On the existence of the NS5-brane limit of the plane wave matrix model

TL;DR

This paper investigates a specific double scaling limit of the plane wave matrix model that leads to NS5-brane geometries, confirming its existence analytically and numerically, and exploring quantum corrections beyond the planar approximation.

Contribution

It identifies and analyzes a double scaling limit of PWMM that results in NS5-brane solutions, providing both analytical and numerical evidence for its existence.

Findings

The double scaling limit reduces the geometry to NS5-brane solutions.

The limit exists in a certain 1/4-BPS sector of PWMM.

Numerical results suggest the limit extends beyond the planar sector.

Abstract

We consider a double scaling limit of the plane wave matrix model (PWMM), in which the gravity dual geometry of PWMM reduces to a class of spherical NS5-brane solutions. We identify the form of the scaling limit for the dual geometry of PWMM around a general vacuum and then translate the limit into the field theoretic language. We also show that the limit indeed exists at least in a certain planar 1/4-BPS sector of PWMM by using the localization computation analytically. In addition, we employ the hybrid Monte Carlo method to compute the matrix integral obtained by the localization method, near the parameter region where the supergravity approximation is valid. Our numerical results, which are considered to be the first computation of quantum loop correction to the Lin-Maldacena geometry, suggest that the double scaling limit exists beyond the planar sector.