Inflation and type III seesaw mechanism in $\nu$-gauge mediated
  supersymmetry breaking
  We discuss realization of cosmic inflation in the $\nu$-gauge mediated
supersymmetry breaking scenario, in which a set of 24-dimensional chiral
superfields responsible for the type III seesaw mechanism play the role of the
messenger fields in gauge mediation. Using the data from neutrino oscillations,
we show that the model satisfies constraints from the lepton flavor violation,
perturbativity of the unified gauge couplings, the observed abundance of dark
matter as well as the Higgs mass of 125.1 GeV. The predicted spectrum of the
cosmic microwave background radiation fits well with the observation. We also
comment on the falsifiability of this scenario by future experiments.
