论文标题

库仑和希格斯分支来自规范奇异性:第0部分

Coulomb and Higgs Branches from Canonical Singularities: Part 0

论文作者

Closset, Cyril, Schafer-Nameki, Sakura, Wang, Yi-Nan

论文摘要

五维和四维的超符合场理论具有八种superchus,分别来自理论和类型IIB字符串理论的规范三倍的奇异性。我们使用奇异性的切割和变形研究了他们的库仑和希格斯分支。我们通过将理论压缩到3D,然后是3D $ \ Mathcal {n} = 4 $镜像对称性和$ s $ s $ type衡量亚伯式风味对称的对称性,从而提出了所得模量空间之间的关系。特别是,我们使用此对应关系来确定几何形状的5D SCFT的希格斯分支及其磁颤动。作为一般框架的应用,我们观察到,IIB型Argyres-Douglas理论的奇异性也引起了M理论中的排名5D SCFT。我们还计算了4D和5D SCFT的更高形式的对称性,包括$(G,G')$类型的广义Argyres-Douglas理论的单一形式对称性。

Five- and four-dimensional superconformal field theories with eight supercharges arise from canonical threefold singularities in M-theory and Type IIB string theory, respectively. We study their Coulomb and Higgs branches using crepant resolutions and deformations of the singularities. We propose a relation between the resulting moduli spaces, by compactifying the theories to 3d, followed by 3d $\mathcal{N}=4$ mirror symmetry and an $S$-type gauging of an abelian flavor symmetry. In particular, we use this correspondence to determine the Higgs branch of some 5d SCFTs and their magnetic quivers from the geometry. As an application of the general framework, we observe that singularities that engineer Argyres-Douglas theories in Type IIB also give rise to rank-0 5d SCFTs in M-theory. We also compute the higher-form symmetries of the 4d and 5d SCFTs, including the one-form symmetries of generalized Argyres-Douglas theories of type $(G, G')$.

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