Enhanced Symmetries of Orbifolds from Moduli Stabilization

TL;DR

This paper investigates how moduli stabilization in a six-dimensional supersymmetric orbifold compactification leads to enhanced symmetries at specific points in moduli space, with implications for the mass spectrum.

Contribution

It introduces a mechanism where Casimir energy and localized Fayet-Iliopoulos terms stabilize moduli and enhance symmetries in orbifold compactifications.

Findings

Shape moduli are fixed at symmetry-enhanced points by Casimir energy.

Volume modulus is stabilized at a small size by Fayet-Iliopoulos terms.

All moduli masses are below the gravitino mass.

Abstract

We study a supersymmetric field theory in six dimensions compactified on the orbifold T^2/Z_2 with two Wilson lines. After supersymmetry breaking, the Casimir energy fixes the shape moduli at fixed points in field space where the symmetry of the torus lattice is enhanced. Localized Fayet-Iliopoulos terms stabilize the volume modulus at a size much smaller than the inverse supersymmetry breaking scale. All moduli masses are smaller than the gravitino mass.