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  E10 and SO(9,9) invariant supergravity

Kleinschmidt, A., & Nicolai, H. (2004). E10 and SO(9,9) invariant supergravity. Journal of High Energy Physics, 2004(7): 041. doi:10.1088/1126-6708/2004/07/041.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-515A-F Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-515D-9
Genre: Journal Article

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 Creators:
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 show that (massive) D=10 type IIA supergravity possesses a hidden rigid SO(9,9) symmetry and a hidden local SO(9) x SO(9) symmetry upon dimensional reduction to one (time-like) dimension. We explicitly construct the associated locally supersymmetric Lagrangian in one dimension, and show that its bosonic sector, including the mass term, can be equivalently described by a truncation of an E10/K(E10) non-linear sigma-model to the level \ell<=2 sector in a decomposition of E10 under its so(9,9) subalgebra. This decomposition is presented up to level 10, and the even and odd level sectors are identified tentatively with the Neveu--Schwarz and Ramond sectors, respectively. Further truncation to the level \ell=0 sector yields a model related to the reduction of D=10 type I supergravity. The hyperbolic Kac--Moody algebra DE10, associated to the latter, is shown to be a proper subalgebra of E10, in accord with the embedding of type I into type IIA supergravity. The corresponding decomposition of DE10 under so(9,9) is presented up to level 5.

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Language(s): eng - English
 Dates: 2004
 Publication Status: Published in print
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 Identifiers: eDoc: 195029
DOI: 10.1088/1126-6708/2004/07/041
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Title: Journal of High Energy Physics
Source Genre: Journal
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Pages: - Volume / Issue: 2004 (7) Sequence Number: 041 Start / End Page: - Identifier: ISSN: 1126-6708