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  Curvature corrections and Kac-Moody compatibility conditions

Damour, T., Hanany, A., Henneaux, M., Kleinschmidt, A., & Nicolai, H. (2006). Curvature corrections and Kac-Moody compatibility conditions. General Relativity and Gravitation, 38(10), 1507-1528. doi:10.1007/s10714-006-0317-y.

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 Creators:
Damour, Thibault, Author
Hanany, Amihay, Author
Henneaux, Marc, Author
Kleinschmidt, Axel1, Author           
Nicolai, Hermann2, Author           
Affiliations:
1Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              
2Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 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.

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 Dates: 2006-10
 Publication Status: Issued
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 Identifiers: eDoc: 265081
DOI: 10.1007/s10714-006-0317-y
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Title: General Relativity and Gravitation
Source Genre: Journal
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Pages: - Volume / Issue: 38 (10) Sequence Number: - Start / End Page: 1507 - 1528 Identifier: ISSN: 1572-9532