Extended E8 Invariance of 11-Dimensional Supergravity

Abstract

The hyperbolic Kac-Moody algebra E10 has repeatedly been suggested to play a crucial role in the symmetry structure of M-theory. Recently, following the analysis of the asymptotic behaviour of the supergravity fields near a cosmological singularity, this question has received a new impulse. It has been argued that one way to exhibit the symmetry was to rewrite the supergravity equations as the equations of motion of the non-linear sigma model E10/K(E10). This attempt, in line with the established result that the scalar fields which appear in the toroidal compactification down to three spacetime dimensions form the coset E8/SO(16), was verified for the first bosonic levels in a level expansion of the theory. We show that the same features remain valid when one includes the gravitino field

9 pages

References in corpus (18)

• New features of FORM
• E_11 and M Theory
• E10 and a "small tension expansion" of M Theory
• $E_{11}$, SL(32) and Central Charges
• Chaos in Superstring Cosmology
• E_(10), BE_(10) and Arithmetical Chaos in Superstring Cosmology
• The Symmetry of M-Theories
• G+++ Invariant Formulation of Gravity and M-Theories: Exact BPS Solutions
• Hidden symmetries and the fermionic sector of eleven-dimensional supergravity
• Higher order M theory corrections and the Kac-Moody algebra E10
• M-theory and E10: Billiards, Branes, and Imaginary Roots
• E_{10} Symmetry in One-dimensional Supergravity
• Hyperbolic billiards of pure D=4 supergravities
• Hidden Symmetries and Dirac Fermions
• The topology of U-duality (sub-)groups
• Cosmic Billiards with Painted Walls in Non-Maximal Supergravities: a worked out example
• The structure of E10 at higher A9 levels - a first algorithmic approach
• U-duality (sub-)groups and their topology

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