Multi-instantons in minimal string theory and in matrix integrals

TL;DR

This paper calculates multi-instanton contributions to minimal string theory and matrix integrals, demonstrating their equivalence and providing a unified understanding of these non-perturbative effects.

Contribution

It presents the first explicit computation of multi-instanton effects in minimal string theory and their matching with matrix integral results.

Findings

Multi-instanton contributions are explicitly computed.

Results show perfect agreement between string theory and matrix integrals.

Provides insights into non-perturbative phenomena in minimal string models.

Abstract

We compute the normalization of the general multi-instanton contribution to the partition function of $(p',p)$ minimal string theory and also to the dual two-matrix integral. We find perfect agreement between the two results.