Non-abelian self-dual string and M2-M5 branes intersection in supergravity

Abstract

We consider the non-abelian theory [1] for an arbitrary number N 5 of five-branes and construct self-dual string solution with an arbitrary N 2 unit of self-dual charges. This generalizes the previous solution of non-abelian self-dual string [2] of N 5 = 2, N 2 = 1. The radius-transverse distance relation describing the M2-branes spike, particularly its dependence on N 2 and N 5, is obtained and is found to agree precisely with the supergravity description of an intersecting M2-M5 branes system. © 2013 SISSA, Trieste, Italy.