Einstein gravity from a matrix integral -- Part II

TL;DR

This paper uses supersymmetric localization to analyze the polarized IKKT matrix model, revealing differences from the original model and connecting results to the gravity dual via electrostatic problems.

Contribution

It demonstrates how localization techniques can be applied to the polarized IKKT model and uncovers differences from the original model in certain limits.

Findings

Original and polarized IKKT models differ at zero mass deformation.

Localization results recover the electrostatic problem related to the gravity dual.

Partition functions and protected correlators are computed explicitly.

Abstract

Using supersymmetric localization, we compute the partition function and some protected correlators of the polarized IKKT matrix model. Surprisingly, we find that the original IKKT model is different from polarized IKKT in the limit of vanishing mass deformation. We study different regimes of the localization results and recover the electrostatic problem which defines the gravity dual.