Generalised Symmetries, Anomalies, and Maximal Branches of 3d Chern-Simons Matter Theories
Abstract
The generalised symmetries, 't Hooft anomalies, and their interplay with maximal branches are analysed for linear unitary three-dimensional 𝒩≥ 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.
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BibTeX
@misc{marino2026generalised,
title = {{Generalised Symmetries, Anomalies, and Maximal Branches of 3d Chern-Simons Matter Theories}},
author = {Fabio Marino and Francesca Pretto and Marcus Sperling},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.30349},
eprint = {2608.30349},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.30349},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Generalised Symmetries, Anomalies, and Maximal Branches of 3d Chern-Simons Matter Theories
AU - Fabio Marino
AU - Francesca Pretto
AU - Marcus Sperling
PY - 2026
DA - 2026/08/31
PB - arXiv
DO - 10.48550/arxiv.2608.30349
UR - https://arxiv.org/abs/2608.30349
AB - The generalised symmetries, 't Hooft anomalies, and their interplay with maximal branches are analysed for linear unitary three-dimensional 𝒩≥ 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.
ER -