arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 2201.10987hep-th
收藏

二维超对称规范理论、D-膜和Trialities

2d Supersymmetric Gauge Theories, D-branes and Trialities

Sebastián Franco

摘要:

在弦论中,用膜来设计量子场论是理解它们动力学的一个强有力的方法。本文综述了$2d$-$\mathcal{N}=(0,2)$规范理论在膜上实现的最新进展。我们讨论了Brane Brick模型,这是一类新的IIA型膜结构,它是奇异复曲面Calabi-Yau 4-folds上D1-膜的T-对偶。它们将$2d$ $\mathcal{N}=(0,2)$规范规范理论的无限类完全编码在D1-膜的世界体积上,并显著地简化了它们与探测几何的连接。作为一个应用,我们解释了这些结构如何提供一个膜实现的triality。我们还评论了$2d$ $\mathcal{N}=(0,1)$理论通过Spin(7)方向折叠的实现。本文根据作者在南开数学对话研讨会上的讲话,以纪念S. S. Chern

英文摘要:

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

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑