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

TL;DR

This paper explores the compactification of 5d SCFTs related to SU(N+1) gauge theories on a torus, revealing complex 3d theories with dualities and symmetry enhancements through systematic analysis.

Contribution

It provides a systematic study of 3d theories from 5d SCFTs associated with SU(N+1) gauge theories, extending previous work on rank 1 cases and uncovering new non-perturbative phenomena.

Findings

Discovery of IR dualities in the resulting 3d theories

Evidence of symmetry enhancement in the compactified theories

Systematic construction method for 3d theories from 5d SCFTs

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.