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8d gauge anomalies and the topological Green-Schwarz mechanism

García-Etxebarria, Iñaki and Hayashi, Hirotaka and Ohmori, Kantaro and Tachikawa, Yuji and Yonekura, Kazuya (2017) '8d gauge anomalies and the topological Green-Schwarz mechanism.', Journal of High Energy Physics, 2017 (11). p. 177.


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.

Item Type:Article
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Publisher 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.
Date accepted:19 November 2017
Date deposited:13 October 2021
Date of first online publication:27 November 2017
Date first made open access:13 October 2021

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