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Generalized Symmetries and Anomalies of 3d N=4 SCFTs by Bhardwaj, Lakshya; Bullimore, Mathew; Ferrari, Andrea E. V.; Schafer-Nameki, Sakura is a scholarly article available to read on EtoBox.

What is Generalized Symmetries and Anomalies of 3d N=4 SCFTs about?

We study generalized global symmetries and their 't Hooft anomalies in 3d N=4 superconformal field theories (SCFTs). Following some general considerations, we focus on good quiver gauge theories, comprised of balanced unitary nodes and unbalanced unitary and special unitary nodes. While the global form of the Higgs branch symmetry group may be determined from the UV Lagrangian, the global form of Coulomb branch symmetry groups and associated mixed 't Hooft anomalies are more subtle due to potential symmetry enhancement in the IR. We describe how Coulomb branch symmetry groups and their mixed 't Hooft anomalies can be deduced from the UV Lagrangian by studying center charges of various types of monopole operators, providing a concrete and unambiguous way to implement 't Hooft anomaly matching. The final expression for the symmetry group and 't Hooft anomalies has a concise form that can be easily read off from the quiver data, specifically from the positions of the unbalanced and flavor nodes with respect to the positions of the balanced nodes. We provide consistency checks by applying our method to compute symmetry groups of 3d N=4 theories corresponding to magnetic quivers of 4d C

Author

Bhardwaj, Lakshya; Bullimore, Mathew; Ferrari, Andrea E. V.; Schafer-Nameki, Sakura

Published

2023

Language

EN