Inherited non-invertible duality symmetries in quiver SCFTs

TL;DR

This paper explores the duality symmetries, including non-invertible ones, in certain supersymmetric quiver theories, extending known results to new classes and analyzing their deformations to $ =1$ SCFTs.

Contribution

It systematically characterizes non-invertible duality symmetries in $ =2$ $ ext{A}_n$ and $ ext{D}_n$-shaped quiver SCFTs and studies their preservation under $ =1$ mass deformations.

Findings

Identified non-invertible duality symmetries in $ =2$ quiver SCFTs.

Extended duality group construction to $ ext{D}_n$-shaped quivers.

Found classes of $ =1$ SCFTs inheriting these non-invertible symmetries.

Abstract

We revisit the construction of the duality group for $\mathcal N=2$ $\widehat{A}_n$-shaped quivers SCFTs and generalize it to the previously unexplored case of $\widehat{D}_n$-shaped quivers. We then provide a systematic description of non-invertible duality symmetries in both classes. Furthermore, we characterize the $\mathcal N=1$ mass deformations of these theories that preserve such symmetries, thereby identifying a large class of $\mathcal N=1$ SCFTs with non-invertible duality symmetries inherited from their parent $\mathcal N=2$ theories.