Strong Homotopy Lie Algebras, Generalized Nahm Equations and Multiple M2-branes (2009)
Lazaroiu, Calin I., McNamee, Daniel, Saemann, Christian, Zejak, Aleksandar
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...
Generalized Berezin-Toeplitz quantization of Kaehler supermanifolds (2008)
Iuliu-Lazaroiu, Calin, McNamee, Daniel, Saemann, Christian
We extend the construction of generalized Berezin and Berezin-Toeplitz quantization to the case of compact Hodge supermanifolds. Our approach is based on certain super-analogues of Rawnsley's...
Generalized Berezin quantization, Bergman metrics and fuzzy Laplacians (2008)
Lazaroiu, Calin Iuliu, McNamee, Daniel, Saemann, Christian
We study extended Berezin and Berezin-Toeplitz quantization for compact Kaehler manifolds, two related quantization procedures which provide a general framework for approaching the construction of...