Localization of the BFSS matrix model and three-point amplitude in M-theory

TL;DR

This paper uses localization techniques to compute the partition function of the BFSS matrix model under specific boundary conditions related to M-theory scattering, successfully reproducing the expected three-point graviton amplitude.

Contribution

It applies localization to the BFSS matrix model for a boundary condition linked to M-theory scattering, providing exact results for the three-point amplitude.

Findings

Partition function computed exactly using localization.

Results match the expected momentum dependence.

Validates the use of localization in M-theory contexts.

Abstract

We apply the localization method to the BFSS matrix model with a particular class of boundary conditions, that is related to a scattering problem of 11-dimensional M-theory. For the boundary condition that corresponds to the three-point amplitude of gravitons, we exactly compute the partition function of the model based on the localization method. We find that the result correctly reproduces the expected momentum dependence of the three point amplitude.