No-Scale Supergravity Realization of the Starobinsky Model of Inflation

TL;DR

This paper develops a no-scale supergravity inflation model that reproduces the Starobinsky R+R^2 inflation, matching Planck data with specific parameter choices, and provides a theoretical framework linking supergravity to inflationary cosmology.

Contribution

It introduces a no-scale supergravity model with a specific Kahler potential and superpotential that realizes the Starobinsky inflation model within supergravity.

Findings

Model matches Planck data for spectral index and tensor-to-scalar ratio.

Specific parameter choice reproduces the R+R^2 Starobinsky model.

Provides a supergravity-based theoretical foundation for inflation.

Abstract

We present a model for cosmological inflation based on a no-scale supergravity sector with an SU(2,1)/U(1) Kahler potential, a single modulus T and an inflaton superfield Phi described by a Wess-Zumino model with superpotential parameters (mu, lambda). This model yields a scalar spectral index n_s and a tensor-to-scalar ratio r that are compatible with the Planck measurements for values of lambda simeq mu/3M_P. For the specific choice lambda = mu/3M_P, the model is a no-scale supergravity realization of the R+R^2 Starobinsky model.