Cyclic calorons |
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Authors: | Atsushi Nakamula Nobuyuki Sawado |
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Institution: | 1. Department of Physics, School of Science, Kitasato University, Sagamihara, Kanagawa 252-0373, Japan;2. Department of Physics, Tokyo University of Science, Noda, Chiba 278-8510, Japan |
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Abstract: | The Nahm data of periodic instantons, often called calorons, with spatial CN-symmetries are considered, by applying Sutcliffe?s ansatz for the monopoles with CN-symmetries. The bulk data of calorons are shown to enjoy the periodic Toda lattice, and the solutions are given in terms of elliptic theta functions. The case of N=3 calorons are investigated in detail. It is found that the “scale parameters” of these calorons have upper bounds in their values, so that they do not have the large scale, or monopole, limits. The instanton limit of the C3-symmetric caloron is obtained. |
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Keywords: | Anti-self-dual Yang&ndash Mills Nahm constructions Calorons |
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