The $Z_k\times D_{k^{\prime }}$ Brane Box Model

Abstract

An example of a non-Abelian Brane Box Model, namely one corresponding to a $Z_k\times D_{k^{\prime }}$ orbifold singularity of $\C^3$, is constructed. Its self-consistency and hence equivalence to geometrical methods are subsequently shown. It is demonstrated how a group-theoretic twist of the non-Abelian group circumvents the problem of inconsistency that arise from na\"ıve attempts at the construction.

27 Pages and 4 Figures

Cited by in corpus (7)

• Dimers and Orientifolds
• 5D and 6D SCFTs from ${\mathbb{C}}^3$ orbifolds
• D-branes on Singularities: New Quivers from Old
• Integrable Spin Chains on the Conformal Moose
• G_2 Quivers
• The Splitting of Branes on Orientifold Planes
• Stepwise Projection: Toward Brane Setups for Generic Orbifold Singularities