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In mathematics, the Bogomolny equations for magnetic monopoles are the equations ''F''''A'' = *''D''''A''''φ'', where ''F''''A'' is the curvature of a connection ''A'' on a ''G''-bundle over a 3-manifold ''M'', ''φ'' is a section of the corresponding adjoint bundle and * is the Hodge star operator on ''M''. These equations are named after E. B. Bogomolny. The equations are a dimensional reduction of the self-dual Yang–Mills equations in four dimensions and correspond to global minima of the appropriate action. If M is closed there are only trivial (i.e., flat) solutions. ==See also== *Monopole moduli space 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Bogomolny equations」の詳細全文を読む スポンサード リンク
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