Flavor Symmetry of 5d SCFTs, Part 2: Applications

TL;DR

This paper applies a previously developed method to determine flavor symmetries of 5d SCFTs, especially focusing on symmetry enhancements at conformal points when these theories relate to 5d gauge theories.

Contribution

It extends the method from Part 1 to explicitly compute flavor symmetry enhancements in 5d SCFTs related to gauge theories.

Findings

Determined flavor symmetries for specific 5d SCFTs.

Identified cases of symmetry enhancement at conformal points.

Validated the method through explicit examples.

Abstract

In Part 1 of this series of papers, we described a general method for determining the flavor symmetry of any 5d SCFT which can be constructed by integrating out BPS particles from some 6d SCFT compactified on a circle. In this part, we apply the method to explicitly determine the flavor symmetry of those 5d SCFTs which reduce, upon a mass deformation, to some 5d N=1 gauge theory carrying a simple gauge algebra. In these cases, the flavor symmetry of the 5d gauge theory is often enhanced at the conformal point. We use our method to determine this enhancement.