Discrete gauging in Coulomb branches of three dimensional N=4$$ \mathcal{N}=4 $$ supersymmetric gauge theories

Discrete gauging in Coulomb branches of three dimensional N=4$$ \mathcal{N}=4 $$ supersymmetric gauge theories
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三维库仑分支中的离散计量 N=4$$ mathcal{N}=4 $$ 超对称规范理论

DOI:
10.1007/jhep08(2018)158
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发表时间:
2018
影响因子:
5.4
通讯作者:
A. Zajac
A. Zajac
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
A. Hanany;A. Zajac

文献摘要

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本文检验了3dN=4$ \mathcal{N}=4 $$超对称非阿贝尔规范理论的一个离散非阿贝尔规范猜想。给定一个具有一群秩为1的n个节点的父树,在离散Sn全局对称下不变,可以构造一个子树,其中该群被单个伴随n个节点取代。基于本文的主要猜想,子库仑分支对应于一个理论,其中Sn离散整体对称性是规范的,新的库仑分支是父库仑分支的非阿贝尔轨道。我们证明和测试的三个简单的花边家庭的花束箭和一个非简单的花边花束箭与C2因子的整体对称性的猜想。
A bstractThis paper tests a conjecture on discrete non-Abelian gauging of 3dN=4$$ \mathcal{N}=4 $$ supersymmetric quiver gauge theories. Given a parent quiver with a bouquet of n nodes of rank 1, invariant under a discrete Sn global symmetry, one can construct a daughter quiver where the bouquet is substituted by a single adjoint n node. Based on the main conjecture in this paper, the daughter quiver corresponds to a theory where the Sn discrete global symmetry is gauged and the new Coulomb branch is a non-Abelian orbifold of the parent Coulomb branch. We demonstrate and test the conjecture for three simply laced families of bouquet quivers and a non-simply laced bouquet quiver with C2 factor in the global symmetry.