E11 and Supersymmetry

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.

10 pages, typos corrected and some more explanations given

References in corpus (13)

• E_11 and M Theory
• E10 and a "small tension expansion" of M Theory
• $E_{11}$, SL(32) and Central Charges
• The E_{11} origin of all maximal supergravities
• E(11) and the Embedding Tensor
• Hidden Superconformal Symmetry in M Theory
• Duality-Symmetric Eleven-Dimensional Supergravity and its Coupling to M-Branes
• A class of Lorentzian Kac-Moody algebras
• Hidden symmetries and the fermionic sector of eleven-dimensional supergravity
• Extended E8 Invariance of 11-Dimensional Supergravity
• E(11)-extended spacetime and gauged supergravities
• Hidden Symmetries and Dirac Fermions
• On the E10/Massive Type IIA Supergravity Correspondence

Cited by in corpus (10)

• Supergravity as Generalised Geometry II: $E_{d(d)}\times {\mathbb{R}}^{+}$ and M theory
• A master exceptional field theory
• On supersymmetric E11 exceptional field theory
• A brief review of E theory
• E11, Romans theory and higher level duality relations
• The massless irreducible representation in E theory and how bosons can appear as spinors
• Gauged Supergravities and the Physics of Extra Dimensions
• Generalised holonomies and K(E${}_9$)
• Unfolding $E_{11}$
• Aspects of electric-magnetic dualities in maximal supergravity