标题： 从膜中得到的2d (0,2) 规范理论：膜砖模型中的最新进展 显示英文标题

标题： 2d (0,2) Gauge Theories from Branes: Recent Progress in Brane Brick Models

摘要： 我们讨论了通过膜来实现$2d$ $(0,2)$ 规范理论，重点在于膜砖模型，这些模型是D1膜探测环状卡拉比-丘4流形的T对偶。这些膜设置完全编码了D1膜世界体积上的无限类$2d$$(0,2)$量子规范理论，并大大简化了它们与探测几何之间的联系。我们回顾了各种高效生成膜砖模型的方法。然后使用这些算法为所有光滑法诺3流形的锥体以及两个具有已知度量的Sasaki-Einstein 7流形的无限族构建$2d$ $(0,2)$ 规范理论。本笔记基于作者在西蒙斯几何与物理中心举办的Gauged Linear Sigma Models @ 30会议上的演讲。 显示英文摘要

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.