Nonsupersymmetric Flux Vacua and Perturbed N=2 Systems

TL;DR

This paper demonstrates how adding flux in local Calabi-Yau geometries can stabilize complex structure moduli in metastable, supersymmetry-breaking states, connecting geometric engineering with flux-induced superpotentials.

Contribution

It introduces a method to stabilize moduli via flux at infinity in local Calabi-Yau geometries and relates this to limits of larger CYs, extending the formalism to multiple 3-cycles.

Findings

Flux at infinity stabilizes complex structure moduli.

The setup can be realized as a limit of a larger Calabi-Yau.

Computed the CIV-DV prepotential for multiple cuts up to fifth order.

Abstract

We geometrically engineer N=2 theories perturbed by a superpotential by adding 3-form flux with support at infinity to local Calabi-Yau geometries in type IIB. This allows us to apply the formalism of Ooguri, Ookouchi, and Park [arXiv:0704.3613] to demonstrate that, by tuning the flux at infinity, we can stabilize the dynamical complex structure moduli in a metastable, supersymmetry-breaking configuration. Moreover, we argue that this setup can arise naturally as a limit of a larger Calabi-Yau which separates into two weakly interacting regions; the flux in one region leaks into the other, where it appears to be supported at infinity and induces the desired superpotential. In our endeavor to confirm this picture in cases with many 3-cycles, we also compute the CIV-DV prepotential for arbitrary number of cuts up to fifth order in the glueball fields.