# Black Hole Partition Function and Airy Equation

## TL;DR

This paper establishes a connection between black hole partition functions and topological string theory using the scaling limit of the topological string partition function.

## Contribution

It introduces a novel relation between black hole physics and topological string theory via the Airy equation.

## Key findings

- Derived a new relation between black hole and topological string partition functions.
- Utilized the Airy equation to connect the two partition functions.
- Provided insights into the mathematical structure underlying black hole entropy.

## Abstract

We have used the Topological String Theory partition function in the scaling limit, to relate the Black Hole partition function and Topological String Theory partition function.