Formulating E- & T-Model Inflation in Supergravity

Abstract

We present novel realizations of E- and T-model inflation within Supergravity which are largely associated with the existence of a pole of order one and two respectively in the kinetic term of the inflaton superfield. This pole arises due to the selected logarithmic Kahler potentials K, which parameterize hyperbolic manifolds with scalar curvature related to the coefficient (-N)<0 of a logarithmic term. The associated superpotential W exhibits the same R charge with the inflaton-accompanying superfield and includes all the allowed terms. The role of the inflaton can be played by a gauge singlet or non-singlet superfield. Models with one logarithmic term in K for the inflaton, require N=2, some tuning -- of the order of 10^-5 -- between the terms of W and predict a tensor-to-scalar ratio r at the level of 0.001. The tuning can be totally eluded for more structured K's, with N values increasing with r and spectral index close or even equal to its present central observational value.

arXiv commentPrepared for the Proceedings of HEP 2022, Thessaloniki, Greece -- Conference C22-06-15.1. arXiv admin note: substantial text overlap with arXiv:2208.11757

References in corpus (12)

• Planck 2018 results. X. Constraints on inflation
• Universality Class in Conformal Inflation
• Superconformal Inflationary $\alpha$-Attractors
• General inflaton potentials in supergravity
• BICEP/Keck Constraints on Attractor Models of Inflation and Reheating
• Generalized Pole Inflation: Hilltop, Natural, and Chaotic Inflationary Attractors
• Non-Minimal Higgs Inflation and non-Thermal Leptogenesis in a Supersymmetric Pati-Salam Model
• Starobinsky-Type Inflation With Products of Kaehler Manifolds
• Starobinsky Inflation: From Non-SUSY To SUGRA Realizations
• Gravitational Waves, mu Term & Leptogenesis from B-L Higgs Inflation in Supergravity
• An Alternative Framework for E-Model Inflation in Supergravity
• SU(2,1) / (SU(2) x U(1)) B-L Higgs Inflation

Cited by in corpus (2)

• E- & T-Model Hybrid Inflation
• Supersymmetric Horizons at the Edge of Effective Field Theory