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  Higher spin representations of K(E10)

Kleinschmidt, A., & Nicolai, H. (2017). Higher spin representations of K(E10). In Higher Spin Gauge Theories (pp. 25-38). London u.a.: World Scientific.

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1602.04116.pdf (Preprint), 167KB
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 Urheber:
Kleinschmidt, Axel1, Autor           
Nicolai, Hermann2, Autor           
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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Schlagwörter: High Energy Physics - Theory, hep-th
 Zusammenfassung: We review the recently constructed non-trivial fermionic representations of
the infinite-dimensional subalgebra K(E10) of the hyperbolic Kac--Moody algebra
E10. These representations are all unfaithful (and more specifically, of finite
dimension). In addition we present their decompositions under the various
finite-dimensional subgroups associated with some maximal supergravities in
dimensions D<=11, and the projectors for `spin-7/2' which have not been given
before. Those representations that have not been derived from supergravity
still have to find a role and a proper physical interpretation in the
conjectured correspondence between E10 and M-theory. Nevertheless, they provide
novel mathematical structures that could shed some light on fundamental
questions in supergravity and on the possible role of K(E10) as an `R-symmetry'
of M-theory, and perhaps also on the algebra E10 itself.

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 Datum: 2016-02-1220162017
 Publikationsstatus: Erschienen
 Seiten: 15 pages. Contribution to the proceedings of the "International Workshop on Higher Spin Gauge Theories", Singapore 4-6 November 2015
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Titel: Higher Spin Gauge Theories
Genre der Quelle: Buch
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Affiliations:
Ort, Verlag, Ausgabe: London u.a. : World Scientific
Seiten: - Band / Heft: - Artikelnummer: - Start- / Endseite: 25 - 38 Identifikator: -