Solitons on Singularities

TL;DR

This paper explores various solitons in string theory, specifically D-branes wrapped on singularities, revealing their roles as monopoles, strings, and domain walls in a geometric framework.

Contribution

It provides a detailed description of how different solitons correspond to D-branes wrapped on specific singularities and their geometric deformations.

Findings

Monopoles are D3 branes on deformed singularities.

Strings are D3 branes on singularities deformed or resolved.

Domain walls involve D5 branes on deformed $A_3$ singularities.

Abstract

We describe solitons that live on the world--volumes of D5 branes wrapped on deformed $A_2$ singularities fibered over $C(x)$. We show that monopoles are D3 branes wrapped on a node of the deformed singularity and stretched along $C(x)$. F and D--term strings are D3 branes wrapped on a node of a singularity that is deformed and resolved respectively. Domain walls require deformed $A_3$ singularities and correspond to D5 branes wrapped on a node and stretched along $C(x)$.