Supersymmetric Majoron Inflation

Abstract

We propose supersymmetric Majoron inflation in which the Majoron field $\Phi$ responsible for generating right-handed neutrino masses may also be suitable for giving low scale "hilltop" inflation, with a discrete lepton number $Z_N$ spontaneously broken at the end of inflation, while avoiding the domain wall problem. In the framework of non-minimal supergravity, we show that a successful spectral index can result with small running together with small tensor modes. We show that a range of heaviest right-handed neutrino masses can be generated, $m_N\sim 10^1-10^{16}$ GeV, consistent with the constraints from reheating and domain walls.

27 pages, 3 figures

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• Spontaneous Breaking of Lepton Number and Cosmological Domain Wall Problem
• QCD Axion Window and False Vacuum Higgs Inflation
• The Spectrum of Dark Radiation as a Probe of Reheating
• The Inflaton Portal to Dark Matter
• Non-thermal Leptogenesis after Majoron Hilltop Inflation
• Hidden Photon and Axion Dark Matter from Symmetry Breaking