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.
(ii) An element a [member of] NQR is called nilpotent if there exists n [member of] [Z.sup.+] such that [a.sup.n] = 0.
In the algebra of split octonions two types of primitive zero divisors, idempotent elements (projection operators) and nilpotent elements (Grassmann numbers), can be constructed [1,10].
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.
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