On the 3d compactifications of 5d SCFTs associated with SU(N+1) gauge theories

Abstract

We study the $3d$ $\mathcal{N}=2$ theories resulting from the compactification of a family of $5d$ SCFTs on a torus with flux in the global symmetry. The family of $5d$ SCFTs used in the analysis is the one that UV completes the $5d$ $SU(N+1)$ gauge theories with Chern--Simons level $k$ and $N_f$ fundamental hypermultiplets, generalizing the previous investigation of the torus compactifications of the rank 1 Seiberg $E_{N_f+1}$ SCFT (which is the $N=1$ member of the family). This construction systematically yields three-dimensional theories presenting highly non-trivial non-perturbative phenomena such as infra-red dualities and enhanced symmetries, which we check using various methods.

arXiv comment87 pages, 24 figures

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• Higher Symmetries of 5d Orbifold SCFTs
• Mixed Anomalies, Two-groups, Non-Invertible Symmetries, and 3d Superconformal Indices
• Web of Seiberg-like dualities for 3d $\mathcal{N}=2$ quivers
• A 5d perspective on the compactifications of 6d SCFTs to 4d $\mathcal{N}=1$ SCFTs
• Trinions for the $3d$ compactification of the $5d$ rank 1 $E_{N_f+1}$ SCFTs
• Aspects of 4d supersymmetric dynamics and geometry
• Schur Connections: Chord Counting, Line Operators, and Indices