硕士生导师
个人信息Personal Information
教师英文名称：Futoshi Yagi
出生日期：1980-07-16
入职时间：2018-08-27
学历：博士研究生毕业
学位：理学博士学位
办公地点：数学学院X30471
性别：男
在职信息：在岗
毕业院校：东京大学
学科：物理学. 数学
所在单位：数学学院
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Tropical geometry and five dimensional Higgs branches at infinite coupling
DOI码：10.1007/jhep01(2019)068
发表刊物：Journal of High Energy Physics
摘要：Superconformal five dimensional theories have a rich structure of phases and brane webs play a crucial role in studying their properties. This paper is devoted to the study of a three parameter family of SQCD theories, given by the number of colors Nc for an SU(Nc) gauge theory, number of fundamental flavors Nf, and the Chern Simons level k. The study of their infinite coupling Higgs branch is a long standing problem and reveals a rich pattern of moduli spaces, depending on the 3 values in a critical way. For a generic choice of the parameters we find a surprising number of 3 different components, with intersections that are closures of height 2 nilpotent orbits of the flavor symmetry. This is in contrast to previous studies where except for one case (Nc=2,Nf=2), the parameters were restricted to the cases of Higgs branches that have only one component. The new feature is achieved thanks to a concept in tropical geometry which is called stable intersection and allows for a computation of the Higgs branch to almost all the cases which were previously unknown for this three parameter family apart form certain small number of exceptional theories with low rank gauge group. A crucial feature in the construction of the Higgs branch is the notion of dressed monopole operators.
备注：The preprint version is available at https://arxiv.org/abs/1810.01379
合写作者：Santiago Cabrera,Amihay Hanany,Futoshi Yagi
论文类型：SCI
学科门类：理学
卷号：01(2019)
期号：068
是否译文：否
发表时间：2019-01-08
收录刊物：SCI