Universality in the Axiverse

TL;DR

This paper investigates the distribution of divisor volumes in Calabi-Yau threefolds, revealing universal patterns that influence axion physics and enabling efficient approximation of axion observables.

Contribution

It demonstrates the universality of divisor volume distributions in the Calabi-Yau landscape and introduces a simple model to predict axion properties.

Findings

Universal patterns in divisor volume distributions.

Efficient approximation of axion observables.

Reproduction of axion mass and decay constant results.

Abstract

Studies of axion effective theories in the type IIB Calabi-Yau landscape have revealed that hierarchies in cycle volumes drive correlations between axion physics and the number of axions in a given model. We analyze distributions of divisor volumes in toric hypersurface Calabi-Yau threefolds, and provide evidence that aspects of these distributions are universal across this landscape. Furthermore, we show that axion observables in this landscape can be approximated efficiently in terms of only divisor volumes. Finally, we propose a simple model for the spectrum of divisor volumes and use this model to reproduce results on axion masses and decay constants across the Kreuzer-Skarke axiverse.