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Universality Class in Conformal Inflation

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abstract

We develop a new class of chaotic inflation models with spontaneously broken conformal invariance. Observational consequences of a broad class of such models are stable with respect to strong deformations of the scalar potential. This universality is a critical phenomenon near the point of enhanced symmetry, SO(1,1), in case of conformal inflation. It appears because of the exponential stretching of the moduli space and the resulting exponential flattening of scalar potentials upon switching from the Jordan frame to the Einstein frame in this class of models. This result resembles stretching and flattening of inhomogeneities during inflationary expansion. It has a simple interpretation in terms of velocity versus rapidity near the Kahler cone in the moduli space, similar to the light cone of special theory of relativity. This effect makes inflation possible even in the models with very steep potentials. We describe conformal and superconformal versions of this cosmological attractor mechanism.

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representative citing papers

An EFT Map of Axion Dark Radiation from Reheating

hep-ph · 2026-05-16 · unverdicted · novelty 7.0

An EFT with inflaton-dependent axion kinetic term organizes direct decay and annihilation production during reheating, yielding ΔN_eff contributions that scale as T_rh^{-2} and T_rh^{4/3} respectively and allowing a two-dimensional map of constraints on Wilson coefficients and reheating temperature.

Harrison-Zeldovich attractor: From Planck to ACT results

astro-ph.CO · 2025-10-28 · conditional · novelty 6.0

Nonminimal derivative coupling realizes the Harrison-Zeldovich attractor for monomial, hilltop, and α-attractor E-models, pulling them to the scale-invariant spectrum suggested by ACT data.

Irreducible Graviton Floor from Reheating

hep-ph · 2026-05-15 · unverdicted · novelty 5.0

Perturbative inflaton decay emits an irreducible stochastic GW background with Ω_GW ∝ f spectrum whose amplitude is set by the hard decay rate and reaches O(10^{-17}) at GHz scales.

High Frequency Spectrum of Primordial Gravitational Waves

hep-ph · 2026-01-01 · unverdicted · novelty 5.0

High-frequency primordial gravitational waves extend to higher frequencies due to post-inflation inflaton dynamics, and their detailed spectrum shape can distinguish inflation models.

Equation of state during (p)reheating with trilinear interactions

astro-ph.CO · 2025-07-17 · unverdicted · novelty 5.0

Lattice simulations show that the post-inflationary equation of state with trilinear interactions returns to zero after an initial deviation, substantially lowering stochastic gravitational wave amplitudes relative to prior estimates.

Gravitational Waves from Matter Perturbations of Spectator Scalar Fields

hep-ph · 2026-04-06 · unverdicted · novelty 5.0

A spectator scalar field with strong portal coupling to the inflaton sources a stochastic gravitational wave background reaching Ω_GW h² ∼ 10^{-11} at frequencies 10^7-10^8 Hz for benchmark parameters σ/λ ≃ 10^4 and T_reh = 2×10^{14} GeV.

Accretion Effects on Primordial Black Hole Reheating Constraints

astro-ph.CO · 2026-05-15 · unverdicted · novelty 4.0

Accretion on primordial black holes prolongs matter domination and shifts reheating constraints from isocurvature gravitational waves and mergers toward smaller formation masses and initial abundances.

F-Term Hybrid Inflation with T-Model K\"ahler Geometry and Beyond

hep-ph · 2026-05-09 · unverdicted · novelty 4.0

F-term hybrid inflation with SU(1,1)/U(1) or SU(2)/U(1) Kähler geometry in GUTs can be realized without inflationary extrema for broad parameters, matching ACT/SPT data via curvature and tadpole adjustments while predicting cosmic string gravitational waves.

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