Local models of Gauge Mediated Supersymmetry Breaking in String Theory

TL;DR

The paper develops a local string-theory framework for gauge-mediated supersymmetry breaking by embedding two decoupled D-brane sectors—one visible with MSSM-like content and one hidden with dynamical SUSY breaking—into a single Calabi-Yau geometry via a small partial resolution. Using dimer diagrams, it provides a computable messenger sector arising from strings stretching between the two sectors, with mediation controlled by the inter-singularity distance and the geometry’s Kahler moduli. A simple two-singularity example and a more complete MSSM-like model with D7-flavor branes illustrate explicit spectra and couplings, while additional directions explore flavor universality, non-Abelian orbifolds, and complex deformation alternatives. Overall, the approach yields UV-insensitive, locally computable GMSB realizations in string theory, offering a tractable path toward phenomenologically viable stringy mediation scenarios.

Abstract

We describe local Calabi-Yau geometries with two isolated singularities at which systems of D3- and D7-branes are located, leading to chiral sectors corresponding to a semi-realistic visible sector and a hidden sector with dynamical supersymmetry breaking. We provide explicit models with a 3-family MSSM-like visible sector, and a hidden sector breaking supersymmetry at a meta-stable minimum. For singularities separated by a distance smaller than the string scale, this construction leads to a simple realization of gauge mediated supersymmetry breaking in string theory. The models are simple enough to allow the explicit computation of the massive messenger sector, using dimer techniques for branes at singularities. The local character of the configurations makes manifest the UV insensitivity of the supersymmetry breaking mediation.

Figures (26)

• Figure 1: (a) The dimer diagram (as a tiling of the $\bf T^2$ upon identifying sides of the paralelogram) and (b) the quiver diagram of the gauge theory on D3-branes at the $\bf C^3/\bf Z_3$ singularity.
• Figure 2: The dimer diagram (a) and quiver diagram (b) of the gauge theory on D3-branes at a singularity given by a complex cone over $dP_1$ (the $dP_1$ theory, for short).
• Figure 3: (a) Web diagram for the $dP_0$ singularity. For clarity we show the geometry for a non-zero size of the internal pieces. (b) Dimer diagram and zig-zag paths for the $dP_0$ theory. The $(p,q)$ homology class of the path is related to the $(p,q)$ label of an external leg in the web diagram of the geometry.
• Figure 4: (a) Web diagram for the $dP_1$ singularity. For clarity we show the geometry for a non-zero size of the internal pieces. (b) Dimer diagram and zig-zag paths for the $dP_1$ theory. The $(p,q)$ homology class of the path is related to the $(p,q)$ label of an external leg in the web diagram of the geometry.
• Figure 5: (a) Extended dimer diagram of the $dP_0$ theory with some examples of D7-branes represented as segments across the edges. (b) Quiver diagram including D7-branes (represented as white nodes). There are 33-37-73 couplings involving the 33 bi-fundamental across which the corresponding D7-brane stretches.