# Supersymmetric Majoron Inflation

## TL;DR

This paper introduces a supersymmetric Majoron inflation model where the Majoron field drives low-scale hilltop inflation, generates right-handed neutrino masses, and avoids domain wall issues, aligning with observational constraints.

## Contribution

It presents a novel supersymmetric Majoron inflation framework that links neutrino mass generation with inflation and addresses domain wall problems.

## Key findings

- Achieves successful spectral index with small running and tensor modes.
- Generates a wide range of right-handed neutrino masses compatible with cosmological constraints.
- Avoids domain wall problems through discrete lepton number breaking.

## 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.