Curvature corrections and Kac-Moody compatibility conditions
arXiv:hep-th/0604143 · doi:10.1007/s10714-006-0317-y
Abstract
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.
arXiv comment27 pages
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- Spacelike Singularities and Hidden Symmetries of Gravity
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- Duality Groups, Automorphic Forms and Higher Derivative Corrections
- Higher Derivative Supergravities in Diverse Dimensions
- Aspects of higher curvature terms and U-duality
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- Unifying R-symmetry in M-theory
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- Kac--Moody groups and automorphic forms in low dimensional supergravity theories