On the geometrical interpretation of scale-invariant models of inflation

Abstract

We study the geometrical properties of scale-invariant two-field models of inflation. In particular, we show that when the field-derivative space in the Einstein frame is maximally symmetric during inflation, the inflationary predictions can be universal and independent of the details of the theory.

arXiv comment14 pages, no figures

References in corpus (18)

• The Standard Model Higgs boson as the inflaton
• The Unity of Cosmological Attractors
• Conformal Symmetry and the Standard Model
• Quantum scale invariance, cosmological constant and hierarchy problem
• Scale invariance, unimodular gravity and dark energy
• Higgs-Dilaton Cosmology: From the Early to the Late Universe
• Multi-field Conformal Cosmological Attractors
• Higgs-Dilaton Cosmology: an effective field theory approach
• Scale-invariant alternatives to general relativity
• Scale-Independent Inflation and Hierarchy Generation
• Generalized Pole Inflation: Hilltop, Natural, and Chaotic Inflationary Attractors
• Cosmological Attractors and Asymptotic Freedom of the Inflaton Field
• Higgs-Dilaton cosmology: Are there extra relativistic species?
• Higgs-Dilaton cosmology: Universality vs. criticality
• Weyl vs. Conformal
• Pole Inflation - Shift Symmetry and Universal Corrections
• Scale invariant alternatives to general relativity. II. Dilaton properties
• Cosmological Constraints on Higgs-Dilaton Inflation

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