Non-Abelian Self-Dual String Solutions

TL;DR

This paper finds exact non-abelian string solutions in a recently constructed 5-branes theory, demonstrating their relation to M2-brane spikes and self-dual charges, advancing understanding of non-abelian (2,0) theories.

Contribution

It provides explicit solutions for non-abelian 5-branes equations, connecting them to M2-brane spikes and self-dual charges, despite incomplete supersymmetric formulation.

Findings

Exact string solutions in non-abelian 5-branes theory.

Solutions can be lifted to non-abelian (2,0) theory with self-dual charges.

Scalar fields describe M2-brane spikes emerging from M5-branes.

Abstract

We consider the equations of motion of the non-abelian 5-branes theory recently constructed in http://arxiv.org/abs/arXiv:1203.4224 and find exact string solutions both for uncompactified and compactified spacetime. Although one does not have the full supersymmetric construction of the non-abelian (2,0) theory, by combining knowledge of conformal symmetry and R-symmetry one can argue for the form of the 1/2 BPS equations in the case when only one scalar field is turned on. We solve this system and show that our string solutions could be lifted to become solutions of the non-abelian (2,0) theory with self-dual electric and magnetic charges, with the scalar field describing a M2-brane spike emerging out of the multiple M5-branes worldvolume.