Vortex Pair Creation on Brane-Antibrane Pair via Marginal Deformation

TL;DR

This paper demonstrates that vortex solutions on brane-antibrane systems can be generated through marginal deformations, effectively reducing the system to lower-dimensional D-branes, and discusses extensions to higher codimension solitons.

Contribution

It establishes a method to produce lower-dimensional D-branes from brane-antibrane pairs via marginal deformations, confirming a key conjecture in string theory.

Findings

Vortex solutions correspond to lower-dimensional D-branes.

Marginal deformations create vortex-antivortex pairs.

The construction extends to higher codimension solitons.

Abstract

It has been conjectured that the vortex solution on a D-brane - anti-D-brane system represents a D-brane of two lower dimension. We establish this result by first identifying a series of marginal deformations which create the vortex - antivortex pair on the brane - antibrane system, and then showing that under this series of marginal deformations the original D-brane - anti-D-brane system becomes a D-brane - anti-D-brane system with two lower dimensions. Generalization of this construction to the case of solitons of higher codimension is also discussed.