We introduce brane brick models, a novel type of Type IIA brane congurations consisting of D4-branes ending on an NS5-brane. Brane brick models are T-dual to D1-branes over singular toric Calabi-Yau 4-folds. They fully encode the innite class of 2d (generically) N = (0; 2) gauge theories on the worldvolume of the D1-branes and streamline their connection to the probed geometries. For this purpose, we also introduce new combinatorial procedures for deriving the Calabi-Yau associated to a given gauge theory and vice versa.
Franco, Sebastian; Lee, Sangmin; and Seong, Rak-Kyeong, "Brane brick models, toric Calabi-Yau 4-folds and 2d (0,2) quivers" (2016). CUNY Academic Works.