Non-simply-laced symmetry algebras in F-theory on singular spaces
Non-simply-laced symmetry algebras in F-theory on singular spaces
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奇异空间F理论中的非简单对称代数
DOI：
10.1007/jhep09(2018)129
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发表时间：
2018
影响因子：
5.4
通讯作者：
Jiahua Tian
中科院分区：
文献类型：
--
作者：
A. Grassi;James Halverson;Cody Long;J. Shaneson;Jiahua Tian
我们演示了非简单规范对称性和风味对称性如何在具有非孤立奇点的空间的 F 理论中出现。从简单花边对称性到非简单花边对称性的破坏是由 Calabi-Yau 复杂结构变形引起的。在所有示例中，变形都保持非孤立奇点，但伴随着 I1 七膜的分裂，在非阿贝尔七膜附近的几何结构中打开新的环。分裂也出现在探针 D3 膜的模空间中，该探针在穿过新环路时会经历作用于奇异空间上 3-7 个弦连接点的单向性。一性性将对称代数（即 D3 膜的风味对称性和七膜的规范对称性）降低为非单系的对称代数。 D3 膜与七膜的碰撞产生 4d N=1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N}=1 $$\end{document} SCFT 具有非简单花边风味对称性。
We demonstrate how non-simply-laced gauge and flavor symmetries arise in F-theory on spaces with non-isolated singularities. The breaking from a simply-laced symmetry to one that is non-simply-laced is induced by Calabi-Yau complex structure deformation. In all examples the deformation maintains non-isolated singularities but is accompanied by a splitting of an I1 seven-brane that opens new loops in the geometry near a non-abelian seven-brane. The splitting also arises in the moduli space of a probe D3-brane, which upon traversing the new loop experiences a monodromy that acts on 3-7 string junctions on the singular space. The monodromy reduces the symmetry algebra, which is the flavor symmetry of the D3-brane and the gauge symmetry of the seven-brane, to one that is non-simply-laced. A collision of the D3-brane with the seven-brane gives rise to a 4d N=1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N}=1 $$\end{document} SCFT with a non-simply-laced flavor symmetry.
类固醇的泰特形式：分辨率和更高的余维纤维
影响因子：
5.4
作者：
Lawrie C
通讯作者：
Lawrie C
箱线图和奇异纤维
影响因子：
5.4
作者：
Hayashi H
通讯作者：
Hayashi H