On the equivalence between Starobinsky and Higgs inflationary models in gravity and supergravity

Abstract

Starobinsky inflation and Higgs inflation in gravity, and their equivalence based on the common inflationary potential are extended to supergravity in the proper framework, where the Starobinsky and Higgs descriptions of inflation arise in two different gauges of the same supergravity model.

arXiv comment13 pages, no figures; references added

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• Primordial black holes from modified supergravity
• E-models of inflation and primordial black holes
• Formation of primordial black holes after Starobinsky inflation
• On the superstring-inspired quantum correction to the Starobinsky model of inflation
• Fermion masses, critical behavior and universality
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• Inflation, SUSY breaking, and primordial black holes in modified supergravity coupled to chiral matter
• Exact and slow-roll solutions for exponential power-law inflation connected with f(R) gravity and observational constraints
• Pole inflation and primordial black holes formation in Starobinsky-like supergravity
• Quantum loop corrections in the modified gravity model of Starobinsky inflation with primordial black hole production
• Superpotential method for $F(R)$ cosmological models
• Pole-Induced Higgs Inflation With Hyperbolic Kaehler Geometries
• Brane inflation and the robustness of the Starobinsky inflationary model
• Ultraviolet Unitarity Violations in Non-minimally Coupled Scalar-Starobinsky Inflation
• Superpotential method and the amplification of inflationary perturbations
• One-loop corrections to the E-type $\alpha$-attractor models of inflation and primordial black hole production
• Minimal Starobinsky supergravity coupled to dilaton-axion superfield
• Improved model of large-field inflation with primordial black hole production in Starobinsky-like supergravity
• Single-field D-type inflation in the minimal supergravity in light of Planck-ACT-SPT data
• $F$-term Multi-Field Inflation in Supergravity without Stabiliser Superfields
• Supersymmetric higher-derivative models in quantum cosmology
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• Compact, long-range and vacuumless regimes controlled by scalar fields in two-dimensional flat and five-dimensional warped geometries
• A Passion for Theoretical Physics: a special issue in memory of Peter G. O. Freund