General Relativity and Gravitation

, Volume 38, Issue 10, pp 1507–1528 | Cite as

Curvature corrections and Kac–Moody compatibility conditions

  • Thibault Damour
  • Amihay Hanany
  • Marc Henneaux
  • Axel KleinschmidtEmail author
  • Hermann Nicolai
Research Article


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.


Root Lattice Simple Root Quantum Correction Heterotic String Curvature Correction 
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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • Thibault Damour
    • 1
  • Amihay Hanany
    • 2
  • Marc Henneaux
    • 3
    • 4
  • Axel Kleinschmidt
    • 5
    Email author
  • Hermann Nicolai
    • 5
  1. 1.Institut des Hautes Etudes ScientifiquesBures-sur-YvetteFrance
  2. 2.Center for Theoretical PhysicsMassachusetts Institute of TechnologyCambridgeUSA
  3. 3.Université Libre de Bruxelles and International Solvay InstitutesBruxellesBelgium
  4. 4.Centro de Estudios Científicos (CECS)ValdiviaChile
  5. 5.Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)PotsdamGermany

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