2d (0,2) Gauge Theories from Branes: Recent Progress in Brane Brick Models
arxiv(2024)
摘要
We discuss the realization of 2d (0,2) gauge theories in terms of branes
focusing on Brane Brick Models, which are T-dual to D1-branes probing toric
Calabi-Yau 4-folds. These brane setups fully encode the infinite class of 2d
(0,2) quiver gauge theories on the worldvolume of the D1-branes and
substantially streamline their connection to the probed geometries. We review
various methods for efficiently generating Brane Brick Models. These algorithms
are then used to construct 2d (0,2) gauge theories for the cones over all
the smooth Fano 3-folds and two infinite families of Sasaki-Einstein
7-manifolds with known metrics. This note is based on the author's talk at the
Gauged Linear Sigma Models @ 30 conference at the Simons Center for Geometry
and Physics.
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