  Engineering quantum field theories in String Theory in terms of branes is a
powerful approach for understanding their dynamics. We review recent progress
in the realization of $2d$ $\mathcal{N}=(0,2)$ gauge theories in terms of
branes. We discuss Brane Brick Models, a new class of Type IIA brane
configurations which are T-dual to D1-branes over singular toric Calabi-Yau
4-folds. They fully encode the infinite class of $2d$ $\mathcal{N}=(0,2)$
quiver gauge theories on the worldvolume of the D1-branes and significantly
streamline their connection to the probed geometries. As an application, we
explain how these constructions provide a brane realization of triality. We
also comment on the realization of $2d$ $\mathcal{N}=(0,1)$ theories via
Spin(7) orientifolds. This note is based on the author's talk at the Nankai
Symposium on Mathematical Dialogues celebrating the 110$^{th}$ anniversary of
the birth of Prof. S.-S. Chern
