Finite energy Dirac-Born-Infeld monopoles and string junctions

TL;DR

This paper demonstrates the existence of finite energy, non-singular monopoles and dyons on a D3-brane in supergravity backgrounds, revealing new supersymmetric solitons and their M-theory duals.

Contribution

It introduces finite energy, non-singular abelian monopoles and dyons preserving supersymmetry on a D3-brane, and explores their M-theory dual descriptions.

Findings

Finite energy, non-singular monopoles and dyons exist on D3-branes.

1/4 supersymmetric solitons realize string-junction dyons.

M-theory duals include self-dual strings on M5-branes.

Abstract

It is shown that the worldvolume field theory of a single D3-brane in a supergravity D3-brane background admits finite energy, and non-singular, abelian monopoles and dyons preserving 1/2 or 1/4 of the ${\cal N}=4$ supersymmetry and saturating a Bogomol'nyi-type bound. The 1/4 supersymmetric solitons provide a worldvolume realisation of string-junction dyons. We also discuss the dual M-theory realisation of the 1/2 supersymmetric dyons as finite tension self-dual strings on the M5-brane, and of the 1/4 supersymmetric dyons as their intersections.