Difference between pair creation and anomaly matching: Nontrivial aspects of invertible symmetries and defects in SU(N) models
The paper contrasts two conditions for relating SU(N) WZW models: pairing and anomaly matching. The pairing condition is stronger, ensuring a canonical link between symmetries and defects, while anomaly matching is weaker. This difference reveals an intrinsic mismatch in how $\mathbb{Z}_{N}$ defects and symmetries are preserved during model reductions.