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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 N = 1 supersymmetry algebra in 1 + 1 dimensions ： ウィキペディア英語版 N = 1 supersymmetry algebra in 1 + 1 dimensions In 1 + 1 dimensions the ''N'' = 1 supersymmetry algebra (also known as $\backslash mathcal=(1,1)$ because we have one left-moving SUSY generator and one right moving one) has the following generators: :supersymmetric charges: $Q,\; \backslash bar$ :supersymmetric central charge: $Z\backslash ,$ :time translation generator: $H\backslash ,$ :space translation generator: $P\backslash ,$ :boost generator: $N\backslash ,$ :fermionic parity: $\backslash Gamma\backslash ,$ :unit element: $I\backslash ,$ The following relations are satisfied by the generators: :$\backslash begin$ & \ =2I && \ =0 && \ =0\\ &\=2Z && \=2(H+P) && \ \} =2(H-P) \\ & ()=\frac Q && ()=-\frac \bar && =H+P && ()=-(H-P) && \end $Z\backslash ,$ is a central element. The supersymmetry algebra admits a $\backslash mathbb\_2$-grading. The generators $H,\; P,\; N,\; Z,\; I\backslash ,$ are even (degree 0), the generators $Q,\; \backslash bar,\; \backslash Gamma\backslash ,$ are odd (degree 1). 2(''H'' − ''P'') gives the left-moving momentum and 2(''H'' + ''P'') the right-moving momentum. Basic representations of this algebra are the vacuum, kink and boson-fermion representations, which are relevant e.g. to the supersymmetric (quantum) sine-Gordon model. ==References== * K. Schoutens, Supersymmetry and factorized scattering, Nucl.Phys. B344, 665–695, 1990 *T.J. Hollowood, E. Mavrikis, The ''N'' = 1 supersymmetric bootstrap and Lie algebras, Nucl. Phys. B484, 631–652, 1997, arXiv:hep-th/9606116 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「N = 1 supersymmetry algebra in 1 + 1 dimensions」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.