%0 Journal Article %J Phys. Lett. B 672 (2009) 390-395 %D 2009 %T Topological branes, p-algebras and generalized Nahm equations %A Giulio Bonelli %A Alessandro Tanzini %A Maxim Zabzine %X Inspired by the recent advances in multiple M2-brane theory, we consider the generalizations of Nahm equations for arbitrary p-algebras. We construct the topological p-algebra quantum mechanics associated to them and we show that this can be obtained as a truncation of the topological p-brane theory previously studied by the authors. The resulting topological p-algebra quantum mechanics is discussed in detail and the relation with the M2-M5 system is pointed out in the p=3 case, providing a geometrical argument for the emergence of the 3-algebra structure in the Bagger-Lambert-Gustavsson theory %B Phys. Lett. B 672 (2009) 390-395 %G en_US %U http://hdl.handle.net/1963/2702 %1 1398 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-08-08T15:57:12Z\\nNo. of bitstreams: 1\\n0807.5113v1.pdf: 246583 bytes, checksum: 0013b3623fd81d20db0fb541bd4b9dd4 (MD5) %R 10.1016/j.physletb.2009.01.051