M(atrix) Theory : a Pedagogical Introduction

TL;DR

This paper provides a clear, educational overview of the matrix model of M-theory, explaining its foundations, relation to supergravity, and the BFSS conjecture, aimed at readers seeking a pedagogical introduction.

Contribution

It offers a comprehensive, accessible explanation of the matrix model of M-theory and the BFSS conjecture, emphasizing pedagogical clarity over recent developments.

Findings

Clarifies the emergence of the matrix model from D-branes

Explains the connection between M-theory and superstring theory

Details the evidence supporting the BFSS conjecture

Abstract

I attempt to give a pedagogical introduction to the matrix model of M-theory as developed by Banks, Fischler, Shenker and Susskind (BFSS). In the first lecture, I introduce and review the relevant aspects of D-branes with the emergence of the matrix model action. The second lecture deals with the appearance of eleven-dimensional supergravity and M-theory in strongly coupled type IIA superstring theory. The third lecture combines the material of the two previous ones to arrive at the BFSS conjecture and explains the evidence presented by these authors. The emphasis is not on most recent developments but on a hopefully pedagogical presentation.