A note on the M2-M5 brane system and fuzzy spheres

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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17 pages, latex

Scientific paper

10.1016/j.physletb.2006.06.060

This note covers various aspects of recent attempts to describe membranes ending on fivebranes using fuzzy geometry. In particular, we examine the Basu-Harvey equation and its relation to the Nahm equation as well as the consequences of using a non-associative algebra for the fuzzy three-sphere. This produces the tantalising result that the fuzzy funnel solution corresponding to Q coincident membranes ending on a five-brane has $Q^{3/2}$ degrees of freedom.

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