Physics#Topological Quantum Field Theory, Fermions, Anomalies, Standard Model🔬 ResearchAnalyzed: Jan 3, 2026 06:12
Anomalous TQFTs for Fermionic Systems via Symmetry Extension
Published:Dec 31, 2025 18:36
•1 min read
•ArXiv
Analysis
This paper investigates nonperturbative global anomalies in 4D fermionic systems, particularly Weyl fermions, focusing on mixed gauge-gravitational anomalies. It proposes a symmetry-extension construction to cancel these anomalies using anomalous topological quantum field theories (TQFTs). The key idea is to replace an anomalous fermionic system with a discrete gauge TQFT, offering a new perspective on low-energy physics and potentially addressing issues like the Standard Model's anomalies.
Key Takeaways
Reference
“The paper determines the minimal finite gauge group K of anomalous G-symmetric TQFTs that can match the fermionic anomaly via the symmetry-extension construction.”