Factorised 3d $$ \mathcal{N} $$ = 4 orthosymplectic quivers

Factorised 3d $$ \mathcal{N} $$ = 4 orthosymplectic quivers
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因式分解 3d $$ mathcal{N} $$ = 4 个正交箭袋

DOI:
10.1007/jhep05(2021)269
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发表时间:
2021
影响因子:
5.4
通讯作者:
Akhond M
Akhond M
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Akhond M

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研究了具有酉、正交和辛规范节点且属于例外序列的三维= 4颤规范理论的模空间。我们发现模空间的希格斯和库仑分支都分解成解耦的扇区。每个解耦扇区用一个只有酉规节点的颤振规范理论来描述。正辛振子作为5d= 1超共形场理论的磁振子,可以在有或没有O5平面的IIB型弦理论中设计。我们利用这一观点,通过将酉和正辛颤振导出为5d理论的磁颤振来假设它们的对偶对。利用这一对应关系,我们推测了正辛颤振的库仑分支Hilbert级数的精确最高权生成函数,并通过在级数展开中直接计算正辛颤振的Hilbert级数,给出了这些结果的检验。
We study the moduli space of 3d= 4 quiver gauge theories with unitary, orthogonal and symplectic gauge nodes, that fall into exceptional sequences. We find that both the Higgs and Coulomb branches of the moduli space factorise into decoupled sectors. Each decoupled sector is described by a single quiver gauge theory with only unitary gauge nodes. The orthosymplectic quivers serve as magnetic quivers for 5d= 1 superconformal field theories which can be engineered in type IIB string theories both with and without an O5 plane. We use this point of view to postulate the dual pairs of unitary and orthosymplectic quivers by deriving them as magnetic quivers of the 5d theory. We use this correspondence to conjecture exact highest weight generating functions for the Coulomb branch Hilbert series of the orthosymplectic quivers, and provide tests of these results by directly computing the Hilbert series for the orthosymplectic quivers in a series expansion.
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