# Resurgence of one-point functions in a matrix model for 2D type IIA superstrings

## TL;DR

This paper explores the resurgence structure of one-point functions in a matrix model related to 2D type IIA superstrings, revealing how ambiguities cancel between different instanton sectors and emphasizing the importance of contour choices.

## Contribution

It demonstrates the cancellation of resurgence ambiguities in one-point functions of a matrix model for 2D superstrings, advancing understanding of non-perturbative effects.

## Key findings

- Resurgence cancellations occur between zero- and one-instanton sectors.
- Ambiguities in trans-series are systematically computed and shown to cancel.
- Contour choices are crucial for the resurgence analysis to hold.

## Abstract

In the previous papers, the authors pointed out correspondence between a supersymmetric double-well matrix model and two-dimensional type IIA superstring theory on a Ramond-Ramond background. This was confirmed by agreement between planar correlation functions in the matrix model and tree-level amplitudes in the superstring theory. Furthermore, in the matrix model we computed one-point functions of single-trace operators to all orders of genus expansion in its double scaling limit, and found that the large-order behavior of this expansion is stringy and not Borel summable. In this paper, we discuss resurgence structure of these one-point functions and see cancellations of ambiguities in their trans-series. More precisely, we compute both series of ambiguities arising in a zero-instanton sector and in a one-instanton sector, and confirm how they cancel each other. In case that the original integration contour is a finite interval not passing through a saddle point, we have to choose an appropriate integration path in order for resurgence to work.