Hilltop Inflation

Abstract

We study `hilltop' inflation, in which inflation takes place near a maximum of the potential. Viewed as a model of inflation after the observable Universe leaves the horizon (observable inflation) hilltop inflation is rather generic. If the potential steepens monotonically, observable hilltop inflation gives a tiny tensor fraction (r< 0.002). The usual F- and D-term models may easily be transmuted to hilltop models by Planck-suppressed terms, making them more natural. The only commonly-considered model of observable inflation which is definitely not hilltop is tree-level hybrid inflation. Viewed instead as an initial condition, we explain that hilltop inflation is more generic than seems to have been previously recognized, adding thereby to the credibility of the idea that eternal inflation provides the pre-inflationary initial condition.

Latex, 20 pages, 5 figures. Minor changes, references added

References in corpus (8)

• Completing Natural Inflation
• Landscape, the Scale of SUSY Breaking, and Inflation
• Racetrack Inflation
• Creation of a Compact Topologically Nontrivial Inflationary Universe
• Curvature Perturbations from Broken Symmetries
• Modular Cosmology, Thermal Inflation, Baryogenesis and Predictions for Particle Accelerators
• The running-mass inflation model and WMAP
• CLOVER - A new instrument for measuring the B-mode polarization of the CMB

Cited by in corpus (305)

• Planck 2018 results. X. Constraints on inflation
• Planck 2013 results. XXII. Constraints on inflation
• Encyclopaedia Inflationaris
• Inflationary Cosmology
• The Unity of Cosmological Attractors
• Particle physics models of inflation and curvaton scenarios
• The Best Inflationary Models After Planck
• Single Field Double Inflation and Primordial Black Holes
• The First Three Seconds: a Review of Possible Expansion Histories of the Early Universe
• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Inflation with a constant rate of roll
• Higgs inflation
• Cosmological Attractors and Initial Conditions for Inflation
• Production of Purely Gravitational Dark Matter
• D7-Brane Chaotic Inflation
• Exploring Cosmic Origins with CORE: Inflation
• Higgs inflation with loop corrections in the Palatini formulation
• Inflation models and observation
• Primordial gravitational waves for universality classes of pseudoscalar inflation
• Universality classes of inflation
• Scant evidence for thawing quintessence
• Constraining axion inflation with gravitational waves from preheating
• Hilltop Quintessence
• Robustness of Inflation to Inhomogeneous Initial Conditions
• Escher in the Sky
• Cosmological Attractors from $\alpha$-Scale Supergravity
• More hilltop inflation models
• Black hole formation and slow-roll inflation
• Quantum Breaking Bound on de Sitter and Swampland
• Constraining axion inflation with gravitational waves across 29 decades in frequency
• Underdetermination of dark energy
• Metastability in Quadratic Gravity
• Observable gravitational waves from inflation with small field excursions
• Matching current observational constraints with nonminimally coupled dark energy
• Supersymmetric Hybrid Inflation Redux
• Swampland Distance Conjecture, Inflation and $\alpha$-attractors
• On the Issue of the ζSeries Convergence and Loop Corrections in the Generation of Observable Primordial Non-Gaussianity in Slow-Roll Inflation. Part I: the Bispectrum
• Oscillons from String Moduli
• Large Nongaussianity from Nonlocal Inflation
• Inflation after Planck: Judgment Day
• Supersymmetric And Smooth Hybrid Inflation In The Light Of WMAP3
• An Extended Matter Bounce Scenario: current status and challenges
• Non-gaussianity and cosmic uncertainty in curvaton-type models
• The large-N running of the spectral index of inflation
• M-flation: Inflation From Matrix Valued Scalar Fields
• Accidental Inflation in String Theory
• Bayesian Calibrated Significance Levels Applied to the Spectral Tilt and Hemispherical Asymmetry
• Chaotic Inflation in Supergravity after Planck and BICEP2
• Weyl gauge symmetry and its spontaneous breaking in Standard Model and inflation
• Runaway Quintessence, Out of the Swampland
• New universal attractor in nonmininally coupled gravity: Linear inflation
• Higgs inflation at the hilltop
• Warping the Weak Gravity Conjecture
• D7-Brane Moduli Space in Axion Monodromy and Fluxbrane Inflation
• Anatomy of F_D-Term Hybrid Inflation
• Embedding inflation into the Standard Model - more evidence for classical scale invariance
• Transition To Order After Hilltop Inflation
• Slow-roll inflation in f(R,T) gravity and a modified Starobinsky-like inflationary model
• Gravitational production of super-Hubble-mass particles: an analytic approach
• Generalized Pole Inflation: Hilltop, Natural, and Chaotic Inflationary Attractors
• Chaotic inflation, radiative corrections and precision cosmology
• Constraining Warm Inflation with CMB data
• Dynamical compactification from de Sitter space
• Reheating phase diagram for single-field slow-roll inflationary models
• Triple unification of inflation, dark matter, and dark energy using a single field
• Determining the outcome of cosmic bubble collisions in full General Relativity
• The Higgs mass from a String-Theoretic Perspective
• Primordial Black Holes: sirens of the early Universe
• Predictions for Nongaussianity from Nonlocal Inflation
• Linear inflation from quartic potential
• Quasi-Conformal Models and the Early Universe
• The Lyth Bound of Inflation with a Tilt
• Inflation models after WMAP year three
• Minimal Supersymmetric Hybrid Inflation, Flipped SU(5) and Proton Decay
• Hybrid Inflation in the Complex Plane
• Dimensional Transmutation in Gravity and Cosmology
• Runaway potentials in warm inflation satisfying the swampland conjectures
• Observable Gravity Waves from Supersymmetric Hybrid Inflation II
• Large-$\eta$ Constant-Roll Inflation Is Never An Attractor
• Curvaton reheating allows TeV Hubble scale in NO inflation
• The Lyth Bound and the End of Inflation
• Stretching the Inflaton Potential with Kinetic Energy
• Warm hilltop inflation
• Surviving the crash: assessing the aftermath of cosmic bubble collisions
• Low scale inflation and the curvaton mechanism
• CMB targets after the latest Planck data release
• Type I Hilltop Inflation and the Refined Swampland Criteria
• Particle physics models of inflation
• Light Dark Photon Dark Matter from Inflation
• The reconstruction of inflationary potentials
• On hilltop and brane inflation after Planck
• Alleviating the cosmological constant problem from particle production
• Inflation at the Tip
• Towards Natural Inflation in String Theory
• Update on Minimal Supersymmetric Hybrid Inflation in Light of PLANCK
• The inflationary gravitational-wave background and measurements of the scalar spectral index
• Non-Minimally Gravity-Coupled Inflationary Models
• Inflation, the Hubble Tension and Early Dark Energy: an alternative overview
• Stochastic inflation at all order in slow-roll parameters: foundations
• Fractal initial conditions and natural parameter values in hybrid inflation
• Warped Tachyonic Inflation in Type IIB Flux Compactifications and the Open-String Completeness Conjecture
• Nonminimal coupling and inflationary attractors
• The challenge for single field inflation with BICEP2 result
• Trans-Planckian censorship of multistage inflation and dark energy
• Frame (In)equivalence in Quantum Field Theory and Cosmology
• Tight constraints on F- and D-term hybrid inflation scenarios
• Implications of the B-mode Polarization Measurement for Direct Detection of Inflationary Gravitational Waves
• Observable Gravity Waves From Supersymmetric Hybrid Inflation
• Large curvature perturbations near horizon crossing in single-field inflation models
• Constraints on the reheating temperature from sizable tensor modes
• Pleasant behavior of swampland conjectures in the face of specific inflationary models
• Models of Modular Inflation and Their Phenomenological Consequences
• Mutated Hilltop Inflation : A Natural Choice for Early Universe
• Inflation With Realistic Supersymmetric SO(10)
• Supergravity Modification of D-term Hybrid Inflation: Solving the Cosmic String and Spectral Index Problems via a Right-Handed Sneutrino
• Contribution of the hybrid inflation waterfall to the primordial curvature perturbation
• Tachyon Inflation in Teleparallel Gravity
• Non-Gaussianity from Axionic Curvaton
• Testing Predictions of the Quantum Landscape Multiverse 1: The Starobinsky Inflationary Potential
• WarmSPy: a numerical study of cosmological perturbations in warm inflation
• Hiding cosmic strings in supergravity D-term inflation
• Inflation in Supersymmetric SU(5)
• Modulated Inflation
• Inflationary Potential as seen from Different Angles: Model Compatibility from Multiple CMB Missions
• Reheating in small-field inflation on the brane: The Swampland Criteria and observational constraints in light of the PLANCK 2018 results
• Curvature perturbation spectra from waterfall transition, black hole constraints and non-Gaussianity
• Preheating after Small-Field Inflation
• Super Hilltop Inflation
• Subleading Effects and the Field Range in Axion Inflation
• Non-minimal coupling in light of ACT
• The present and future of the most favoured inflationary models after $Planck$ 2015
• Large Gravitational Waves and Lyth Bound in Multi Brane Inflation
• Kaehler Potentials for Hilltop F-term Hybrid Inflation
• Inflation from Supersymmetry Breaking
• Trans-Planckian censorship and single-field inflaton potential
• Inflationary predictions of double-well, Coleman-Weinberg, and hilltop potentials with non-minimal coupling
• Properties of oscillons in hilltop potentials: energies, shapes, and lifetimes
• B-mode Targets
• Hybrid Inflation Revisited in Light of WMAP5
• Inflation near a metastable de Sitter vacuum from moduli stabilisation
• A case for kinetically dominated initial conditions for inflation
• Red Spectral Tilt and Observable Gravity Waves in Shifted Hybrid Inflation
• Reducing the Spectral Index in Supernatural Inflation
• Hill crossing during preheating after hilltop inflation
• Beyond the Poles in Attractor Models of Inflation
• Observational constraints on inflationary models with non-minimally derivative coupling by ACT
• Impact of other scalar fields on oscillons after hilltop inflation
• Hilltop Curvatons
• Non-gaussianity in axion N-flation models: detailed predictions and mass spectra
• Inflation from periodic extra dimensions
• Modified Lyth bound and implications of BICEP2 results
• Parametric resonance after hilltop inflation caused by an inhomogeneous inflaton field
• New smooth hybrid inflation
• Semi-shifted hybrid inflation with B-L cosmic strings
• Evading the Lyth Bound in Hybrid Natural Inflation
• On chromonatural inflation in string theory
• Inflation in a Web
• Large non-Gaussianity in non-minimal inflation
• Reducing the spectral index in F-term hybrid inflation through a complementary modular inflation
• TeV scale seesaw from supersymmetric Higgs-lepton inflation and BICEP2
• Large Field Polynomial Inflation: Parameter Space, Predictions and (Double) Eternal Nature
• Brans-Dicke inflation in light of the Planck 2015 data
• Consistent inflationary cosmology from quadratic gravity with dynamical torsion
• A refined trans-Planckian censorship conjecture
• Phenomenological approaches of inflation and their equivalence
• Tracking the Multifield Dynamics with Cosmological Data: A Monte Carlo approach
• Generalized Hilltop Inflation
• $\mu$-Hybrid Inflation with Low Reheat Temperature and Observable Gravity Waves
• Electroweak Vacuum Metastability and Low-scale Inflation
• Scale-dependent CMB asymmetry from primordial configuration
• Induced-Gravity GUT-Scale Higgs Inflation in Supergravity
• Standard-smooth hybrid inflation
• Topological Eternal Hilltop Inflation and the Swampland Criteria
• Gravitational Waves, mu Term & Leptogenesis from B-L Higgs Inflation in Supergravity
• Approximate reconstruction of inflationary potential with ACT observations
• Theoretical bounds on the tensor-to-scalar ratio in the cosmic microwave background
• Superhorizon entanglement from inflationary particle production
• Inflationary Models with Gauss-Bonnet Coupling in Light of ACT Observations
• Anisotropic constant-roll inflation for the Dirac-Born-Infeld model
• Numerical study of the Schwinger effect in axion inflation
• Production of ultralight dark matter from inflationary spectator fields
• Post-inflationary Scalar Tensor Cosmology and Inflationary Parameters
• Particle production and dissipation caused by the Kaluza-Klein tower
• Computation of Gravitational Particle Production Using Adiabatic Invariants
• Predictions of the Quantum Landscape Multiverse
• Low Scale Inflation at High Energy Colliders and Meson Factories
• New Inflation in Supersymmetric SU(5) and Flipped SU(5) GUT Models
• Mutated hilltop inflation revisited
• Primordial non-Gaussianity in warm inflation using $\delta N$ formalism
• Small field models with gravitational wave signature supported by CMB data
• Hilltop inflation with preinflation from coupling to matter fields
• Modular thermal inflation without slow-roll approximation
• Minimizing the tensor-to-scalar ratio in single-field inflation models
• Non-Gaussianity constrains hybrid inflation
• Squared Quartic Hilltop Inflation
• Waterfall stiff period can generate observable primordial gravitational waves
• Hilltop Supernatural Inflation and Gravitino Problem
• Inflation, Leptogenesis, and Yukawa Quasi-Unification within a Supersymmetric Left-Right Model
• Supersymmetric B-L inflation near the conformal coupling
• Clearing the Brush: The Last Stand of Solo Small Field Inflation
• $\mathcal{O}(10)M_{\odot }$ primordial black holes and string axion dark matter
• FRW Cosmology with Non-positively Defined Higgs Potentials
• Eternal inflation in a dissipative and radiation environment: Heated demise of eternity
• Comparing geometric and gravitational particle production in Jordan and Einstein frames
• Inflation from cosmological constant and nonminimally coupled scalar
• Beyond (and back to) Palatini quadratic gravity and inflation
• Supergravity and Two-Field Inflation Effects in Right-Handed Sneutrino-Modified D-term Inflation
• Large tensor spectrum of BICEP2 in the natural SUSY hybrid model
• Variants of Kinetically Modified Non-Minimal Higgs Inflation in Supergravity
• Can Inflation Induce Supersymmetry Breaking in a Metastable Vacuum?
• Unitarity-Safe Models of Non-Minimal Inflation in Supergravity
• Radiative Corrections from Heavy Fast-Roll Fields during Inflation
• Reheating constraints on mutated hilltop inflation
• Measuring inflaton couplings via dark radiation as $\Delta N_{\mathrm{eff}}$ in CMB
• Modified hybrid inflation, reheating and stabilization of the electroweak vacuum
• Note on initial conditions for small-field inflation
• BICEP2, the curvature perturbation and supersymmetry
• Primordial gravitational wave of BICEP2 from dynamical double hybrid inflation
• Hilltop Supernatural Inflation and SUSY Unified Models
• F-Term Hybrid Inflation Followed by a Peccei-Quinn Phase Transition
• Spectral Index and Non-Gaussianity in Supersymmetric Hybrid Inflation
• Cosmological Constraints on Rapid Roll Inflation
• Supersymmetric Majoron Inflation
• Higher order terms in the inflaton potential and the lower bound on the tensor to scalar ratio r
• Hilltop inflation and generation of helical magnetic field
• Loop corrections to primordial fluctuations from inflationary phase transitions
• Warped Radion Inflation
• Constant-roll inflation driven by a scalar field with non-minimal derivative coupling
• Canonical single field slow-roll inflation with a non-monotonic tensor-to-scalar ratio
• Non-Gaussianities in DBI inflation with angular motion
• Quantum Smearing in Hybrid Inflation with Chaotic Potentials
• Stochastic inflation and non-perturbative power spectrum beyond slow roll
• Inflation in supergravity from field redefinitions
• Prospects for Primordial Gravitational Waves in String Inflation
• Inflation as de Sitter instability
• Constraining non-minimally coupled squared-Quartic Hilltop Inflation in light of ACT observations
• Scale Factor Self-Dual Cosmological Models
• Small Field Inflation and the Spectral Index
• Inflationary Cosmology via Quantum Corrections in M-theory
• Non-Minimal M-flation
• Intermediate Scale Inflation and Metastable Supersymmetry Breaking
• Non-Minimal Inflation with a scalar-curvature mixing term $\frac{1}{2}\xi R{\varphi }^2$
• The Tensor Desert
• Inflation with antisymmetric tensor field: new candidates
• Topological inflation with graceful exit
• Large non-Gaussianity generated at the end of Extended D-term Hybrid Inflation
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• New Inflation in Waterfall Region
• Inflation in maximal gauged supergravities
• Slow-roll Natural & Hilltop Inflation in Rastall Gravity
• Thermodynamics of the Primordial Universe
• Evolution of thick domain walls in inflationary and $p=w\rho$ universe
• E- & T-Model Hybrid Inflation
• Implications of Dynamical Dark Energy in the expansion of the Universe and the Structure Formation
• Surprising phenomena in a rich new class of inflationary models
• The Inflationary Quartic Hilltop Model in a Modified Gravity and Its Comparison with the Observations
• Initial conditions for small-field inflation
• Confronting Inflation Models with the Coming Observations on Primordial Gravitational Waves
• Harrison-Zeldovich attractor: From Planck to ACT results
• Compactification driven Hilltop Inflation in Einstein-Yang-Mills
• Slow-roll inflation in $f\left(R,T,R_{ab}{T}^{ab}\right)$ gravity
• The Inflationary Dynamics with the Scalar-Tensor Model
• GUT-scale inflation with sizeable tensor modes
• New- vs. chaotic-inflations
• Observational Restrictions and Slow-Roll D-brane Inflation in the Special $F(\varphi ,T)$ Gravity
• Post-inflationary production of particle Dark Matter: Hilltop and Coleman-Weinberg inflation
• The Quantum Phase of Inflation
• Internal symmetries in Kaluza-Klein models
• Kinetically Modified Non-Minimal Inflation With Exponential Frame Function
• Reheating constraints and the $H_0$ tension in Quintessential Inflation
• Getting inflationary models using the deformation method
• Remarks on non-gaussian fluctuations of the inflaton and constancy of ζoutside the horizon
• Preheating and gravitational waves in large-field hilltop inflation
• Constraints on the generalized natural inflation after Planck 2018
• Inflationary attractors from a non-canonical kinetic term
• Scaling behavior of observables as a model characteristic in multifield inflation
• Eternal inflation near inflection points: a challenge to primordial black hole models
• Inflation: a quantum laboratory on cosmological scales
• Loop-corrected scalar potentials and late-time acceleration in f(R) gravity
• Slow-roll Hilltop Inflation in $f(\varphi ,T)$ gravity
• Scalar Cosmological Perturbations in M-theory with Higher Derivative Corrections
• Are latest detected events of gravitational waves in favor of some models of inflation based on string theory?
• Inflation Story: slow-roll and beyond
• Inflationary $\alpha$-Attractor Models with Singular Derivative of Potential
• Inflationary predictions at small gamma
• Inflation Alternative via the Gravitational Field of a Singularity
• Inflationary attractors from nonminimal coupling
• Primordial GWs from universality classes of pseudo-scalar inflation
• Modified Gravity Framework for the Woods-Saxon Inflation: Theoretical Foundations and Observational Constraints
• Reconciling the ACT Preference in $f(T)$ Gravity: Inflation and Reheating Constraints
• Inflation in a Gaussian Random Landscape
• Theoretical and observational aspects of cosmological inflation
• Constraints on polynomial inflation under power-law perturbations
• Relaxation of hierarchy in higher-dimensional Starobinsky model
• Hybrid Inflation in Quasi-minimal Supergravity with Monotonic Inflationary Potentia
• Anisotropic constant-roll k-inflation model
• Mutated hilltop inflation in light of Planck/ACT observations
• Wormhole Solutions and Pre-inflationary Epoch in $F(R,T)$ Gravity with Axion Fields
• Constraining the inflaton potential with gravitational waves from oscillons
• The (relative) size does not matter in inflation
• Inflation in Wess--Zumino Models
• Gravitational wave production after inflation for a hybrid inflationary model
• Quantum corrections to slow-roll inflation: scalar and tensor modes
• Cosmological Perturbations via Quantum Corrections in M-theory
• A double-running inflaton mass for a flat potential and an assisted hilltop inflation