Abstract

We revisit various topological issues concerning four-dimensional ungauged and gauged Wess-Zumino-Witten (WZW) terms for SUSU and SOSO quantum chromodynamics (QCD), from the modern bordism point of view. We explain, for example, why the definition of the 4d4d WZW terms requires the spin structure. We also discuss how the mixed anomaly involving the 1-form symmetry of SOSO QCD is reproduced in the low-energy sigma model.

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