Symmetries of Vector Perturbations during the de Sitter Epoch

Abstract

We analyze the class of models where a suitable coupling between the inflaton field and the vector field gives rise to scale-invariant vector perturbations. We exploit the fact that the de Sitter isometry group acts as conformal group on the three-dimensional Euclidean space for the super-Hubble fluctuations in order to characterize the correlators involving the inflaton and the vector fields.

v2: References added, last paragraph of section 4 clarified. Submitted to JCAP

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• Consequences of Symmetries and Consistency Relations in the Large-Scale Structure of the Universe for Non-local bias and Modified Gravity
• Detecting higher spin fields through statistical anisotropy in the CMB and galaxy power spectra
• Gauge Field Preheating at the End of Inflation
• Stable solutions of inflation driven by vector fields
• Constraints on Gauge Field Production during Inflation
• Detecting higher spin fields through statistical anisotropy in the CMB bispectrum
• Equal-time Consistency Relations in the Large-Scale Structure of the Universe
• Arbitrarily coupled $p-$forms in cosmological backgrounds
• Anisotropic inflation with coupled $\mathbf{p}$-forms
• Inflation and Conformal Invariance: The Perspective from Radial Quantization
• Testing the Origin of Cosmological Magnetic Fields through the Large-Scale Structure Consistency Relations
• Correlation functions of sourced gravitational waves in inflationary scalar vector models. A symmetry based approach
• de Sitter symmetries and inflationary correlators in parity violating scalar-vector models
• On the primordial correlation of gravitons with gauge fields