D-branes on Three-dimensional Nonabelian Orbifolds

TL;DR

This paper investigates D-branes on nonabelian orbifolds of complex three-dimensional space, deriving formulas for quiver diagrams that depict gauge theories, revealing structures akin to brane webs.

Contribution

It provides general formulas for constructing quiver diagrams for D-branes on nonabelian orbifolds of C^3, specifically for dihedral-like subgroups.

Findings

Quiver diagrams resemble brane webs.

Formulas applicable to Δ(3n^2) and Δ(6n^2) subgroups.

Enhanced understanding of D-brane gauge theories on complex orbifolds.

Abstract

We study D-branes on a three complex dimensional nonabelian orbifold ${\bf C}^3/\Gamma$ with $\Gamma$ a finite subgroup of SU(3). We present general formulae necessary to obtain quiver diagrams which represent the gauge group and the spectrum of the D-brane worldvolume theory for dihedral-like subgroups $\Delta(3n^2)$ and $\Delta(6n^2)$. It is found that the quiver diagrams have a similar structure to webs of branes.