8d gauge anomalies and the topological Green-Schwarz mechanism

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

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Abstract

String theory provides us with 8d supersymmetric gauge theory with gauge algebras su(N),so(2N),sp(N),e6,e7ande8, but no construction for so(2 N+ 1) , f4 and g2 is known. In this paper, we show that the theories for f4 and so(2 N+ 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 Green-Schwarz mechanism.

Original languageEnglish
Article number177
JournalJournal of High Energy Physics
Volume2017
Issue number11
DOIs
Publication statusPublished - Nov 1 2017

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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    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), [177]. https://doi.org/10.1007/JHEP11(2017)177