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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 Adinkra symbols (physics) ： ウィキペディア英語版 Adinkra symbols (physics) In supergravity theory and supersymmetric representation theory, Adinkra symbols are a graphical representation of supersymmetric algebras.〔S. James Gates Jr.: "(Superstring Theory: The DNA of Reality )" (The Teaching Company)〕〔S.J. Gates, Jr.: "(Symbols of Power, Physics World, Vol. 23, No 6, June 2010, pp. 34 - 39" )〕〔S.J. Gates, Jr.: "(Quarks to Cosmos )"〕〔 S.J. Gates, Jr., and T. Hubsch, "(On Dimensional Extension of Supersymmetry: From Worldlines to Worldsheets )"〕 Mathematically they can be described as colored finite connected simple graphs, that are bipartite and n-regular.〔http://arxiv.org/pdf/1111.6055.pdf〕 Their name is derived from West African symbols of the same name (Adinkra).〔http://www.onbeing.org/blog/symbols-power-adinkras-and-nature-reality/2438〕 One approach to the representation theory of super Lie algebras is to restrict attention to representations in one space-time dimension and having $N$ supersymmetry generators, i.e., to $(1|N)$ superalgebras. In that case, the defining algebraic relationship among the supersymmetry generators reduces to :$\backslash \; =\; 2\; i\; \backslash delta\; \_\; \backslash partial\_\backslash tau$. Here $\backslash partial\_\backslash tau$ denotes partial differentiation along the single space-time coordinate. One simple realization of the $(1|1)$ algebra consists of a single bosonic field $\backslash phi$, a fermionic field $\backslash psi$, and a generator $Q$ which acts as :$Q\; \backslash phi=\; i\; \backslash psi$, :$Q\; \backslash psi=\; \backslash partial\_\backslash tau\; \backslash phi$. ==References== 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「Adinkra symbols (physics)」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.