论文标题
2D超对称仪表，D-BRANES和试验
2d Supersymmetric Gauge Theories, D-branes and Trialities
论文作者
论文摘要
用括号的工程量子场理论在括号中是一种理解动态的有力方法。我们回顾了实现$ 2D $ $ \ $ \ MATHCAL {n} =（0,2）$级理论的最新进展。我们讨论了Brane Brick Models，这是一种新型的IIA型Brane构型，它是T-D1-branes在奇异的Calabi-yau上4倍的d1-branes。他们完全编码$ 2D $ $ $ \ MATHCAL {n} =（0,2）$ Quiver仪表理论的无限类，并在D1-branes的WorldVolume上进行了大幅度简化与探测的几何形状的联系。作为应用程序，我们解释了这些结构如何提供试验性的易用实现。我们还评论了通过Spin（7）Erientifolds实现$ 2D $ $ \ MATHCAL {N} =（0,1）$的理论。本说明是基于作者在Nankai的数学对话研讨会上的演讲，庆祝110美元$^{th} $ S.-S.诞生的周年纪念日。切恩
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
