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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 $ϕ$NMSSM \cite{phiNMSSM}, where the additional singlet $ϕ$ plays the role of the inflaton in hybrid (or inverted hybrid) type models. As in the original NMSSM, the $ϕ$NMSSM solves the $μ$ problem of the MSSM via the VEV of a gauge singlet $N$, but unlike the NMSSM does not suffer from domain wall problems since the offending $Z_3$ 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 $10^{12}$.