Recent work has shown us a new way to think about systems with an Adler-Bell-Jackiw anomaly, allowing a non-perturbative characterization in terms of non-invertible symmetries. I will explain what this means and briefly review this story. I will present a new kind of non-invertible charge operator where a key role is played by a current operator localized on the charge defect. I’ll show that this construction lets us prove an analogue of Goldstone’s theorem for this system. Based on https://arxiv.org/abs/2211.09570.