Duality and enhancement of symmetry in 5d gauge theories

TL;DR

This paper investigates dualities in 5d supersymmetric gauge theories, demonstrating symmetry enhancements via brane webs and superconformal index comparisons, including cases with exceptional group G2 enhancement.

Contribution

It provides new evidence for dualities in 5d gauge theories and reveals symmetry enhancements, notably to the exceptional group G2, using brane web constructions and superconformal indices.

Findings

Dualities between 5d supersymmetric gauge theories are supported.

Classical global symmetries are enhanced by instantons.

Symmetry enhancement to the exceptional group G2 is observed.

Abstract

We study various cases of dualities between $\cal{N}$$=1$ 5d supersymmetric gauge theories. We motivate the dualities using brane webs, and provide evidence for them by comparing the superconformal index. In many cases we find that the classical global symmetry is enhanced by instantons to a larger group including one where the enhancement is to the exceptional group $G_2$.