Testing No-Scale Supergravity with the Fermi Space Telescope LAT
  We describe a methodology for testing No-Scale Supergravity by the LAT
instrument onboard the Fermi Space Telescope via observation of gamma ray
emissions from lightest supersymmetric (SUSY) neutralino annihilations. For our
test vehicle we engage the framework of the supersymmetric grand unified model
No-Scale Flipped $SU(5)$ with extra vector-like flippon multiplets derived from
F-Theory, known as $\cal{F}$-$SU(5)$. We show that through compression of the
light stau and light bino neutralino mass difference, where internal
bremsstrahlung (IB) photons give a dominant contribution, the photon yield from
annihilation of SUSY dark matter can be elevated to a number of events
potentially observable by the Fermi-LAT in the coming years. Likewise, the
increased yield in No-Scale $\cal{F}$-$SU(5)$ may also have rendered the
existing observation of a 133 GeV monochromatic gamma ray line visible, if
additional data should exclude systematic or statistical explanations. The
question of intensity aside, No-Scale $\cal{F}$-$SU(5)$ can indeed provide a
natural weakly interacting massive particle (WIMP) candidate with a mass in the
correct range to yield $\gamma \gamma$ and $\gamma Z$ emission lines at
$m_{\chi} \sim 133$ GeV and $m_{\chi} \sim 145$ GeV, respectively.
Additionally, we elucidate the emerging empirical connection between recent
Planck satellite data and No-Scale Supergravity cosmological models which mimic
the Starobinsky model of inflation. Together, these experiments furnish rich
alternate avenues for testing No-Scale $\cal{F}$-$SU(5)$, and similarly
structured models, the results of which may lend independent credence to
observations made at the LHC.
