Revisiting Wess-Zumino-Witten terms
Yasunori Lee, Kantaro Ohmori, Yuji Tachikawa
Abstract
We revisit various topological issues concerning four-dimensional ungauged and gauged Wess-Zumino-Witten (WZW) terms for SU and SO quantum chromodynamics (QCD), from the modern bordism point of view. We explain, for example, why the definition of the 4d WZW terms requires the spin structure. We also discuss how the mixed anomaly involving the 1-form symmetry of SO QCD is reproduced in the low-energy sigma model.
Topics & Concepts
Quantum chromodynamicsPhysicsTheoretical physicsSigmaSymmetry (geometry)Point (geometry)Anomaly (physics)Spin (aerodynamics)Measure (data warehouse)QuantumSigma modelMathematicsQuantum field theoryQuantum mechanicsMathematical physicsMixed anomalyFixed pointBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesParticle physics theoretical and experimental studies