Curvature corrections and Kac-Moody compatibility conditions

Details Curvature corrections and Kac-Moody compatibility conditions Curvature corrections and Kac-Moody compatibility conditions

2006-04-20

arxiv.org/abs/hep-th/0604143v1

Gen.Rel.Grav.38:1507-1528,2006

Physics

High Energy Physics

High Energy Physics - Theory

27 pages

Scientific paper

10.1007/s10714-006-0317-y

We study possible restrictions on the structure of curvature corrections to gravitational theories in the context of their corresponding Kac--Moody algebras, following the initial work on E10 in Class. Quant. Grav. 22 (2005) 2849. We first emphasize that the leading quantum corrections of M-theory can be naturally interpreted in terms of (non-gravity) fundamental weights of E10. We then heuristically explore the extent to which this remark can be generalized to all over-extended algebras by determining which curvature corrections are compatible with their weight structure, and by comparing these curvature terms with known results on the quantum corrections for the corresponding gravitational theories.

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