  We point out that a hypothesis of squarks and sleptons being Nambu-Goldstone
(NG) bosons is consistent with pure gravity mediation or minimal split
supersymmetry (SUSY). As a concrete example, we consider a SUSY $E_7/SU(5)
\times U(1)^3$ non-linear sigma model in the framework of pure gravity
mediation. The model accommodates three families of the quark and lepton chiral
multiplets as (pseudo) NG multiplets of the Kahler manifold, which may enable
us to understand the origin and number of the families. We point out that
squarks in the first and second generations are likely to be as light as a few
TeV if the observed baryon asymmetry is explained by the thermal leptogenesis;
therefore, these colored particles can be discovered at the LHC Run-2 or at the
high luminosity LHC.
