论文标题

$ 3D $ $ \ MATHCAL {n} \!= \!2 $量规理论

Sequential deconfinement in $3d$ $\mathcal{N}\!=\!2$ gauge theories

论文作者

Benvenuti, Sergio, Garozzo, Ivan, Monaco, Gabriele Lo

论文摘要

我们考虑$ 3D $ $ \ MATHCAL {N} \!= \!2 $量学理论,具有基本问题,以及在等级$ 2 $表示中的单个字段。使用迭代的级别的“ deconfinect”的过程,排名$ 2 $字段,我们产生了一系列seiberg dual Quiver Theories。我们在两个示例中详细介绍了零超电势的示例:$ usp(2n)$仪表理论,具有反对称场和$ u(n)$ gauge理论,带有伴随场。完全脱落的双颤抖具有$ n $节点,可以解释为排名$ 2 $的理论的Aharony双重二元。原始理论的所有手性环发生器均映射到完全脱落的颤动双重的量规单线场中。

We consider $3d$ $\mathcal{N}\!=\!2$ gauge theories with fundamental matter plus a single field in a rank-$2$ representation. Using iteratively a process of "deconfinement" of the rank-$2$ field, we produce a sequence of Seiberg-dual quiver theories. We detail this process in two examples with zero superpotential: $Usp(2N)$ gauge theory with an antisymmetric field and $U(N)$ gauge theory with an adjoint field. The fully deconfined dual quiver has $N$ nodes, and can be interpreted as an Aharony dual of theories with rank-$2$ matter. All chiral ring generators of the original theory are mapped into gauge singlet fields of the fully deconfined quiver dual.

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