U(1) Mediation of Flux Supersymmetry Breaking

TL;DR

This paper explores how background fluxes in Type II string compactifications can mediate supersymmetry breaking through U(1) gauge interactions, using complex internal geometries and topological analysis.

Contribution

It introduces a novel mechanism for flux-induced supersymmetry breaking mediation via U(1) couplings in non-Kaehler resolved Calabi-Yau manifolds, with explicit geometric constructions.

Findings

Constructed compact models with desired flux and U(1) properties

Analyzed the topology of internal manifolds and their impact on mediation

Confirmed the connection between hidden and visible sectors through geometry

Abstract

We study the mediation of supersymmetry breaking triggered by background fluxes in Type II string compactifications with N=1 supersymmetry. The mediation arises due to an U(1) vector multiplet coupling to both a hidden supersymmetry breaking flux sector and a visible D-brane sector. The required internal manifolds can be constructed by non-Kaehler resolutions of singular Calabi-Yau manifolds. The effective action encoding the U(1) coupling is then determined in terms of the global topological properties of the internal space. We investigate suitable local geometries for the hidden and visible sector in detail. This includes a systematic study of orientifold symmetries of del Pezzo surfaces realized in compact geometries after geometric transition. We construct compact examples admitting the key properties to realize flux supersymmetry breaking and U(1) mediation. Their toric realization allows us to analyze the geometry of curve classes and confirm the topological connection between the hidden and visible sector.