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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 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.


This article was originally published in the Journal of High Energy Physics, available at DOI:10.1007/JHEP03(2017)016.

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0).

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