Hidden symmetries and the fermionic sector of eleven-dimensional supergravity

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.

arXiv comment15 pages, v2: updated references and typos corrected, v3: updated references and minor corrections

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• E10 and SO(9,9) invariant supergravity
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• Massive IIA Supergravity as a Non-linear Realisation
• IIB supergravity and E10
• Hidden Symmetries and Dirac Fermions
• Brane Rotating Symmetries and the Fivebrane Equations of Motion
• From very-extended to overextended gravity and M-theories
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Cited by in corpus (54)

• Spacelike Singularities and Hidden Symmetries of Gravity
• Extended E8 Invariance of 11-Dimensional Supergravity
• Supersymmetric quantum cosmological billiards
• K(E10), Supergravity and Fermions
• Supergravity as Generalised Geometry II: $E_{d(d)}\times {\mathbb{R}}^{+}$ and M theory
• Generalised geometry from the ground up
• Symmetries,Singularities and the De-Emergence of Space
• A master exceptional field theory
• On supersymmetric E11 exceptional field theory
• Supersymmetric Domain Walls
• Quantum Supersymmetric Bianchi IX Cosmology
• Higher Derivative Supergravities in Diverse Dimensions
• Constraints and the E10 Coset Model
• IIA and IIB spinors from K(E10)
• On the E10/Massive Type IIA Supergravity Correspondence
• Planck Mass Charged Gravitino Dark Matter
• K(E9) from K(E10)
• Quantum Supersymmetric Cosmology and its Hidden Kac-Moody Structure
• Fermionic Kac-Moody Billiards and Supergravity
• E_{11} and Higher Spin Theories
• Standard Model Fermions and Infinite-Dimensional R-Symmetries
• E10 and Gauged Maximal Supergravity
• E11, Romans theory and higher level duality relations
• On higher spin realizations of K(E10)
• Quantum Einstein-Dirac Bianchi Universes
• E11 and Supersymmetry
• Exceptional versus superPoincaré algebra as the defining symmetry of maximal supergravity
• Representations of involutory subalgebras of affine Kac-Moody algebras
• Arithmetic and Hyperbolic Structures in String Theory
• Pure type I supergravity and DE(10)
• Canonical structure of the E10 model and supersymmetry
• Kac-Moody Algebras in M-theory
• Generalized spin representations
• The E10 Wheeler-DeWitt operator at low levels
• Quantum Supersymmetric Cosmological Billiards and their Hidden Kac-Moody Structure
• The massless irreducible representation in E theory and how bosons can appear as spinors
• On the underlying E11 symmetry of the D=11 Free Differential Algebra
• Gravity as the square of Yang-Mills: implications for N=8 Supergravity
• Complexity and the Big Bang
• Infinite-Dimensional Gauge Structure of d=2 N=16 Supergravity
• Exceptional Lie algebras and M-theory
• Generalised holonomies and K(E${}_9$)
• Unfolding $E_{11}$
• Unifying R-symmetry in M-theory
• Aspects of electric-magnetic dualities in maximal supergravity
• Extending generalized spin representations
• A note on gauge fixing in supergravity/Kac-Moody correspondences
• Massive Type IIA Supergravity and E10
• Generalized spin representations. Part 2: Cartan-Bott periodicity for the split real En series
• Chaos and Symmetry in String Cosmology
• Orthogonal forms of Kac--Moody groups are acylindrically hyperbolic
• Spin Structures of Kac-Moody Type
• Quasi-Clifford algebras, Quadratic forms over ${\mathbb{F}}_2$, and Lie Algebras
• Hidden Kac-Moody Structures in the Fermionic Sector of Five-Dimensional Supergravity