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 4dN=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.
@article{arxiv.1609.07144,
title = {Orbifold Reduction and 2d (0,2) Gauge Theories},
author = {Sebastian Franco and Sangmin Lee and Rak-Kyeong Seong},
journal= {arXiv preprint arXiv:1609.07144},
year = {2017}
}