Quantum gravity equation in large N Yang-Mills quantum mechanics

TL;DR

This paper interprets the BFSS large N matrix quantum mechanics as a quantum gravity equation, viewing the Schrödinger equation as a Wheeler-DeWitt equation and providing explicit solutions in a simplified model.

Contribution

It introduces a novel interpretation of the BFSS model as a quantum gravity framework, connecting matrix quantum mechanics with the Wheeler-DeWitt equation.

Findings

Wave function solutions in a two-dimensional minisuperspace model

New perspective linking matrix models to quantum gravity

Explicit example demonstrating the interpretation

Abstract

We propose a new interpretation of the BFSS large N matrix quantum mechanics analogous to a novel interpretation of the IKKT matrix model where infinitely large N matrices act as differential operators in a curved space. In this picture, the Schr\"odinger equation in the BFSS model is regarded as the Wheeler-DeWitt equation which determines the wave function of universe. An explicit solution of wave function is studied in a simple two-dimensional minisuperspace model.