Hidden symmetries and the fermionic sector of eleven-dimensional supergravity

TL;DR

This paper explores the hidden symmetries in the fermionic sector of eleven-dimensional supergravity, proposing a model that links supergravity dynamics to E10/K(E10) coset structures, potentially informing a new understanding of M-theory.

Contribution

It introduces a consistent model of a massless spinning particle on an E10/K(E10) coset, connecting supergravity near singularities to E10 symmetry, suggesting a new approach to M-theory.

Findings

Mapped fermionic and bosonic supergravity dynamics to E10/K(E10) coset model

Proposed E10-invariant superparticle as a framework for M-theory

Indicated potential for describing space-time 'de-emergence' near singularities

Abstract

We study the hidden symmetries of the fermionic sector of D=11 supergravity, and the role of K(E10) as a generalised `R-symmetry'. We find a consistent model of a massless spinning particle on an E10/K(E10) coset manifold whose dynamics can be mapped onto the fermionic and bosonic dynamics of D=11 supergravity in the near space-like singularity limit. This E10-invariant superparticle dynamics might provide the basis of a new definition of M-theory, and might describe the `de-emergence' of space-time near a cosmological singularity.