Kac-Moody algebras in gravity and M-theories

TL;DR

This paper reviews how gravity and M-theories can be formulated using very-extended Kac-Moody algebras, presenting exact solutions and discussing dualities rooted in algebraic structures.

Contribution

It introduces a Kac-Moody algebraic framework for gravity and M-theories, including exact intersecting brane solutions and their algebraic intersection rules.

Findings

Exact solutions for intersecting extremal branes are provided.

Intersection rules are encoded in the algebraic structure.

Dualities are explained through group theoretical origins.

Abstract

The formulation of gravity and M-theories as very-extended Kac-Moody invariant theories is reviewed. Exact solutions describing intersecting extremal brane configurations smeared in all directions but one are presented. The intersection rules characterising these solutions are neatly encoded in the algebra. The existence of dualities for all G+++ and their group theoretical-origin are discussed.