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Main Authors: Genolini, Pietro Benetti, Tizzano, Luigi
Format: Preprint
Published: 2022
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Online Access:https://arxiv.org/abs/2201.02190
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author Genolini, Pietro Benetti
Tizzano, Luigi
author_facet Genolini, Pietro Benetti
Tizzano, Luigi
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2201_02190
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Comments on Global Symmetries and Anomalies of $5d$ SCFTs
Genolini, Pietro Benetti
Tizzano, Luigi
High Energy Physics - Theory
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.
title Comments on Global Symmetries and Anomalies of $5d$ SCFTs
topic High Energy Physics - Theory
url https://arxiv.org/abs/2201.02190