Non-invertible self-duality defects of Cardy-Rabinovici model and mixed gravitational anomaly

Yui Hayashi, Yuya Tanizaki

We study properties of self-duality symmetry in the Cardy-Rabinovici model. The Cardy-Rabinovici model is the $4$d $U(1)$ gauge theory with electric and magnetic matters, and it en…