Galilean symmetry in the effective theory of inflation: new shapes of non-Gaussianity

Abstract

We study the consequences of imposing an approximate Galilean symmetry on the Effective Theory of Inflation, the theory of small perturbations around the inflationary background. This approach allows us to study the effect of operators with two derivatives on each field, which can be the leading interactions due to non-renormalization properties of the Galilean Lagrangian. In this case cubic non-Gaussianities are given by three independent operators, containing up to six derivatives, two with a shape close to equilateral and one peaking on flattened isosceles triangles. The four-point function is larger than in models with small speed of sound and potentially observable with the Planck satellite.

23 pages, 6 figures. v2: minor changes to match JCAP published version

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• Observational tests of inflation with a field derivative coupling to gravity
• Galileons as Wess-Zumino Terms
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• On Loops in Inflation III: Time Independence of zeta in Single Clock Inflation
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• Selected topics in scalar-tensor theories and beyond
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• Subluminal Galilean Genesis
• de Sitter Galileon
• Weakly Broken Galileon Symmetry
• Vainshtein mechanism in second-order scalar-tensor theories
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• Covariant multi-galileons and their generalisation
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• Effective perfect fluids in cosmology
• Galileons on Cosmological Backgrounds
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• New terms for scalar multi-Galileon models and application to SO(N) and SU(N) group representations
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• Anatomy of bispectra in general single-field inflation -- modal expansions
• Inflationary gravitational waves in the effective field theory of modified gravity
• DBI Galileon in the Effective Field Theory of Inflation: Orthogonal non-Gaussianities and constraints from the Trispectrum
• On degenerate models of cosmic inflation
• Cosmological Angular Trispectra and Non-Gaussian Covariance
• Non-Canonical Inflation in Supergravity
• On the Trispectrum of Galileon Inflation
• Non-Gaussianity of a single scalar field in general covariant Hořava-Lifshitz gravity
• Non-Gaussian Shape Recognition
• Noether symmetry in Horndeski Lagrangian
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• The Cosmological OTOC: A New Proposal for Quantifying Auto-Correlated Random Non-Chaotic Primordial Fluctuations
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