A new two-faced scalar solution and cosmological SUSY breaking
  We propose a possible new way to resolve the long standing problem of strong
supersymmetry breaking coexisting with a small cosmological constant. We
consider a scalar component of a minimally coupled N=1 supermultiplet in a
general Friedmann-Robertson-Walker (FRW) expanding universe. We argue that a
tiny term, proportional to H^2 ~ 10^(-122) in Plank's units, appearing in the
field equations due to this expansion will provide both, the small vacuum
energy and the heavy mass of the scalar supersymmetric partner. We present a
non-perturbative solution for the scalar field with an unusual dual-frequency
behavior. This solution has two characteristic mass scales related to the
Hubble parameter as H^(1/4) and H^(1/2) measured in Plank's units.
