Solid Soft Theorems

Abstract

We derive cosmological soft theorems for solids coupled to gravity. To this end, we first derive all cosmological adiabatic modes for solids, which display the interesting novelty of non-vanishing anisotropic stresses on large scales. Then, from the corresponding symmetries of the action of perturbations we compute the leading order related soft theorems using the operator product expansion. For the scalar bispectrum, we re-derive the result that Maldacena's consistency relation is recovered only upon angular averaging over the long mode direction. In addition, we find theorems for soft tensor and vector perturbations. In passing, we also clarify the derivation of these soft theorems in gauges where no residual diffeomorphisms exist.

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• From Amplitudes to Contact Cosmological Correlators
• Amplitudes meet Cosmology: A (Scalar) Primer
• The Cosmological Phonon: Symmetries and Amplitudes on Sub-Horizon Scales
• Induced superhorizon tensor perturbations from anisotropic non-Gaussianity
• Cosmological Polytopes and the Wavefuncton of the Universe for Light States
• Anisotropic separate universe and Weinberg's adiabatic mode
• Probing parity-odd bispectra with anisotropies of GW $V$ modes
• Primordial tensor bispectra in $\mu$-CMB cross-correlations
• Soft theorems for boosts and other time symmetries
• Zoology of Graviton non-Gaussianities
• Soft Phonon Theorems
• Spatial Curvature at the Sound Horizon
• Primordial Tensor Non-Gaussianity from Massive Gravity
• Fractional soft limits