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The geometry of SUSY enhancement
Journal of High Energy Physics ( IF 5.4 ) Pub Date : 2020-02-01 , DOI: 10.1007/jhep02(2020)106
Federico Carta , Simone Giacomelli , Hirotaka Hayashi , Raffaele Savelli

We provide a precise geometric picture that demystifies the phenomenon of supersymmetry enhancement along certain RG flows of four-dimensional field theories, recently discovered by Maruyoshi and Song. It applies to theories of arbitrary rank and it is based on a hyperkähler-structure restoration on the moduli space of solutions of (twisted) Hitchin systems, which underly the class- S $$ \mathcal{S} $$ construction we use as an engineering tool. Along the way, we formulate a necessary algebraic condition for supersymmetry enhancement, and, when enhancement occurs, we are able to derive the Seiberg-Witten geometry and all conformal dimensions of Coulomb-branch operators for the infrared theory, without using a-maximization.

中文翻译:

SUSY增强几何

我们提供了一张精确的几何图片,揭开了 Maruyoshi 和 Song 最近发现的沿四维场理论的某些 RG 流的超对称增强现象的神秘面纱。它适用于任意秩的理论,它基于(扭曲的)希钦系统解的模空间上的 hyperkähler 结构恢复,这是我们使用的类 S $$ \mathcal{S} $$ 构造的基础工程工具。在此过程中,我们为超对称增强制定了一个必要的代数条件,并且当增强发生时,我们能够推导出 Seiberg-Witten 几何和用于红外理论的库仑分支算子的所有共形维数,而无需使用 a-最大化。
更新日期:2020-02-01
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