Conifolds From D-branes

TL;DR

This paper investigates how D-branes resolve conifold singularities through compactification on a specific orbifold, revealing that all phases of Type-II string theory are geometrically accessible via D-branes and flops.

Contribution

It demonstrates that the vacuum moduli space of D-branes on a $ ext{C}^3/( ext{Z}_2 imes ext{Z}_2)$ orbifold is a resolved conifold, connecting D-brane configurations to geometric phases.

Findings

The moduli space is a toric variety representing a resolved conifold.

All phases of Type-II string theory are geometrical and accessible via D-branes.

D-branes facilitate the transition between different geometric phases through flops.

Abstract

In this note we study the resolution of conifold singularity by D-branes by considering compactification of D-branes on $\C^3/(\Z_2\times\Z_2)$. The resulting vacuum moduli space of D-branes is a toric variety which turns out to be a resolved conifold, that is a nodal variety in $\C^4$. This has the implication that all the corresponding phases of Type--II string theory are geometrical and are accessible to the D-branes, since they are related by flops.