  Using the (nearly) Ricci-flat Swiss-Cheese metric of [1], in the context of a
mobile space-time filling D3-brane restricted to a nearly special Lagrangian
sub-manifold (in the large volume limit, the pull-back of the Kaehler form
close to zero and the real part of the pull-back of e^{-i theta},theta=pi/2
times the nowhere-vanishing holomorphic three-form providing the volume form on
the three-cycle) of the "big" divisor with (fluxed stacks of) space-time
filling D7-branes also wrapping the "big" divisor (corresponding to a local
minimum), we provide an explicit identification of the electron and the
u-quark, as well as their SU(2)_L-singlet cousins, with fermionic
super-partners of four Wilson line moduli; their superpartners turn out to be
very heavy, the Higgsino-mass parameter turns out to be large, one obtains one
light (with a mass of 125 GeV) and one heavy Higgs and the gluino is long lived
(from a collider point of view) providing a possible realization of "mu-Split
Supersymmetry". By explicitly calculating the lifetimes of decays of the
co-NLSPs - the first generation squark/slepton and a neutralino - to the LSP -
the gravitino - as well as gravitino decays, we verify that BBN constraints
relevant to the former as well as the requirement of the latter to be (more
than) the age of the universe, are satisfied. For the purpose of calculation of
the gravitino relic abundance in terms of the neutralino/slepton relic
abundance, we evaluate the latter by evaluating the netralino/slepton
(co-)annihilation cross sections and hence show that the former satisfies the
requirement for a Dark Matter candidate.
