't Hooft Vortices on D-branes

TL;DR

This paper proposes a geometric realization of 't Hooft vortices using D-brane intersections and employs Maldacena's conjecture to compute the static potential between vortex pairs in various brane configurations.

Contribution

It introduces a D-brane intersection model for 't Hooft vortices and calculates their interaction potential using gauge/gravity duality in the large N limit.

Findings

Vortex-anti-vortex potential computed via holography.

D-brane intersections serve as geometric models for vortices.

Results support the vortex interpretation in string theory context.

Abstract

The point where a D2-brane intersecting a stack of D2-branes is proposed as a candidate for the 't Hooft vortex in the world-volume theory of N D2-branes. This straightforwardly generalizes to D3-branes, where a vortex line is generated by the intersection. Similarly, there are such objects on M-branes. We use Maldacena's conjecture to compute the static potential between a vortex and an anti-vortex in each case, in the large N limit.