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8d gauge anomalies and the topological Green-Schwarz mechanism

García-Etxebarria, Iñaki; Hayashi, Hirotaka; Ohmori, Kantaro; Tachikawa, Yuji; Yonekura, Kazuya

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Hirotaka Hayashi

Kantaro Ohmori

Yuji Tachikawa

Kazuya Yonekura


String theory provides us with 8d supersymmetric gauge theory with gauge algebras su(N), so(2N), sp(N), e6, e7 and e8, but no construction for so(2N+1), f4 and g2 is known. In this paper, we show that the theories for f4 and so(2N+1) have a global gauge anomaly associated to πd=8, while g2 does not have it. We argue that the anomaly associated to πd in d-dimensional gauge theories cannot be canceled by topological degrees of freedom in general. We also show that the theories for sp(N) have a subtler gauge anomaly, which we suggest should be canceled by a topological analogue of the GreenSchwarz mechanism.


García-Etxebarria, I., Hayashi, H., Ohmori, K., Tachikawa, Y., & Yonekura, K. (2017). 8d gauge anomalies and the topological Green-Schwarz mechanism. Journal of High Energy Physics, 2017(11), Article 177.

Journal Article Type Article
Acceptance Date Nov 19, 2017
Online Publication Date Nov 27, 2017
Publication Date 2017-11
Deposit Date Oct 11, 2018
Publicly Available Date Oct 13, 2021
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Electronic ISSN 1029-8479
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2017
Issue 11
Article Number 177
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Copyright Statement
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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