Dilatonic Inflation, Gravitino and Reheating in Modified Modular invariant Supergravity

TL;DR

This paper proposes a modified modular invariant supergravity model that successfully explains inflation consistent with WMAP data, estimates gravitino production, and predicts observable tensor-to-scalar ratios, linking particle physics and cosmology.

Contribution

It introduces a novel string-inspired supergravity model that achieves slow roll inflation and connects it with gravitino production and potential collider signals.

Findings

Model explains WMAP observations well.

Reheating temperature is below gravitino mass, preventing thermal gravitino production.

Predicted tensor-to-scalar ratio r ~ 0.068, possibly observable by Planck.

Abstract

A new modified string-inspired modular invariant supergravity model is proposed and is applied to realize the slow roll inflation in Einstein frame, so that the model explains WMAP observations very well. Gravitino mass and their production rate from scalar fields are estimated at certain values of parameters in the model. Seven cases of parameter choices are discussed here, among which some examples show the possibility of observation of gauginos by LHC experiments, which will give some hints of identity of dark matters. The reheating temperature, which is estimated by the stability condition of Boltzmann equation by using the decay rates of the dilaton $S$ into gauginos, is lower than the mass of gravitino. Therefore no thermal reproduction of gravitinos happens. The ratio between the scalar and tensor power spectrum is predicted to be almost the same for the seven cases under study, and its value $r \sim 6.8 \times 10^{-2}$ seems in the range possibly observed by the Planck satellite soon. The plausible supergravity model of inflation, which will be described here, will open the hope to construct a realistic theory of particles and cosmology in this framework, including yet undetected objects.