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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M5-branes, toric diagrams and gauge theory duality
DOI码:10.1007/jhep04(2012)105
发表刊物:Journal of High Energy Physics
摘要:In this article we explore the duality between the low energy effective theory of five-dimensional N=1 SU(N)^{M-1} and SU(M)^{N-1} linear quiver gauge theories compactified on S^1. The theories we study are the five-dimensional uplifts of four-dimensional superconformal linear quivers. We study this duality by comparing the Seiberg-Witten curves and the Nekrasov partition functions of the two dual theories. The Seiberg-Witten curves are obtained by minimizing the worldvolume of an M5-brane with nontrivial geometry. Nekrasov partition functions are computed using topological string theory. The result of our study is a map between the gauge theory parameters, i.e., Coulomb moduli, masses and UV coupling constants, of the two dual theories. Apart from the obvious physical interest, this duality also leads to compelling mathematical identities. Through the AGTW conjecture these five-dimentional gauge theories are related to q-deformed Liouville and Toda SCFTs in two-dimensions. The duality we study implies the relations between Liouville and Toda correlation functions through the map we derive.
备注:The preprint version is available at https://arxiv.org/abs/1112.5228
合写作者:Ling Bao,Elli Pomoni,Masato Taki,Futoshi Yagi
论文类型:SCI
学科门类:理学
卷号:04(2012)
期号:105
是否译文:否
发表时间:2012-04-20
收录刊物:SCI