Model Building with Non-Compact Cosets

TL;DR

This paper investigates scalar potentials arising from non-compact cosets, identifying conditions for their compactness at large fields, and applies these findings to models like inflation consistent with observations.

Contribution

It introduces a geometric method to construct scalar potentials from non-compact cosets and demonstrates their application in inflationary models.

Findings

Identified conditions for potential compactness in large field limits

Constructed an inflation model based on non-compact cosets

Predictions align with current observational data

Abstract

We explore Goldstone boson potentials in non-compact cosets of the form SO(n,1)/SO(n). We employ a geometric approach to find the scalar potential, and focus on the conditions under which it is compact in the large field limit. We show that such a potential is found for a specific misalignment of the vacuum. This result has applications in different contexts, such as in Composite Higgs scenarios and theories for the Early Universe. We work out an example of inflation based on a non-compact coset which makes predictions which are consistent with the current observational data.