# Distributions of extremal black holes in Calabi-Yau compactifications

## TL;DR

This paper investigates the distribution and quantity of extremal black hole solutions in Calabi-Yau compactifications of string theory, using attractor mechanisms and mathematical tools to analyze their properties.

## Contribution

It applies Denef and Douglas's methods to analyze the distribution and count of extremal black holes in non-supersymmetric settings within Calabi-Yau compactifications.

## Key findings

- Distribution of attractor points on moduli space characterized
- Estimate of the number of black holes with given horizon area provided
- Insights into non-supersymmetric extremal black hole landscape obtained

## Abstract

We study non-supersymmetric extremal black hole excitations of 4d N=2 supersymmetric string vacua arising from compactification on Calabi-Yau threefolds. The values of the (vector multiplet) moduli at the black hole horizon are governed by the attractor mechanism. This raises natural questions, such as "what is the distribution of attractor points on moduli space?" and "how many attractor black holes are there with horizon area up to a certain size?" We employ tools developed by Denef and Douglas to answer these questions.