An intertwining between conformal dualities and ordinary dualities

TL;DR

This paper reinterprets a 4d conformal triality through the lens of Seiberg duality, revealing how a non-abelian global symmetry manifests in two phases and confirming findings via superconformal index matching.

Contribution

It provides a novel reinterpretation of conformal triality using ordinary dualities and clarifies the role of global symmetries in these phases.

Findings

Global symmetry explicitly realized in two phases

Superconformal index matches across phases

Reinterpretation links conformal triality to Seiberg duality

Abstract

We discuss and reinterpret a 4d conformal triality recently discovered in the literature in terms of ordinary Seiberg duality. We observe that a non-abelian global symmetry is explicitly realized by only two out of the three phase. We corroborate the result by matching the superconformal index in terms of an expansion on the fugacities.