8d gauge anomalies and the topological Green-Schwarz mechanism

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

Abstract

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.

Citation

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. https://doi.org/10.1007/jhep11%282017%29177

• 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
• DOI: https://doi.org/10.1007/jhep11%282017%29177
• Public URL: https://durham-repository.worktribe.com/output/1312225
• Related Public URLs: https://arxiv.org/abs/1710.04218