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  K(E10), Supergravity and Fermions

Damour, T., Kleinschmidt, A., & Nicolai, H. (2006). K(E10), Supergravity and Fermions. Journal of High Energy Physics, 2006(8): 046. doi:10.1088/1126-6708/2006/08/046.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4C4B-5 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4C4E-0
Genre: Journal Article

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 Creators:
Damour, Thibault1, Author
Kleinschmidt, Axel2, Author              
Nicolai, Hermann1, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              
2Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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 Abstract: We study the fermionic extension of the E10/K(E10) coset model and its relation to eleven-dimensional supergravity. Finite-dimensional spinor representations of the compact subgroup K(E10) of E(10,R) are studied and the supergravity equations are rewritten using the resulting algebraic variables. The canonical bosonic and fermionic constraints are also analysed in this way, and the compatibility of supersymmetry with local K(E10) is investigated. We find that all structures involving A9 levels 0,1 and 2 nicely agree with expectations, and provide many non-trivial consistency checks of the existence of a supersymmetric extension of the E10/K(E10) coset model, as well as a new derivation of the `bosonic dictionary' between supergravity and coset variables. However, there are also definite discrepancies in some terms involving level 3, which suggest the need for an extension of the model to infinite-dimensional faithful representations of the fermionic degrees of freedom.

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 Dates: 2006
 Publication Status: Published in print
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 Identifiers: eDoc: 281811
DOI: 10.1088/1126-6708/2006/08/046
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Title: Journal of High Energy Physics
Source Genre: Journal
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Pages: - Volume / Issue: 2006 (8) Sequence Number: 046 Start / End Page: - Identifier: ISSN: 1126-6708