The singularity structure of scale-invariant rank-2 Coulomb branches
The singularity structure of scale-invariant rank-2 Coulomb branches
复制标题
尺度不变的2阶库仑支的奇点结构
DOI：
10.1007/jhep05(2018)086
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发表时间：
2018
影响因子：
5.4
通讯作者：
M. Martone
中科院分区：
文献类型：
--
作者：
P. Argyres;Cody Long;M. Martone
摘要我们计算 4d 2 阶 N=2$$ \mathcal{N}=2 $$ 超共形场论中库仑分支算子的标度维数谱。只允许有限的有理缩放维度集。它是通过使用有关库仑分支上度量奇点轨迹的全局拓扑、这些奇点附近的特殊凯勒几何以及沿 U(1)R 对称轨道的电磁对偶性单峰的信息来确定的。开发了一组新颖的拓扑和几何结果，有望对各级库仑支几何的研究和分类有用。
A bstractWe compute the spectrum of scaling dimensions of Coulomb branch operators in 4d rank-2 N=2$$ \mathcal{N}=2 $$ superconformal field theories. Only a finite rational set of scaling dimensions is allowed. It is determined by using information about the global topology of the locus of metric singularities on the Coulomb branch, the special Kähler geometry near those singularities, and electric-magnetic duality monodromies along orbits of the U(1)R symmetry. A set of novel topological and geometric results are developed which promise to be useful for the study and classification of Coulomb branch geometries at all ranks.