E11 and Supersymmetry

TL;DR

This paper explores the integration of fermions into the E11 algebra framework and demonstrates that supersymmetry transformations in eleven-dimensional supergravity are consistent with E11 symmetries at low levels.

Contribution

It introduces fermions into the E11 non-linear realisation and shows their compatibility with supersymmetry transformations, indicating a consistent algebraic structure.

Findings

Fermions can be incorporated into E11 non-linear realisation.

Supersymmetry transformations are compatible with E11 at low levels.

The algebraic structure supports a unified symmetry framework.

Abstract

We introduce fermions into the E11 non-linear realisation. We show, at low levels, that the commutators of the Cartan involution invariant subalgebra of E11 with the known supersymmetry transformations of eleven dimensional supergravity lead to symmetries of the theory indicating the consistency of supersymmetry and E11.