par De Buyl, Sophie ;Henneaux, Marc ;Paulot, Louis
Référence The Journal of high energy physics, 2, page (1-10), 056
Publication Publié, 2006
Article révisé par les pairs
Résumé : 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 E 8/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. © SISSA 2006.