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  Eleven dimensional supergravity and the E10/K(E10) sigma-model at low A9 levels

Damour, T., & Nicolai, H. (2005). Eleven dimensional supergravity and the E10/K(E10) sigma-model at low A9 levels. In Group Theoretical Methods in Physics: Proceedings of the XXV International Colloqium on Group Theoretical Methods in Physics, Cocoyoc, Mexico, 2-6 August, 2004 (pp. 93-112).

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4FED-1 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0024-84E0-9
Genre: Conference Paper

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0410245.pdf (Preprint), 159KB
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 Creators:
Damour, Thibault, Author
Nicolai, Hermann1, Author              
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: Recently, the concept of a nonlinear sigma-model over a coset space G/H was generalized to the case where the group G is an infinite-dimensional Kac-Moody group, and H its (formal) `maximal compact subgroup'. Here, we study in detail the one-dimensional (geodesic) $\s$-model with G = E10 and H=KE10. We re-examine the construction of this sigma-model and its relation to the bosonic sector of eleven-dimensional supergravity, up to height 30, by using a new formulation of the equations of motion. Specifically, we make systematic use of KE10-orthonormal local frames, in the sense that we decompose the `velocity' on E10/KE10 in terms of objects which are representations of the compact subgroup KE10. This new perspective may help in extending the correspondence between the E10/KE10 sigma-model and supergravity beyond the level currently checked.

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Language(s): eng - English
 Dates: 2005
 Publication Status: Published in print
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 Identifiers: eDoc: 205008
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Title: XXV International Colloquium on Group Theoretical Methods in Physics
Place of Event: Cocoyoc, Mexico
Start-/End Date: 2004-08-02 - 2004-08-06

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Title: Group Theoretical Methods in Physics: Proceedings of the XXV International Colloqium on Group Theoretical Methods in Physics, Cocoyoc, Mexico, 2-6 August, 2004
Source Genre: Proceedings
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Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 93 - 112 Identifier: -