论文标题

n = 1 lagrangian n = 3 scft

An N=1 Lagrangian for an N=3 SCFT

论文作者

Zafrir, Gabi

论文摘要

我们建议某个$ 4D $ \ $ \ MATHCAL {n} = 1 $ $ $ $ su(2)\ times su(2)$量规理论在IR中流到$ \ Mathcal {n} = 3 $ scft以及单个免费手性手续领域。特定的$ \ MATHCAL {N} = 3 $ SCFT的排名$ 1 $,尺寸为三个库仑分支运算符。通常期望该流量以$ \ MATHCAL {n} = 3 $ scft的降落,这是与所述库仑分支运营商相关的边缘变形变形的。我们还提出了关于从$ \ MATHCAL {n} = 3 $ SUPERCON -CON -MENTORMETRY的各种RG不变量的属性的讨论,并使用它们来测试我们的建议。最后,我们讨论了我们建议的另一个$ \ Mathcal {n} = 1 $模型的概括,与某个级别的$ 3 $ \ $ \ MATHCAL {n} = 3 $ scft有关,通过某些边缘变形的转动。

We propose that a certain $4d$ $\mathcal{N}=1$ $SU(2)\times SU(2)$ gauge theory flows in the IR to an $\mathcal{N}=3$ SCFT plus a single free chiral field. The specific $\mathcal{N}=3$ SCFT has rank $1$ and a dimension three Coulomb branch operator. The flow is generically expected to land at the $\mathcal{N}=3$ SCFT deformed by the marginal deformation associated with said Coulomb branch operator. We also present a discussion about the properties expected of various RG invariant quantities from $\mathcal{N}=3$ superconformal symmetry, and use these to test our proposal. Finally, we discuss a generalization to another $\mathcal{N}=1$ model that we propose is related to a certain rank $3$ $\mathcal{N}=3$ SCFT through the turning of certain marginal deformations.

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