Low Energy Supersymmetry from Non-Geometry

TL;DR

<3-5 sentence high-level summary>This work explores non-geometric flux compactifications in type II string theory on SU(3)×SU(3) structure orientifolds to stabilise all moduli while maintaining a high string scale and a dynamically small gravitino mass. By extending the GVW superpotential with non-geometric fluxes, the authors construct perturbatively exact Minkowski vacua (W=0) and then show that non-perturbative effects in the same moduli deform these into AdS vacua with m_{3/2} exponentially suppressed, enabling low-energy SUSY scenarios. They analyze consistency constraints from supergravity gaugings and world-volume anomalies, discuss axions and generalized KKLT frameworks, and outline SUSY-breaking avenues, including warped uplifts and metastable open-string sectors. The results indicate that the non-geometric landscape can host more abundant W=0 vacua than geometric ones and offer a concrete mechanism for dynamically small gravitino masses with potential phenomenological applications.

Abstract

We study a class of flux compactifications that have all the moduli stabilised, a high (GUT) string scale and a low (TeV) gravitino mass that is generated dynamically. These non-geometric compactifications correspond to type II string theories on SU(3)xSU(3) structure orientifolds. The resulting superpotentials admit, excluding non-perturbative effects, supersymmetric Minkowski vacua with any number of moduli stabilised. We argue that non-perturbative effects are present and introduce terms in the superpotential that are exponentially suppressed by the same moduli that appear perturbatively. These deform the supersymmetric Minkowski vacua to supersymmetric AdS vacua with an exponentially small gravitino mass. The resulting vacua allow for low scale supersymmetry breaking which can be realised by a number of mechanisms.