New Connections Between 4D and 5D Black Holes

TL;DR

This paper proposes a novel equality linking 4D and 5D black hole partition functions, revealing a deep connection between different dimensional theories and topological string partition functions.

Contribution

It introduces a simple equality between 4D IIA Calabi-Yau black hole and 5D spinning M-theory black hole partition functions, establishing new relations with topological strings.

Findings

Equality between 4D and 5D black hole partition functions

Relation between 5D BPS black hole partition function and topological string

Insights into dimensional connections in black hole physics

Abstract

A simple equality is proposed between the BPS partition function of a general 4D IIA Calabi-Yau black hole and that of a 5D spinning M-theory Calabi-Yau black hole. Combining with recent results then leads to a new relation between the 5D spinning BPS black hole partition function and the square of the N=2 topological string partition function.