Large hierarchies from approximate R symmetries

TL;DR

This paper demonstrates that approximate R symmetries in supersymmetric theories can naturally produce small vacuum expectation values of the superpotential, aiding in moduli stabilization and explaining large scale hierarchies.

Contribution

It introduces a mechanism linking approximate R symmetries to hierarchically small superpotential values in supersymmetric models.

Findings

Small superpotential constants can arise from approximate R symmetries.

Such small constants are relevant for moduli stabilization.

The mechanism helps explain the hierarchy between Planck and electroweak scales.

Abstract

We show that hierarchically small vacuum expectation values of the superpotential in supersymmetric theories can be a consequence of an approximate R symmetry. We briefly discuss the role of such small constants in moduli stabilization and understanding the huge hierarchy between the Planck and electroweak scales.