Generic no-scale inflation inspired from string theory compactifications

Abstract

We propose the generic no-scale inflation inspired from string theory compactifications. We consider the Kähler potentials with an inflaton field $\phi$, as well as one, two, and three Kähler moduli. Also, we consider the renormalizable superpotential of $\phi$ 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 $r\simeq 12/N^2$, $83/N^4$ 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 Kähler 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.

arXiv comment40 pages, 32 figures, 2 tables; v2: pubulished version, references added

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• Development of generic no-scale inflation