An Alternative for Moduli Stabilisation

TL;DR

This paper computes the one-loop vacuum energy in a class of string vacua with spontaneously broken supersymmetry, showing the potential stabilizes moduli without tachyons or phase transitions, leading to a stable anti de Sitter minimum.

Contribution

It introduces a method to stabilize geometric moduli in string vacua via one-loop effects in asymmetric Scherk-Schwarz deformations, avoiding tachyons and phase transitions.

Findings

Vacuum energy is finite and free of divergences.

The effective potential has a global anti de Sitter minimum.

Moduli are naturally stabilized without tachyons.

Abstract

The one-loop vacuum energy is explicitly computed for a class of perturbative string vacua where supersymmetry is spontaneously broken by a T-duality invariant asymmetric Scherk-Schwarz deformation. The low-lying spectrum is tachyon-free for any value of the compactification radii and thus no Hagedorn-like phase-transition takes place. Indeed, the induced effective potential is free of divergence, and has a global anti de Sitter minimum where geometric moduli are naturally stabilised.