Non-abelian Brane Intersections

TL;DR

This paper presents new non-abelian D-string solutions featuring a fuzzy four-sphere funnel that models D-strings ending on D5-branes, offering insights into non-supersymmetric but stable brane configurations.

Contribution

It introduces a novel non-abelian D-string solution with a fuzzy four-sphere geometry and provides a dual description as a bion spike on D5-branes.

Findings

Fuzzy funnel solution with noncommutative four-sphere geometry

Interpretation as D-strings ending on D5-branes

Stable non-supersymmetric configuration

Abstract

We study new solutions of the low-energy equations of motion for the non-abelian D-string. We find a "fuzzy funnel" solution consisting of a noncommutative four-sphere geometry which expands along the length of the D-string. We show that this funnel solution has an interpretation as D-strings ending on a set of orthogonal D5-branes. Although not supersymmetric, the system appears to be stable within this framework. We also give a dual description of this configuration as a bion spike in the non-abelian world volume theory of coincident D5-branes.