期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 11, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP11(2017)177
关键词
Anomalies in Field and String Theories; Extended Supersymmetry; Field Theories in Higher Dimensions
资金
- Institute for Advanced Study
- JSPS KAKENHI [17H04837, 16H06335, 17K14265]
- WPI Initiative
- MEXT, Japan at IPMU
- University of Tokyo
- WPI Research Center Initiative (MEXT, Japan)
- Grants-in-Aid for Scientific Research [16H06335, 17K14265] Funding Source: KAKEN
String theory provides us with 8d supersymmetric gauge theory with gauge algebras su(N), so(2N), sp(N), e(6), e(7) and e(8), but no construction for so(2N+1), f(4) and g(2) is known. In this paper, we show that the theories for f(4) and so(2N+1) have a global gauge anomaly associated to pi(d=8), while g(2) does not have it. We argue that the anomaly associated to pi(d) 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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