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Global anomalies in Yang-Mills theories in higher dimensions
Affiliation:1. Department of Criminal Justice, Kutztown University, Kutztown, PA 19530, USA;2. Department of Psychology, University of New Mexico & The nonprofit Mind Research Network, An Affiliate of Lovelace Biomedical and Environmental Research Institute, Albuquerque, NM 87131, USA;1. Key Laboratory of Physics and Technology for Advanced Batteries, Ministry of Education, College of Physics, Jilin University, Changchun 130012, PR China;2. College of Life Sciences, Jilin University, Changchun 130012, PR China;3. Nagahama Institute of Bio-Science and Technology, Nagahama, Shiga 526-0829, Japan;4. Graduate School of Life Sciences, Ritsumeikan University, Kusatsu, Shiga 525-8577, Japan;5. Department of Chemical and Materials Engineering, National Central University, Taoyuan 32001, Taiwan;6. State Key Laboratory of Supramolecular Structure and Materials, Jilin University, Changchun 130012, PR China
Abstract:
A general method is described for finding a class of fermion representations that can lead to Z2 anomalies. These anomalies are shown to exist in arbitrary D = 4k dimensions. Examples are given.
Keywords:
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