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  Higher spin gauge fields and extended Kac-Moody symmetries

Henneaux, M., Kleinschmidt, A., & Nicolai, H. (2012). Higher spin gauge fields and extended Kac-Moody symmetries. General Relativity and Gravitation, 44, 1787 -1834. doi:10.1007/s10714-012-1369-9.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-30CE-D Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-30D0-5
Genre: Journal Article

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1110.4460 (Preprint), 461KB
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 Creators:
Henneaux, Marc, Author
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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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: We consider the relation between higher spin gauge fields and real Kac-Moody Lie algebras. These algebras are obtained by double and triple extensions of real forms g_0 of the finite-dimensional simple algebras g arising in dimensional reductions of gravity and supergravity theories. Besides providing an exhaustive list of all such algebras, together with their associated involutions and restricted root diagrams, we are able to prove general properties of their spectrum of generators w.r.t. a decomposition of the triple extension of g_0 under its gravity subalgebra gl(D,R). These results are then combined with known consistent models of higher spin gauge theory to prove that all but finitely many generators correspond to non-propagating fields and there are no higher spin fields contained in the Kac-Moody algebra.

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 Dates: 2011-10-202012
 Publication Status: Published in print
 Pages: 1+60 pages, many figures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1110.4460
DOI: 10.1007/s10714-012-1369-9
 Degree: -

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Title: General Relativity and Gravitation
Source Genre: Journal
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Publ. Info: Dordrecht, etc. : Kluwer Academic Publishers [etc.]
Pages: - Volume / Issue: 44 Sequence Number: - Start / End Page: 1787 - 1834 Identifier: ISSN: 0001-7701
CoNE: /journals/resource/954925263179