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Tensor hierarchies, Borcherds algebras and E11
Physique Théorique et Mathématique, Université Libre de Bruxelles & International Solvay Institutes, Boulevard du Triomphe, Campus Plaine, Bruxelles, Belgium.
2012 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 2, article id 066Article in journal (Refereed) Published
Abstract [en]

Gauge deformations of maximal supergravity in D = 11 - n dimensions generically give rise to a tensor hierarchy of p-form fields that transform in specific representations of the global symmetry group E-n. We derive the formulas defining the hierarchy from a Borcherds superalgebra corresponding to E-n. Tiffs explains why the E-n representations in the tensor hierarchies also appear in the level decomposition of the Borcherds superalgebra. We show that the indefinite Kac-Moody algebra E-11 can be used equivalently to determine these representations, up to p = D, and for arbitrarily large p if E-11 is replaced by E-r with sufficiently large rank r.

Place, publisher, year, edition, pages
Springer, 2012. no 2, article id 066
Keywords [en]
Supergravity Models, M-Theory
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:oru:diva-111168DOI: 10.1007/JHEP02(2012)066ISI: 000301451200066Scopus ID: 2-s2.0-84857820757OAI: oai:DiVA.org:oru-111168DiVA, id: diva2:1832105
Note

 The work is supported by IISN Belgium (conventions 4.4511.06 and 4.4514.08), by the Belgian Federal Science Policy Office through the Interuniversity Attraction Pole P6/11.

Available from: 2024-01-28 Created: 2024-01-28 Last updated: 2024-02-12Bibliographically approved

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Palmkvist, Jakob

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