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arXiv · 2201.02190

Comments on Global Symmetries and Anomalies of $5d$ SCFTs

Pietro Benetti Genolini·Luigi Tizzano
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Abstract

We study various aspects of global symmetries in five-dimensional superconformal field theories. Whenever a supersymmetry-preserving relevant deformation is available, the infrared gauge theory description might exhibit a finite order mixed 't Hooft anomaly between a $1$-form symmetry and the instantonic symmetry. This anomaly constrains the flavor symmetry group acting faithfully on the SCFT and the consistency of certain RG flows. As an additional example, we consider the instructive case of three-dimensional $\mathcal{N}=4$ SQED. Finally, we discuss the compatibility between conformal invariance and the presence of $1$-form and $2$-group global symmetries.

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Pietro Benetti Genolini, Luigi Tizzano. 2022-01-06. Comments on Global Symmetries and Anomalies of $5d$ SCFTs. https://doi.org/10.1007/s00220-024-05139-8

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