(0,4) brane box models

Abstract

Abstract Two-dimensional N = 0 , 4 $$ \mathcal{N}=\left(0,\ 4\right) $$ supersymmetric quiver gauge theories are realized as D3-brane box configurations (two dimensional intervals) which are bounded by NS5-branes and intersect with D5-branes. The periodic brane configuration is mapped to D1-D5-D5′ brane system at orbifold singularity via T-duality. The matter content and interactions are encoded by the N = 0 , 4 $$ \mathcal{N}=\left(0,\ 4\right) $$ quiver diagrams which are determined by the brane configurations. The Abelian gauge anomaly cancellation indicates the presence of Fermi multiplets at the NS-NS′ junction. We also discuss the brane construction of N = 0 , 4 $$ \mathcal{N}=\left(0,\ 4\right) $$ supersymmetric boundary conditions in 3d N = 4 $$ \mathcal{N}=4 $$ gauge theories involving two-dimensional boundary degrees of freedom that cancel gauge anomaly.

Keywords

• Anomalies in Field and String Theories
• Brane Dynamics in Gauge Theories
• Supersymmetric Gauge Theory