From Self-Dual to Physical $\mathbb{C}P^{N-1}$: Anomalies, Boundary Stokes Phenomenon, and Global Structure of $\theta$-vacua
We introduce a two-coupling generalization of $\mathbb{C}P^{N-1}$ model that continuously interpolates between the self-dual ($\epsilon=0$) and the physical ($\epsilon=g$) theories as a useful nonperturbative tool. At $\epsilon \neq g$, this model possesses a chiral imbalance, which may be viewed as a real topological...