Primordial non-Gaussianity in supersolid inflation

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(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(NL) is still within the current experimental limits.

Automated summary

In this study, we investigate primordial non-gaussianity in supersolid inflation using an effective field theory formulation. We find that non-gaussianity in the scalar perturbations is angle dependent and shows a blunt violation of the Maldacena consistency relation. Despite an angular average, the violation persists and the amount of non-gaussianity is significant in certain parameter space. Additionally, we observe an enhancement of non-gaussianity in the TSS and TTS sectors during inflation, coinciding with regions where the secondary production of gravitational waves is large enough to be detected by LISA.