Linearized supergravity from Matrix theory

TL;DR

This paper demonstrates that the one-loop Matrix theory potential accurately reproduces the linearized supergravity potential between two objects, revealing insights into the correspondence between Matrix theory and supergravity.

Contribution

It establishes a detailed match between Matrix theory calculations and supergravity potentials, including moments of stress tensors and membrane currents, and discusses violations of the equivalence principle at finite N.

Findings

Matrix theory reproduces supergravity potential to all orders in 1/r

Identification of stress tensor and membrane current in Matrix theory

Finite-N Matrix theory violates the equivalence principle

Abstract

We show that the linearized supergravity potential between two objects arising from the exchange of quanta with zero longitudinal momentum is reproduced to all orders in 1/r by terms in the one-loop Matrix theory potential. The essential ingredient in the proof is the identification of the Matrix theory quantities corresponding to moments of the stress tensor and membrane current. We also point out that finite-N Matrix theory violates the equivalence principle.