Primordial Non-Gaussianity in Supersolid Inflation

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.

54 pages, 13 figures. Latex file. A number of typos corrected with the JHEP version

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• Enhancing gravitational wave anisotropies with peaked scalar sources
• Primordial Stochastic Gravitational Wave Background Anisotropies: in-in Formalization and Applications
• Decoherence of Cosmological Perturbations from Boundary Terms and the Non-Classicality of Gravity
• Probing parity-odd bispectra with anisotropies of GW $V$ modes
• Primordial tensor bispectra in $\mu$-CMB cross-correlations
• The Physical Content of Long Tensor Modes in Cosmology
• Classical and Quantum Dynamics of Gyroscopic Systems and Dark Energy
• Evolution of perturbations in a universe with exotic solid-like matter