Orbifold Reduction and 2d (0,2) Gauge Theories

Abstract

We introduce Orbifold Reduction, a new method for generating $2d$ $(0,2)$ gauge theories associated to D1-branes probing singular toric Calabi-Yau 4-folds starting from $4d$ $\mathcal{N}=1$ gauge theories on D3-branes probing toric Calabi-Yau 3-folds. The new procedure generalizes dimensional reduction and orbifolding. In terms of T-dual configurations, it generates brane brick models starting from brane tilings. Orbifold reduction provides an agile approach for generating $2d$ $(0,2)$ theories with a brane realization. We present three practical applications of the new algorithm: the connection between $4d$ Seiberg duality and $2d$ triality, a combinatorial method for generating theories related by triality and a $2d$ $(0,2)$ generalization of the Klebanov-Witten mass deformation.

32 pages, 25 figures

References in corpus (8)

• Two-dimensional SCFTs from D3-branes
• 2d (0,2) Quiver Gauge Theories and D-Branes
• Brane Brick Models and 2d (0,2) Triality
• On the reduction of 4d N=1 theories on S^2
• Brane Brick Models, Toric Calabi-Yau 4-Folds and 2d (0,2) Quivers
• F-theory and 2d (0,2) Theories
• UV Completions for Non-Critical Strings
• Mass-deformed Brane Tilings

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