TY - JOUR
T1 - 8d gauge anomalies and the topological Green-Schwarz mechanism
AU - García-Etxebarria, Iñaki
AU - Hayashi, Hirotaka
AU - Ohmori, Kantaro
AU - Tachikawa, Yuji
AU - Yonekura, Kazuya
N1 - Funding Information:
Article funded by SCOAP3.
Publisher Copyright:
© 2017, The Author(s).
PY - 2017/11/1
Y1 - 2017/11/1
N2 - 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.
AB - 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.
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U2 - 10.1007/JHEP11(2017)177
DO - 10.1007/JHEP11(2017)177
M3 - Article
AN - SCOPUS:85036623449
SN - 1126-6708
VL - 2017
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 11
M1 - 177
ER -