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三维陈-西蒙斯物质理论的广义对称性、反常与极大分支

Generalised Symmetries, Anomalies, and Maximal Branches of 3d Chern-Simons Matter Theories

Fabio Marino, Francesca Pretto, Marcus Sperling

arXiv 2608.30349首次发表:更新:

发表机构

University of Vienna(维也纳大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文分析IIB型膜构型实现的三维𝒩≥3线性酉陈-西蒙斯物质quiver理论的广义对称性、反常与极大分支,提出磁-quiver扩展方案以重现1-形式对称性及其混合反常。

AI 中文摘要

本文对在IIB型膜构型中实现的线性酉三维𝒩≥3陈-西蒙斯物质 quiver 理论,分析其广义对称性、't Hooft 反常及其与极大分支的相互作用。分别从Wilson线屏蔽和弦格出发,确定1-形式对称性、其自身反常及最大无反常子群;利用生成Gukov-Witten缺陷的分数磁单极端点提取反常数据,而整数磁单极的中心电荷则确定忠实0-形式对称群、其连通覆盖及可能的2-群结构。在所考虑的线性酉理论中,发现含非阿贝尔0-形式因子的混合反常会抵消。1-形式规范对极大分支的效应与冻结D3-膜区相关,这些区流向陈-西蒙斯拓扑量子场论(TQFT),其任意子线会阻碍所需缺陷端点,这为受影响分支提供判据,且意味着最多两个分支可同时受影响;在此情形下,提出通过非单秩边进行磁-quiver扩展,其中可重现1-形式对称性及其与分支等距的混合反常。

英文摘要

The generalised symmetries, 't Hooft anomalies, and their interplay with maximal branches are analysed for linear unitary three-dimensional $\mathcal{N}\geq 3$ Chern-Simons Matter quiver theories realised in Type IIB brane configurations. The 1-form symmetry, its self-anomaly and its maximal anomaly-free subgroup are determined independently from Wilson-line screening and from the string lattice. Fractional monopole endpoints of the generating Gukov-Witten defect are used to extract the anomaly data, while centre charges of integer monopoles determine the faithful 0-form symmetry group, its connected cover and possible 2-group structures. Mixed anomalies with non-abelian 0-form factors are found to cancel in the linear unitary theories considered. The effect of 1-form gauging on maximal branches is related to frozen D3-brane sectors, which flow to Chern-Simons TQFTs whose anyonic lines obstruct the required defect endpoint. This yields a criterion for affected branches and implies that at most two can be affected simultaneously. In such a case, a magnetic-quiver extension by non-simply laced edges is proposed, wherein the 1-form symmetry and its mixed anomaly with the branch isometry are reproduced.

Commentsv1: 37 pages + appendices

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