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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク ADHM construction ： ウィキペディア英語版 ADHM construction In mathematical physics, the ADHM construction or monad construction is the construction of all instantons using methods of linear algebra by Michael Atiyah, Vladimir Drinfeld, Nigel Hitchin, Yuri I. Manin in their paper ''Construction of Instantons''. == ADHM data == The ADHM construction uses the following data: * complex vector spaces ''V'' and ''W'' of dimension ''k'' and ''N'', * ''k'' × ''k'' complex matrices ''B''1, ''B''2, a ''k'' × ''N'' complex matrix ''I'' and a ''N'' × ''k'' complex matrix ''J'', * a real moment map $\backslash mu\_r\; =\; ()+()+II^\backslash dagger-J^\backslash dagger\; J,$ * a complex moment map $\backslash displaystyle\backslash mu\_c\; =\; ()+IJ.$ Then the ADHM construction claims that, given certain regularity conditions, * Given ''B''1, ''B''2, ''I'', ''J'' such that $\backslash mu\_r=\backslash mu\_c=0$, an anti-self-dual instanton in a SU(''N'') gauge theory with instanton number ''k'' can be constructed, * All anti-self-dual instantons can be obtained in this way and are in one-to-one correspondence with solutions up to a U(''k'') rotation which acts on each ''B'' in the adjoint representation and on ''I'' and ''J'' via the fundamental and antifundamental representations * The metric on the moduli space of instantons is that inherited from the flat metric on ''B'', ''I'' and ''J''. 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「ADHM construction」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.