Solutions to Yang-Mills field equations in eight dimensions and the last Hopf map期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Solutions to Yang-Mills field equations in eight dimensions and the last Hopf map

Authors:	Bernard Grossman Thomas W Kephart James D Stasheff

Institution:	(1) Physics Department, Rockefeller University, 10021 New York, NY, USA;(2) Physics Department, Purdue University, 47907 West Lafayette, IN, USA;(3) Mathematics Department, University of North Carolina, 27514 Chapel Hill, NC, USA

Abstract:	We will show that the Hopf map $S^{15} \xrightarrow{{S^7 }}S^8$ admits a sourceless, topologically non-trivial gauge field. This result will be cast in the form of a solution to eight dimensional Euclidean Yang-Mills field equations with topological chargeQ=1. This solution is Spin (9) symmetric and leads to a new generalized duality conditionFF=±(FF)*.

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