Toric Lego: A method for modular model building
Vijay Balasubramanian, Per Berglund, I\~naki Garc\'ia-Etxebarria
TL;DR
The paper introduces a systematic modular approach for constructing complex local type IIB models from toric Calabi-Yau singularities, enabling flexible sector interactions via tunable massive mediators.
Contribution
It presents a novel method for assembling multiple sectors into consistent models with controlled interactions, applicable to string theory brane configurations.
Findings
Successfully applied to a toy MSSM model with gauge mediation
Demonstrated joining of sectors via massive messengers with tunable masses
Extended the approach to type IIA brane configurations using a mirror procedure
Abstract
Within the context of local type IIB models arising from branes at toric Calabi-Yau singularities, we present a systematic way of joining any number of desired sectors into a consistent theory. The different sectors interact via massive messengers with masses controlled by tunable parameters. We apply this method to a toy model of the minimal supersymmetric standard model (MSSM) interacting via gauge mediation with a metastable supersymmetry breaking sector and an interacting dark matter sector. We discuss how a mirror procedure can be applied in the type IIA case, allowing us to join certain intersecting brane configurations through massive mediators.
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