An Alternative Framework for E-Model Inflation in Supergravity

Abstract

We present novel realizations of E-model inflation within Supergravity which are largely associated with the existence of a pole of order one in the kinetic term of the (gauge-singlet) inflaton superfield. This pole arises due to the selected logarithmic Kahler potentials K1 and ~K1, which parameterize the same hyperbolic manifold with scalar curvature R=-2/N, where N>0 is the coefficient of a logarithmic term. The associated superpotential W exhibits the same R charge with the inflaton-accompanying superfield and includes all the allowed renormalizable terms. For K=K1, inflation can be attained for N=2 at the cost of some tuning regarding the coefficients of the W terms and predicts a tensor-to-scalar ratio r at the level of 0.001. The tuning can be totally eluded for K=~K1, which allows for quadratic- and quartic-like models with N values increasing with r and spectral index ns close or even equal to its present central observational value.

arXiv commentTo appear in EPJC

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• Inflection-Point Sgoldstino Inflation in no-Scale Supergravity
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• Pole Inflation in Supergravity
• Induced-Gravity Palatini-Like Higgs Inflation in Supergravity Confronts ACT DR6
• Formulating E- & T-Model Inflation in Supergravity
• Starobinsky Inflation with T-Model Kaehler Geometries