Anomaly and Cobordism Constraints Beyond the Standard Model: Topological Force

Understand

Standard lore uses local anomalies to check the kinematic consistency of gauge theories coupled to chiral fermions, e.g.

• Standard Models (SM).
• Based on a systematic cobordism classification, we examine constraints from invertible quantum anomalies (including all perturbative local and nonperturbative global anomalies) for gauge theories.
• We also clarify the different uses of these anomalies: including (1) anomaly cancellations of dynamical gauge fields, (2) 't Hooft anomaly matching conditions of background fields of global symmetries, and others.