A Next-to-Minimal Supersymmetric Model of Hybrid Inflation

In this talk we discuss a model of inflation based on a simple variant of the NMSSM, called NMSSM [1], where the additional singlet plays the role of the inflaton in hybrid (or inverted hybrid) type models. As in the original NMSSM, the NMSSM solves the problem of the MSSM via the VEV of a gauge singlet N, but unlike the NMSSM does not suer from domain wall problems since the oending Z3 symmetry is replaced by an approximate Peccei-Quinn symmetry which also solves the strong CP problem, and leads to an invisible axion with interesting cosmological consequences. The model predicts a spectral index n = 1 to one part in 10$^{12}$.