# Non-Perturbative String Theory from AdS/CFT

## TL;DR

This paper explores non-perturbative aspects of string theory via AdS/CFT by analyzing giant graviton correlators, revealing their Borel summability and Stokes phenomena through a novel hypergeometric function approach.

## Contribution

It introduces a method to analyze large N correlators with giant gravitons using hypergeometric functions, connecting the expansion to a semi-classical Schrödinger equation.

## Key findings

- The 1/N expansion is Borel summable.
- Correlators exhibit a parametric Stokes phenomenon.
- The approach links correlator expansions to semi-classical quantum mechanics.

## Abstract

The large $N$ expansion of giant graviton correlators is considered. Giant gravitons are described using operators with a bare dimension of order $N$. In this case the usual $1/N$ expansion is not applicable and there are contributions to the correlator that are non-perturbative in character. By writing the (square of the) correlators in terms of the hypergeometric function ${}_2F_1(a,b;c;1)$, we are able to rephrase the $1/N$ expansion of the correlator as a semi-classical expansion for a Schr\"odinger equation. In this way we are able to argue that the $1/N$ expansion of the correlator is Borel summable and that it exhibits a parametric Stokes phenomenon as the angular momentum of the giant graviton is varied.