M-theory from its superalgebra

TL;DR

This paper investigates M-theory through its superalgebra, explaining how branes, dualities, and intersections are encoded algebraically, providing insights into the theory's fundamental structure.

Contribution

It offers a detailed analysis of how superalgebras encode branes, dualities, and intersections in M-theory, advancing understanding of its algebraic foundations.

Findings

Superalgebras encode duality relations between M-theory and type II superstring theories.

Brane intersections are represented within worldvolume superalgebras.

The structure of superalgebras reveals fundamental aspects of M-theory's framework.

Abstract

These lectures explore what can be learnt about M-theory from its superalgebra. The first three lectures introduce the 'basic' branes of M-theory, and type II superstring theories, and show how the duality relations between them are encoded in the respective spacetime superalgebras. The fourth lecture introduces brane intersections and explains how they are encoded in the worldvolume superalgebras.