Floquet analysis of self-resonance in single-field models of inflation

Abstract

We review 52 models of single-field inflation, paying special attention to the possibility that self-resonance of the unstable inflaton perturbations leads to reheating. We compute Floquet exponents for the models that are consistent with current cosmological data. We find six models that exhibit a strong instability, but, barring the already known example of T-model of α-attractors, only in one of them – KKLT inflation – the equation of state efficiently approaches that of radiation.