Inflation in large N limit of supersymmetric gauge theories

TL;DR

This paper presents a supersymmetric gauge theory model where inflation is driven by multi-flat directions, allowing sub-Planckian inflation with predictions closer to scale invariance at large N, requiring N~600.

Contribution

It introduces a gauge-invariant polynomial-based inflaton sector in supersymmetric theories, demonstrating how multi-flat directions can enable sub-Planckian inflation.

Findings

Inflation driven by multi-flat directions in supersymmetric gauge theories.

Spectral index approaches scale invariance for large N.

Successful cosmology requires N approximately 600.

Abstract

Within supersymmetry we provide an example where the inflaton sector is derived from a gauge invariant polynomial of SU(N) or SO(N) gauge theory. Inflation in our model is driven by multi-flat directions, which assist accelerated expansion. We show that multi-flat directions can flatten the individual non-renormalizable potentials such that inflation can occur at sub-Planckian scales. We calculate the density perturbations and the spectral index, we find that the spectral index is closer to scale invariance for large N. In order to realize a successful cosmology we require large N of order, N~600.