Revisiting Wess-Zumino-Witten terms

Lee, Yasunori; Ohmori, Kantaro; Tachikawa, Yuji

doi:10.21468/SciPostPhys.10.3.061

SciPost Physics

Revisiting Wess-Zumino-Witten terms

Yasunori Lee, Kantaro Ohmori, Yuji Tachikawa

SciPost Phys. 10, 061 (2021) · published 10 March 2021

doi: 10.21468/SciPostPhys.10.3.061
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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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.10.3.061
TI  - Revisiting Wess-Zumino-Witten terms
PY  - 2021/03/10
UR  - https://scipost.org/SciPostPhys.10.3.061
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 10
IS  - 3
SP  - 061
A1  - Lee, Yasunori
AU  - Ohmori, Kantaro
AU  - Tachikawa, Yuji
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.10.3.061,
	title={{Revisiting Wess-Zumino-Witten terms}},
	author={Yasunori Lee and Kantaro Ohmori and Yuji Tachikawa},
	journal={SciPost Phys.},
	volume={10},
	pages={061},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.10.3.061},
	url={https://scipost.org/10.21468/SciPostPhys.10.3.061},
}

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