Eleven dimensional supergravity and the E10/KE10 sigma-model at low A9 levels

Abstract

Recently, the concept of a nonlinear sigma-model over a coset space G/H was generalized to the case where the group G is an infinite-dimensional Kac-Moody group, and H its (formal) `maximal compact subgroup'. Here, we study in detail the one-dimensional (geodesic) sigma-model with G = E10 and H=KE10. We re-examine the construction of this sigma-model and its relation to the bosonic sector of eleven-dimensional supergravity, up to height 30, by using a new formulation of the equations of motion. Specifically, we make systematic use of KE10-orthonormal local frames, in the sense that we decompose the `velocity' on E10/KE10 in terms of objects which are representations of the compact subgroup KE10. This new perspective may help in extending the correspondence between the E10/KE10 sigma-model and supergravity beyond the level currently checked.

arXiv commentMinor corrections; version to appear in the Proceedings of the XXV International Colloquium on Group Theoretical Methods in Physics, 2-6 August 2004, Cocoyoc, Mexico

Cited by in corpus (10)

• Spacelike Singularities and Hidden Symmetries of Gravity
• Kac-Moody Spectrum of (Half-)Maximal Supergravities
• IIB supergravity and E10
• Gradient Representations and Affine Structures in AE(n)
• Geometric Configurations, Regular Subalgebras of E10 and M-Theory Cosmology
• A Note on E11 and Three-dimensional Gauged Supergravity
• E10 and Gauged Maximal Supergravity
• Dualities and signatures of G++ invariant theories
• The structure of E10 at higher A9 levels - a first algorithmic approach
• Gravitational Billiards, Dualities and Hidden Symmetries