Swiss-Cheese Gravitino Dark Matter

We present a phenomenological model which we show can be obtained as a local realization of large volume D3/D7μ-Split SUSY on a nearly special Lagrangian three-cycle embedded in the big divisor of a Swiss-Cheese Calabi-Yau [Mansi Dhuria, Aalok Misra, arXiv:1207.2774 [hep-ph], Nucl. Phys. B867 (2013) 636–748]. After identification of the first generation of SM leptons and quarks with fermionic super-partners of four Wilson line moduli, we discuss the identification of gravitino as a potential dark matter candidate. We also show that it is possible to obtain a 125 GeV light Higgs in our setup.