Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-07-31
Phys.Lett.B672:390-395,2009
Physics
High Energy Physics
High Energy Physics - Theory
20 pages
Scientific paper
10.1016/j.physletb.2009.01.051
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
Bonelli Giulio
Tanzini Alessandro
Zabzine Maxim
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