Non-abelian Self-Dual String and M2-M5 Branes Intersection in Supergravity

TL;DR

This paper constructs a generalized non-abelian self-dual string solution for arbitrary numbers of five-branes and self-dual charges, matching supergravity predictions for M2-M5 brane intersections.

Contribution

It extends previous solutions to arbitrary N_5 and N_2, providing a more general description of self-dual strings in non-abelian theories.

Findings

Derived the radius-distance relation for M2-branes spike.

Confirmed the relation matches supergravity descriptions.

Generalized the self-dual string solution to arbitrary brane numbers.

Abstract

We consider the non-abelian theory (http://arxiv.org/abs/arXiv:1203.4224) 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 (http://arxiv.org/abs/arXiv:1207.1095) 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.