Non-Gaussianity in multiple three-form field inflation

Abstract

In this work, we present a method for implementing the $\delta N$ formalism to study the primordial non-Gaussianity produced in multiple three-form field inflation. Using a dual description relating three-form fields to noncanonical scalar fields, and employing existing results, we produce expressions for the bispectrum of the curvature perturbation in terms of three-form quantities. We study the bispectrum generated in a two three-form field inflationary scenario for a particular potential that for suitable values of the parameters was found in earlier work to give values of the spectral index and ratio of tensor to scalar perturbations compatible with current bounds. We calculate the reduced bispectrum for this model, finding an amplitude in equilateral and orthogonal configurations of $\mathcal{O}(1)$ and in the squeezed limit of $\mathcal{O}(10^{-3})$. We confirm, therefore, that this three-form inflationary scenario is compatible with present observational constraints.

14 pages, 3 figures, discussion added, references updated, version accepted in PRD

References in corpus (13)

• A Joint Analysis of BICEP2/Keck Array and Planck Data
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• Primordial Non-Gaussianities from Inflation Models
• Non-Gaussianities in two-field inflation
• The shape of primordial non-Gaussianity and the CMB bispectrum
• Non-gaussianity from the second-order cosmological perturbation
• A numerical study of non-gaussianity in the curvaton scenario
• P-nflation: generating cosmic Inflation with p-forms
• Primordial Non-Gaussianities of General Multiple Field Inflation
• General analytic predictions of two-field inflation and perturbative reheating
• Inflation in a two 3-form fields scenario
• The Separate Universe Approach to Soft Limits
• Testing Two-Field Inflation

Cited by in corpus (12)

• Interacting 3-form dark energy models: distinguishing interactions and avoiding the Little Sibling of the Big Rip
• Wormhole geometries supported by three-form fields
• Dynamical analysis of cosmological models with non-Abelian gauge vector fields
• Traversable Wormhole in Einstein 3-Form Theory With Self-Interacting Potential
• Regular Black Hole Interior Spacetime Supported by Three-Form Field
• Quantum behavior of the "Little Sibling" of the Big Rip induced by a three-form field
• Arbitrarily coupled $p-$forms in cosmological backgrounds
• Black hole and naked singularity geometries supported by three-form fields
• Correlation functions of sourced gravitational waves in inflationary scalar vector models. A symmetry based approach
• Topological mass generation and $2-$forms
• Generalized Three-Form Field
• Hamiltonian formalism and constraint analysis of three-form matter models coupled with general relativity