D-branes on Singularities: New Quivers from Old

TL;DR

This paper introduces techniques for efficiently computing quiver diagrams for D-branes at orbifold singularities, especially using orbifold of an orbifold approach, simplifying complex calculations in string theory.

Contribution

It presents a novel graphical method to compute quiver diagrams for D-branes on orbifolds with or without discrete torsion, leveraging the structure of group extensions.

Findings

Simplified computation of quiver diagrams for complex orbifolds

Graphical rules for fast quiver calculation

Application to orbifolds with discrete torsion

Abstract

In this paper we present simplifying techniques which allow one to compute the quiver diagrams for various D-branes at (non-Abelian) orbifold singularities with and without discrete torsion. The main idea behind the construction is to take the orbifold of an orbifold. Many interesting discrete groups fit into an exact sequence $N\to G\to G/N$. As such, the orbifold $M/G$ is easier to compute as $(M/N)/(G/N)$ and we present graphical rules which allow fast computation given the $M/N$ quiver.