Global symmetries in four and higher dimensions |
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| Affiliation: | 1. Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, 79104 Freiburg, Germany;2. Humboldt-Universität zu Berlin, Institut für Physik, Newtonstraße 15, 12489, Berlin, Germany;3. Hamilton Mathematics Institute, Trinity College Dublin, College Green, Dublin 2, Ireland;1. Department of Mathematics, Department of Physics and Department of Chemistry, Duke University, Durham NC 27708, USA;2. Department of Mathematics and Statistics, University of Massachusetts Amherst, Amherst, MA 01003, USA;3. Beijing International Center of Mathematical Research, Peking University, Beijing 100871, PR China;1. NRC Kurchatov Institute - ITEP, Moscow, Russia;2. MIPT, Dolgoprudny, 141701, Russia;3. Lebedev Physics Institute, Moscow 119991, Russia;4. Institute for Information Transmission Problems, Moscow 127994, Russia;5. Institute for Theoretical and Mathematical Physics, Lomonosov Moscow State University, 119991 Moscow, Russia;1. Genesys Regional Medical Center, Genesys Trauma Services, Grand Blanc, MI, USA;2. Michigan Neurosurgical Institute, PC, Grand Blanc, MI, USA;3. Genesys Regional Medical Center, Department of Research, Grand Blanc, MI, USA |
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| Abstract: | Knowing that a four-dimensional theory with gauge group G0 is unified in theory with gauge group G puts restrictions on what global symmetries are possible in the low-energy world. Here we analyze those restrictions assuming that unification in G occurs inn four dimensions and assuming that unification occurs only in a higher-dimensional theory. There are possibilities for global symmetries which are not possible in the former case, so in principle indirect evidence for higher dimensions might be found by finding peculiar global symmetries in the low-energy world. |
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