Superconformal Inflationary $\alpha$-Attractors

Abstract

Recently a broad class of superconformal inflationary models was found leading to a universal observational prediction $n_s=1-2/N$ and $r=12/N^2$. Here we generalize this class of models by introducing a parameter $\alpha$ inversely proportional to the curvature of the inflaton Kahler manifold. In the small curvature (large $\alpha$) limit, the observational predictions of this class of models coincide with the predictions of generic chaotic inflation models. However, for sufficiently large curvature (small $\alpha$), the predictions converge to the universal attractor regime with $n_s=1-2/N$ and $r=12\alpha /N^2$, which corresponds to the part of the $n_s-r$ plane favored by the Planck data.

14 pages, 2 figures

References in corpus (2)

• The Standard Model Higgs boson as the inflaton
• New models of chaotic inflation in supergravity

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• Nonclassical cosmological dynamics in the low-energy limit of loop quantum scalar-tensor theory
• Spontaneous baryogenesis and generation of gravitational waves in a new model of quintessential $\alpha$-attractor
• Chaotic Inflation from the MSSM Along Flat $D$-Term Trajectory
• Inflationary $\alpha$-Attractor Models with Singular Derivative of Potential
• Generic no-scale inflation inspired from string theory compactifications
• $F$-term Multi-Field Inflation in Supergravity without Stabiliser Superfields
• Primordial Gravitational Waves and Reheating in a New Class of Plateau-like Inflationary Potentials
• Confronting Mukhanov Parametrization of Inflationary Equation-of-State with ACT-DR6
• Development of generic no-scale inflation
• Modified Gravity Framework for the Woods-Saxon Inflation: Theoretical Foundations and Observational Constraints
• Bridging inflation and reheating: chiral gravitational waves from aHz to GHz
• Inflation and primordial fluctuations in $f(Q,T)$ gravity
• Non-minimally coupled quintessential inflation
• Inflationary $\alpha$-Attractor From Type IIB/F Theory
• A cross-epoch endpoint-consistency test of a single effective scaling from dark energy to inflation
• Beyond $f(\varphi )\mathcal{G}$: Gauss--Bonnet inflation with $\mu (\varphi ,X)$
• Constraining the inflaton potential with gravitational waves from oscillons
• Curvature-Assisted Dynamical Compactification in a Pre-Inflationary Higher-Dimensional Universe
• Complex Inflaton Potentials with Nonminimal Coupling: Robust Inflation and Geometric Reheating
• Phenomenology of SUGRA Extensions of the Starobisnky Model
• Sequestered Inflation
• Adaptive asymptotic solutions of inflationary models in the Hamilton-Jacobi formalism: Application to T-models
• Inflation from a generalized exponential plateau: towards extra suppressed tensor-to-scalar ratios
• Bayes' Theorem, Inflation, and the Ekpyrotic Universe