  Large-field inflation is an interesting and predictive scenario. Its
non-trivial embedding in supergravity was intensively studied in the recent
literature, whereas its interplay with supersymmetry breaking has been less
thoroughly investigated. We consider the minimal viable model of chaotic
inflation in supergravity containing a stabilizer field, and add a Polonyi
field. Furthermore, we study two possible extensions of the minimal setup. We
show that there are various constraints: first of all, it is very hard to
couple an O'Raifeartaigh sector with the inflaton sector, the simplest viable
option being to couple them only through gravity. Second, even in the simplest
model the gravitino mass is bounded from above parametrically by the inflaton
mass. Therefore, high-scale supersymmetry breaking is hard to implement in a
chaotic inflation setup. As a separate comment we analyze the simplest chaotic
inflation construction without a stabilizer field, together with a
supersymmetrically stabilized Kahler modulus. Without a modulus, the potential
of such a model is unbounded from below. We show that a heavy modulus cannot
solve this problem.
