Three-form inflation and non-Gaussianity

Abstract

We calculate the perturbed action, at second and third order, for a massive three-form field minimally coupled to gravity, and use it to explore the observational predictions of three-form inflation. One intriguing result is that the value of the spectral index is nearly independent of the three-form potential, being fixed solely by the number of e-folds of inflation, with n_s=0.97 for the canonical number of 60. Considering the bispectrum, we employ standard techniques to give explicit results for two models, one of which produces a large non-Gaussianity. Finally, we confirm our results by employing a duality relating the three-form theory to a non-canonical scalar field theory and explicitly re-computing results in this dual picture.

23 pages, 6 figures. Typos corrected and addition of one appendix. Accepted in JCAP

References in corpus (10)

• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• Vector Inflation
• The Inflationary Trispectrum for Models with Large Non-Gaussianities
• Non-gaussianity from the trispectrum in general single field inflation
• Inflation from N-Forms and its stability
• P-nflation: generating cosmic Inflation with p-forms
• A Concise Introduction to Perturbation Theory in Cosmology
• Non-Gaussianity in single field models without slow-roll
• Cosmological constraints on general, single field inflation
• Perturbations and non-Gaussianities in three-form inflationary magnetogenesis

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• Inflation in a two 3-form fields scenario
• Regular Black Hole Interior Spacetime Supported by Three-Form Field
• 3-form inflation in Randall-Sundrum II
• Quantum behavior of the "Little Sibling" of the Big Rip induced by a three-form field
• Disformal vectors and anisotropies on a warped brane
• Non-Gaussianity in multiple three-form field inflation
• Arbitrarily coupled $p-$forms in cosmological backgrounds
• Black hole and naked singularity geometries supported by three-form fields
• Static spherically symmetric three-form stars
• A power-law coupled three-form dark energy model
• Correlation functions of sourced gravitational waves in inflationary scalar vector models. A symmetry based approach
• Topological mass generation and $2-$forms
• Inflation using a triplet of Antisymmetric tensor fields
• Scalar and vector modes in inflation with antisymmetric tensor field
• Non-canonical 3-form dark energy
• Hamiltonian formalism and constraint analysis of three-form matter models coupled with general relativity
• Vector wormholes as conduits for matter interaction