Yuya Tanizaki (Kyoto University)

Abstract: Confinement is one of the most important but basic features of non-Abelian gauge theories, and an intuitive and interesting scenario of its dynamics is condensation of magnetic monopoles. When we add the topological theta term to it, more exotic condensations may appear, which are called oblique confinement phases. In a 4d lattice model proposed by Cardy and Rabinovici, such interesting phases can be explicitly realized. In this talk, I will uncover its topological nature based on the recent applications of ‘t Hooft anomaly matching. Moreover, it has been known that the local dynamics of Cardy-Rabinovici model shows the SL(2,Z) self-duality, but it turns out that the self-duality does not extend to the global aspect of the original theory. We cooked up a SL(2,Z) self-dual theory by gauging a part of the 1-form symmetry of the Cardy-Rabinovici model, and the self-duality has a mixed gravitational anomaly. These data give useful constraints to discuss the phase diagram.