From $R^2$ Gravity to No-Scale Supergravity

TL;DR

This paper demonstrates the equivalence between $R^2$ gravity coupled to scalar fields and no-scale supergravity, providing a framework for constructing Starobinsky-like inflation models.

Contribution

It establishes a novel connection between $R^2$ gravity and no-scale supergravity, enabling new approaches to inflation model building.

Findings

$R^2$ gravity with scalars is equivalent to no-scale supergravity.

The conformal factor corresponds to the Kähler potential.

Constructs Starobinsky-like inflation models within this framework.

Abstract

We show that $R^2$ gravity coupled conformally to scalar fields is equivalent to the real bosonic sector of SU(N,1)/SU(N)$\times$U(1) no-scale supergravity, where the conformal factor can be identified with the K\"ahler potential, and we review the construction of Starobinsky-like models of inflation within this framework.