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

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We 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.
1+28 pages

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High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/217438

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0901.3905
 http://arxiv.org/abs/0901.3905

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arXiv