Moduli Space for Conifolds as Intersection of Orthogonal D6 branes

TL;DR

This paper maps D3 branes near a conifold singularity to orthogonal D6 branes in type IIA string theory, analyzing the Higgs moduli space and revealing insights into the geometry and instanton effects.

Contribution

It introduces a novel brane configuration mapping for conifold singularities and analyzes the Higgs moduli space, highlighting an extended s-rule and worldsheet instanton effects.

Findings

Higgs moduli space dimension matches geometrical analysis

Evidence for an extended s-rule in brane configurations

Discrepancy explained by worldsheet instanton effects

Abstract

We show that a system of parallel D3 branes near a conifold singularity can be mapped onto an intersecting configuration of orthogonal branes in type IIA string theory. Using this brane configuration, we analyze the Higgs moduli space of the associated field theory. The dimension of the Higgs moduli space is computed from a geometrical analysis of the conifold singularity. Our results provide evidence for an extended s-rule. In addition, a discrepancy between the prediction of the brane configuration and the result obtained from a geometrical anaysis is noted. This discrepancy is traced back to worldsheet instanton effects.