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Journal of High Energy Physics Volume 2006 JHEP02(2006) Create an alert RSS this journal

Sophie de Buyl et al JHEP02(2006)056 doi:10.1088/1126-6708/2006/02/056

Extended E8 invariance of 11-dimensional supergravity

Sophie de Buyl1, Marc Henneaux1 and Louis Paulot1

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Abstract References Cited By
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.

Keywords

M-Theory

Supergravity Models

 

E-print Number: hep-th/0512292

Cited: by |

Refers: to

PACS

04.65.+e Supergravity

04.25.-g Approximation methods; equations of motion

11.25.Yb M theory

04.50.-h Higher-dimensional gravity and other theories of gravity

11.10.Lm Nonlinear or nonlocal theories and models

11.10.Jj Asymptotic problems and properties

MSC

83E50 Supergravity

81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, W-algebras and other current algebras and their representations (See also 17B65, 17B67, 22E65, 22E67, 22E70)

83C75 Space-time singularities, cosmic censorship, etc.

83C10 Equations of motion

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 02 (February 2006)

Received 23 December 2005, accepted for publication 7 February 2006

Published 21 February 2006



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