DBI Global Strings

TL;DR

This paper explores global string solutions within a DBI kinetic framework, revealing a 'wrinkle' effect at high potential heights and connecting these solutions to D3-brane dynamics in warped geometries.

Contribution

It introduces a novel class of DBI global string solutions, extending the usual vortices, and analyzes their behavior in string theory contexts like D3-branes on warped conifolds.

Findings

DBI global strings exhibit a 'wrinkle' at high potential heights.

Standard global strings are recovered at lower, substringy potentials.

The solutions are linked to D3-brane symmetry breaking in warped geometries.

Abstract

In this note we present global string solutions which are a generalization of the usual field theory global vortices when the kinetic term is DBI. Such vortices can result from the spontaneous symmetry breaking in the potential felt by a D3-brane. In a previous paper (0706.0485), the DBI instanton solution was constructed which develops a "wrinkle" for stringy heights of the potential. A similar effect is also seen for the DBI vortex solution. The wrinkle develops for stringy heights of the potential. One recovers the usual field theory global string for substringy potentials. As an example of the symmetry breaking, we consider a mobile D3-brane on the warped deformed conifold. Symmetry breaking can occur if the structure of the vacuum manifold of the potential for the D3-brane changes as it moves through the throat region.