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Notes on hyperloops in N $$ \mathcal{N} $$ = 4 Chern-Simons-matter theories
Journal of High Energy Physics ( IF 5.4 ) Pub Date : 2021-07-21 , DOI: 10.1007/jhep07(2021)159
Nadav Drukker 1 , Marcia Tenser 2 , Diego Trancanelli 2, 3, 4
Affiliation  

We present new circular Wilson loops in three-dimensional \( \mathcal{N} \) = 4 quiver Chern-Simons-matter theory on S3. At any given node of the quiver, a two-parameter family of operators can be obtained by opportunely deforming the 1/4 BPS Gaiotto-Yin loop. Including then adjacent nodes, the coupling to the bifundamental matter fields allows to enlarge this family and to construct loop operators based on superconnections. We discuss their classification, which depends on both discrete data and continuous parameters subject to an identification. The resulting moduli spaces are conical manifolds, similar to the conifold of the 1/6 BPS loops of the ABJ(M) theory.

A preprint version of the article is available at ArXiv.


中文翻译:

N $$ \mathcal{N} $$ = 4 Chern-Simons-matter Theories 中的超回路笔记

我们在S 3上的三维\( \mathcal{N} \) = 4 quiver Chern-Simons-matter 理论中提出了新的圆形威尔逊环。在箭袋的任何给定节点上,可以通过适当地变形 1/4 BPS Gaiotto-Yin 循环来获得双参数算子族。包括相邻的节点,与双基物质场的耦合允许扩大这个家族并基于超级连接构建循环算子。我们讨论它们的分类,这取决于受识别的离散数据和连续参数。由此产生的模空间是锥形流形,类似于 ABJ(M) 理论的 1/6 BPS 环的锥体。

该文章的预印版可在 ArXiv 上获得。
更新日期:2021-07-22
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