Speaker
Description
In this talk, we discuss new symmetries of the Cardy-Rabinovici model and their applications. The Cardy-Rabinovici model is the 4d $U (1)$ gauge theory with electric and magnetic matters, and it is a good playground for studying the dynamics of 4d gauge theories. Although this model is not invariant under the $SL(2,\mathbb{Z})$ electromagnetic transformations strictly, we can realize these transformations as dualities by gauging the $\mathbb{Z}_N$ 1-form symmetry, from which we can construct noninvertible symmetry defects at self-dual points. As an application, we show that the mixed gravitational anomaly of this symmetry rules out the trivially gapped vacuum for some parameters. We also reveal how the conjectured phase diagram of the Cardy-Rabinovici model is consistent with this anomaly. This talk is based on arXiv:2204.07440.
