Stacking Group Structure of 't Hooft Anomalies and Fermionic Topological Phases

Explore the intricate relationship between 't Hooft anomalies and fermionic topological phases in this one-hour conference talk by Qing-Rui Wang at BIMSA. Delve into the Abelian group structure that emerges when stacking quantum field theories and its implications for 't Hooft anomalies. Examine the explicit derivation of this Abelian group law in lower dimensions for fermionic systems with arbitrary symmetry groups. Gain insights into how this group structure simplifies to known spin bordism results for unitary and direct-product symmetry groups. Enhance your understanding of the fundamental connections between anomalies in quantum field theory and symmetry-protected topological phases in higher dimensions.