Cosmology with orthogonal nilpotent superfields
  We study the application of a supersymmetric model with two constrained
supermultiplets to inflationary cosmology. The first superfield S is a
stabilizer chiral superfield satisfying a nilpotency condition of degree 2,
S^2=0. The second superfield Phi is the inflaton chiral superfield, which can
be combined into a real superfield B=(Phi-Phi*)/2i. The real superfield B is
orthogonal to S, S B=0, and satisfies a nilpotency condition of degree 3,
B^3=0. We show that these constraints remove from the spectrum the complex
scalar sgoldstino, the real scalar inflaton partner (i.e. the "sinflaton"), and
the fermionic inflatino. The corresponding supergravity model with de Sitter
vacua describes a graviton, a massive gravitino, and one real scalar inflaton,
with both the goldstino and inflatino being absent in unitary gauge. We also
discuss relaxed superfield constraints where S^2=0 and S Phi* is chiral, which
removes the sgoldstino and inflatino, but leaves the sinflaton in the spectrum.
The cosmological model building in both of these inflatino-less models offers
some advantages over existing constructions.
