Brane Cube Realization of Three-dimensional Nonabelian Orbifolds

Abstract

We study D-branes on three-dimensional orbifolds ${\mathbf{C}}^3/\Gamma$ where $\Gamma$ are finite subgroups of SU(3). The quiver diagram of $\ZnZn \in SU(3)$ can be expressed in three-dimensional form. According to the correspondence between quiver diagrams and brane configurations, we construct a brane configuration for ${\bf C}^3/\ZnZn$ which has essentially three-dimensional structrue. Brane configurations for nonabelian orbifolds $\C^3/Δ(3n^2)$ and $\C^3/Δ(6n^2)$ are obtained from that for $\C^3/\ZnZn$ by certain quotienting procedure.

19 pages, 14 figures

References in corpus (1)

• Brane Configurations for Three-dimensional Nonabelian Orbifolds

Cited by in corpus (6)

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• On Algebraic Singularities, Finite Graphs and D-Brane Gauge Theories: A String Theoretic Perspective
• Stepwise Projection: Toward Brane Setups for Generic Orbifold Singularities
• Finite Heisenberg Groups from Nonabelian Orbifold Quiver Gauge Theories