Kac-Moody Symmetries of IIB Supergravity

TL;DR

This paper explores the algebraic structure of IIB supergravity, demonstrating its connection to Kac-Moody algebras, particularly E11, which may unify various symmetries in string theory.

Contribution

It formulates IIB supergravity as a non-linear realisation incorporating Kac-Moody algebra E11, suggesting an extended symmetry framework.

Findings

Contains Borel subalgebras of SL(11) and E7

Proposes E11 as an underlying symmetry algebra

Links supergravity to infinite-dimensional Kac-Moody structures

Abstract

We formulate the bosonic sector of IIB supergravity as a non-linear realisation. We show that this non-linear realisation contains the Borel subalgebras of SL(11) and $E_7$ and argue that it can be enlarged so as to be based on the rank eleven Kac-Moody algebra $E_{11}$