Distribution of Flux Vacua around Singular Points in Calabi-Yau Moduli Space

TL;DR

This paper investigates how flux vacua are distributed near singular points in Calabi-Yau moduli space, finding the density remains integrable regardless of singularity type, with detailed analysis of an Argyres-Douglas point.

Contribution

It provides the first detailed analysis of flux vacuum distribution near various singularities in Calabi-Yau moduli space, including explicit examples.

Findings

Vacuum density is integrable around singular points.

Distribution behavior is consistent across different singularity types.

Explicit example of an Argyres-Douglas point analyzed.

Abstract

We study the distribution of type IIB flux vacua in the moduli space near various singular loci, e.g. conifolds, ADE singularities on P1, Argyres-Douglas point etc, using the Ashok- Douglas density det(R + omega). We find that the vacuum density is integrable around each of them, irrespective of the type of the singularities. We study in detail an explicit example of an Argyres-Douglas point embedded in a compact Calabi-Yau manifold.