Random Field Theories in The Mirror Quintic Moduli Space

TL;DR

This paper studies the distribution of scalar potentials in flux vacua from type IIB string theory on the mirror quintic, revealing that their coefficients differ from random models, with implications for string landscape analysis.

Contribution

It provides a numerical analysis of the distribution of Taylor coefficients in scalar potentials derived from flux vacua, highlighting deviations from random coefficient models.

Findings

Coefficients differ significantly from flat-measure random models.

Distribution patterns depend on the specific flux configurations.

Results inform understanding of the string theory landscape and vacuum structure.

Abstract

We investigate the distribution of field theories that arise from the low energy limit of flux vacua built on type IIB string theory compactified on the mirror quintic. For a large collection of these models, we numerically determine the distribution of Taylor coefficients in a polynomial expansion of each model's scalar potential to fourth order, and show that they differ significantly from potentials generated by random choices of such coefficients over a flat measure.