Inherited non-invertible duality symmetries in quiver SCFTs

Abstract

We revisit the construction of the duality group for $\mathcal{N}=2$ ${\hat{A}}_n$-shaped quivers SCFTs and generalize it to the previously unexplored case of ${\hat{D}}_n$-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.

44 pages, 16 figures, v2: minor improvements, v3: final version