Strong Homotopy Lie Algebras, Generalized Nahm Equations and Multiple M2-branes

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dc.creatorLazaroiu, Calin I.
dc.creatorMcNamee, Daniel
dc.creatorSaemann, Christian
dc.creatorZejak, Aleksandar
dc.date2009-01-26
dc.date.accessioned2026-07-07T12:34:27Z
dc.date.available2026-07-07T12:34:27Z
dc.descriptionWe review various generalizations of the notion of Lie algebras, in particular those appearing in the recently proposed Bagger-Lambert-Gustavsson model, and study their interrelations. We find that Filippov's n-Lie algebras are a special case of strong homotopy Lie algebras. Furthermore, we define a class of homotopy Maurer-Cartan equations, which contains both the Nahm and the Basu-Harvey equations as special cases. Finally, we show how the super Yang-Mills equations describing a Dp-brane and the Bagger-Lambert-Gustavsson equations supposedly describing M2-branes can be rewritten as homotopy Maurer-Cartan equations, as well.
dc.description1+28 pages
dc.identifierhttps://arxiv.org/abs/0901.3905
dc.identifierhttp://arxiv.org/abs/0901.3905
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217438
dc.subjectHigh Energy Physics - Theory
dc.titleStrong Homotopy Lie Algebras, Generalized Nahm Equations and Multiple M2-branes
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