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
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Cite
@article{arxiv.hep-th/0512292,
title = {Extended E8 Invariance of 11-Dimensional Supergravity},
author = {S. de Buyl and M. Henneaux and L. Paulot},
journal= {arXiv preprint arXiv:hep-th/0512292},
year = {2009}
}
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9 pages