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E10 and a Small Tension Expansion of M Theory

par Henneaux, Marc ;Damour, Thibault;Nicolai, Hermann
Référence Physical Review Letters, 89, 22
Publication Publié, 2002-07

Article révisé par les pairs

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Résumé :

A formal “small tension” expansion of [Formula presented] supergravity near a spacelike singularity is shown to be equivalent, at least up to 30th order in height, to a null geodesic motion in the infinite-dimensional coset space [Formula presented], where [Formula presented] is the maximal compact subgroup of the hyperbolic Kac-Moody group [Formula presented]. For the proof we make use of a novel decomposition of [Formula presented] into irreducible representations of its [Formula presented] subgroup. We explicitly show how to identify the first four rungs of the [Formula presented] coset fields with the values of geometric quantities constructed from [Formula presented] supergravity fields and their spatial gradients taken at some comoving spatial point. © 2002 The American Physical Society.