Isomorphisms of 4D N=2 SCFTs from 6D
Isomorphisms of 4D N=2 SCFTs from 6D
复制标题
6D 的 4D N=2 SCFT 同构
DOI：
10.1103/physrevd.107.106005
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发表时间：
2023
影响因子：
5
通讯作者：
Lawrie, Craig
中科院分区：
文献类型：
--
作者：
Distler, Jacques;Elliot, Grant;Kang, Monica Jinwoo;Lawrie, Craig
目前存在4d超共形场论（SCFTs），它们作为穿孔黎曼曲面具有不同的结构，但似乎描述了相同的物理。这些类理论中的一些有另一种结构，即6D (1,0) scft的环面紧化。我们证明了6D scft是同构的。每个6D SCFT都可以通过希格斯分支重整化群流从父6D SCFT中获得，并且父理论具有离散对称性，在此对称性下相关的希格斯分支流被交换。这种离散对称的存在，可以嵌入到一个增强的连续对称中，证明了原来的两类理论实际上是同构的。
There exist 4Dsuperconformal field theories (SCFTs) in classthat have different constructions as punctured Riemann surfaces, but which nevertheless appear to describe the same physics. Some of these classtheories have an alternative construction as torus-compactifications of 6D (1, 0) SCFTs. We demonstrate that the 6D SCFTs are isomorphic. Each 6D SCFT in question can be obtained from a parent 6D SCFT by Higgs branch renormalization group flow, and the parent theory possesses a discrete symmetry under which the relevant Higgs branch flows are exchanged. The existence of this discrete symmetry, which may be embedded in an enhanced continuous symmetry, proves that the original pair of classtheories are, in fact, isomorphic.