E_11 and M Theory

TL;DR

This paper proposes a novel formulation of eleven-dimensional supergravity using the non-linear realisation of the E_{11} group, incorporating duality between gravitational fields.

Contribution

It introduces a new E_{11}-based framework for eleven-dimensional supergravity, emphasizing duality and non-linear realisation.

Findings

Existence of a duality-based description of gravity.

Formulation of supergravity with two related gravitational fields.

Potential unification of supergravity and E_{11} symmetry.

Abstract

We argue that eleven dimensional supergravity can be described by a non-linear realisation based on the group E_{11}. This requires a formulation of eleven dimensional supergravity in which the gravitational degrees of freedom are described by two fields which are related by duality. We show the existence of such a description of gravity.