Generic no-scale inflation inspired from string theory compactifications

TL;DR

This paper develops a class of no-scale inflation models inspired by string theory compactifications, analyzing their predictions for the spectral index and tensor-to-scalar ratio, and demonstrating compatibility with current CMB observational data.

Contribution

It introduces a unified framework for no-scale inflation with multiple moduli derived from string theory, exploring their phenomenological viability and specific predictions for inflationary observables.

Findings

Spectral index n_s approximately 0.965 across models

Tensor-to-scalar ratio r varies with the number of moduli, e.g., 12/N^2 for one modulus

Models with quadratic and quartic potentials remain consistent with observational bounds

Abstract

We propose the generic no-scale inflation inspired from string theory compactifications. We consider the K\"ahler potentials with an inflaton field $\varphi$, as well as one, two, and three K\"ahler moduli. Also, we consider the renormalizable superpotential of $\varphi$ in general. We study the spectral index and tensor-to-scalar ratio in details, and find the viable parameter spaces which are consistent with the Planck and BICEP/Keck experimental data on the cosmic microwave background (CMB). The spectral index is $n_s\simeq 1-2/N \sim 0.965$ for all models, and the tensor-to-scalar ratio $r$ is $r\simeq12/N^2$, $ 83/N^4$ and $ 4/N^2$ for the one, two and three moduli models, respectively. The particular $r$ for two moduli model comes from the contributions of the non-negligible higher order term in potential. In the three moduli model, the scalar potential is similar to the global supersymmetry, but the K\"ahler potential is different. The E-model with $\alpha=1$ and T-model with $\alpha=1/3$ can be realized in the one modulus model and the three moduli model, respectively. Interestingly, the models with quadratic and quartic potentials still satisfy the current tight bound on $r$ after embedding into no-scale supergravity.