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- Title
Curvature corrections and Kac–Moody compatibility conditions.
- Authors
Thibault Damour; Amihay Hanany; Marc Henneaux; Axel Kleinschmidt; Hermann Nicolai
- Abstract
<span class="AbstractHeading">Abstract </span>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 E 10 in Damour and Nicolai [Class Quant Grav 22:2849 (2005)]. We first emphasize that the leading quantum corrections of M-theory can be naturally interpreted in terms of (non-gravity) fundamental weights of E 10. 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.
- Subjects
MATHEMATICAL analysis; CALCULUS; EQUATIONS; ASTRONOMY
- Publication
General Relativity & Gravitation, 2006, Vol 38, Issue 10, p1507
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-006-0317-y