Journal of High Energy Physics ( IF 5.0 ) Pub Date : 2021-01-13 , DOI: 10.1007/jhep01(2021)062 Gabi Zafrir
We propose that a certain 4d \( \mathcal{N} \) = 1 SU(2) × 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.
A preprint version of the article is available at ArXiv.中文翻译:
N $$ \ mathcal {N} $$ = 3 SCFT的N $$ \ mathcal {N} $$ = 1拉格朗日
我们建议某个4 d \(\ mathcal {N} \) = 1 SU(2)×SU(2)规范理论在IR中流向\(\ mathcal {N} \) = 3 SCFT加一个自由手性场。特定\(\ mathcal {N} \) = 3 SCFT具有等级1和维度3库仑分支运算符。通常期望该流降落在\(\ mathcal {N} \) = 3 SCFT处,该面积因与所述库仑分支算子相关的边际变形而变形。我们还讨论了从\(\ mathcal {N} \) = 3超保形对称性出发,各个RG不变量的期望性质,并用它们来检验我们的建议。最后,我们讨论对另一个\(\ mathcal {N} \)的概括我们建议的= 1模型通过旋转某些边际变形与某个等级3 \(\ mathcal {N} \) = 3 SCFT相关。
该文章的预印本可从ArXiv获得。