Brane tilings and their applications
Brane tilings and their applications
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DOI：
10.1002/prop.200810536
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发表时间：
2008-03
期刊：
影响因子：
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通讯作者：
M. Yamazaki
中科院分区：
文献类型：
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作者：
M. Yamazaki
我们回顾了最近的发展，在理论的膜tilings和四维<$= 1超对称规范理论。这篇评论包括两个部分。在第一部分中，我们描述了膜平铺的基础，强调膜平铺作为五膜系统的物理解释。在第二部分中，我们讨论了膜平铺在AdS/CFT对应和同调镜像对称中的应用。此外，还简要讨论了膜平铺的方向折叠、唯象模型的建立以及与超对称规范理论中BPS孤子的相似性等问题。本文是作者于2008年1月提交给东京大学理学部物理学系的硕士论文的修订版，并基于他的几篇论文和一些正在进行的工作[1-7]。
We review recent developments in the theory of brane tilings and four‐dimensional 𝒩 = 1 supersymmetric quiver gauge theories. This review consists of two parts. In part I, we describe foundations of brane tilings, emphasizing the physical interpretation of brane tilings as fivebrane systems. In part II, we discuss application of brane tilings to AdS/CFT correspondence and homological mirror symmetry. More topics, such as orientifold of brane tilings, phenomenological model building, similarities with BPS solitons in supersymmetric gauge theories, are also briefly discussed. This paper is a revised version of the author's master's thesis submitted to Department of Physics, Faculty of Science, the University of Tokyo on January 2008, and is based on his several papers and some works in progress [1–7].