English

Revisiting Wess-Zumino-Witten terms

High Energy Physics - Theory 2021-03-10 v2 Strongly Correlated Electrons

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.

Keywords

Cite

@article{arxiv.2009.00033,
  title  = {Revisiting Wess-Zumino-Witten terms},
  author = {Yasunori Lee and Kantaro Ohmori and Yuji Tachikawa},
  journal= {arXiv preprint arXiv:2009.00033},
  year   = {2021}
}

Comments

59 pages; v2: minor changes

R2 v1 2026-06-23T18:13:16.142Z