Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-11-08
JHEP0601:010,2006
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, typos corrected, references added
Scientific paper
10.1088/1126-6708/2006/01/010
A generalization of Nahm's equation has been recently conjectured by Basu and Harvey to be the BPS condition describing the bound state of a stack of M2-branes ending on an M5-brane. In this note exact solutions are presented for the proposed BPS equation - which is from the point of view of the M2-brane world-volume dynamics - with boundary conditions appropriate for M2-branes stretching between two M5-branes. Unfortunately, since the action for multiple M5-branes or for multiple coincident M2-branes is not known, one can only resort to consistency checks of the proposal instead of a direct comparison of the M2 and M5 world-volume point of views. The existence of our solutions should be seen as such a consistency check of the conjecture, and also as a source of new insight into the dynamics of multiple M2 and M5-branes.
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