and connect to observable gravitational waves.

Contribution

It formulates a novel effective field theory for supersolid inflation, showing significant non-Gaussianity persists beyond averages and links to gravitational wave production.

Findings

Angle-dependent $f_{NL}$ violates Maldacena's relation.

Non-Gaussianity remains significant after averaging.

Enhanced non-Gaussianity correlates with detectable gravitational waves.

Abstract

We study primordial non-gaussianity in supersolid inflation. The dynamics of supersolid is formulated in terms of an effective field theory based on four scalar fields with a shift symmetric action minimally coupled with gravity. In the scalar sector, there are two phonon-like excitations with a kinetic mixing stemming from the completely spontaneous breaking of diffeomorphism. In a squeezed configuration, $f_{\text{NL}}$ of scalar perturbations is angle dependent and not proportional to slow-roll parameters showing a blunt violation of the Maldacena consistency relation. Contrary to solid inflation, the violation persists even after an angular average and generically the amount of non-gaussianity is significant. During inflation, non-gaussianity in the TSS and TTS sector is enhanced in the same region of the parameters space where the secondary production of gravitational waves is sizeable enough to enter in the sensitivity region of LISA, while the scalar $f_{\text{NL}}$ is still within the current experimental limits.