caa a22 4500 467887314 CHVBK 20180406152738.0 cr unu---uuuuu 170328e20061001xx s 000 0 eng 10.1007/s10714-006-0317-y doi (NATIONALLICENCE)springer-10.1007/s10714-006-0317-y Curvature corrections and Kac-Moody compatibility conditions [Elektronische Daten] [Thibault Damour, Amihay Hanany, Marc Henneaux, Axel Kleinschmidt, Hermann Nicolai] 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. Springer Science+Business Media, Inc., 2006 Damour Thibault Institut des Hautes Etudes Scientifiques, 35, route de Chartres, 91440, Bures-sur-Yvette, France aut Hanany Amihay Center for Theoretical Physics, Massachusetts Institute of Technology, 02139-4307, Cambridge, MA, USA aut Henneaux Marc Université Libre de Bruxelles and International Solvay Institutes, ULB-Campus Plaine C.P. 23, Boulevard du Triomphe, 1050, Bruxelles, Belgium aut Kleinschmidt Axel Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Mühlenberg 1, 14476, Potsdam, Germany aut Nicolai Hermann Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Mühlenberg 1, 14476, Potsdam, Germany aut General Relativity and Gravitation Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 38/10(2006-10-01), 1507-1528 0001-7701 38:10<1507 2006 38 10714 https://doi.org/10.1007/s10714-006-0317-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-006-0317-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Damour Thibault Institut des Hautes Etudes Scientifiques, 35, route de Chartres, 91440, Bures-sur-Yvette, France aut NATIONALLICENCE 700 1- Hanany Amihay Center for Theoretical Physics, Massachusetts Institute of Technology, 02139-4307, Cambridge, MA, USA aut NATIONALLICENCE 700 1- Henneaux Marc Université Libre de Bruxelles and International Solvay Institutes, ULB-Campus Plaine C.P. 23, Boulevard du Triomphe, 1050, Bruxelles, Belgium aut NATIONALLICENCE 700 1- Kleinschmidt Axel Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Mühlenberg 1, 14476, Potsdam, Germany aut NATIONALLICENCE 700 1- Nicolai Hermann Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Mühlenberg 1, 14476, Potsdam, Germany aut NATIONALLICENCE 773 0- General Relativity and Gravitation Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 38/10(2006-10-01), 1507-1528 0001-7701 38:10<1507 2006 38 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer