翻訳と辞書 Words near each other ・ M’possa ・ M・A・D (Buck-Tick song) ・ N ・ N (album) ・ N (disambiguation) ・ N (kana) ・ N (Los Angeles Railway) ・ N (New York City Subway service) ・ N (Poland) ・ N (singer) ・ N (video game) ・ N 10 .. ・ N 180B ・ N 2 Gether Now ・ N = 1 supersymmetry algebra in 1 + 1 dimensions ・ N = 2 superconformal algebra ・ N = 4 supersymmetric Yang–Mills theory ・ N b jattan ・ N band ・ N battery ・ N Battery (The Eagle Troop) Royal Horse Artillery ・ N Bhaskar Rao ・ N Brown Group ・ N cap ・ N Carinae ・ N Centauri ・ N Choe ・ N class ・ N conjecture ・ N connector Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク N = 2 superconformal algebra ： ウィキペディア英語版 N = 2 superconformal algebra In mathematical physics, the ''N'' = 2 superconformal algebra is an infinite-dimensional Lie superalgebra, related to supersymmetry, that occurs in string theory and conformal field theory. It has important applications in mirror symmetry. It was introduced by as a gauge algebra of the U(1) fermionic string. ==Definition== There are two slightly different ways to describe the ''N'' = 2 superconformal algebra, called the ''N'' = 2 Ramond algebra and the ''N'' = 2 Neveu–Schwarz algebra, which are isomorphic (see below) but differ in the choice of standard basis. The ''N'' = 2 superconformal algebra is the Lie superalgebra with basis of even elements ''c'', ''L''''n'', ''J''''n'', for ''n'' an integer, and odd elements ''G'', ''G'', where $r\backslash in$ (for the Ramond basis) or $r\backslash in\; +$ (for the Neveu–Schwarz basis) defined by the following relations: ::''c'' is in the center ::$\backslash displaystyle\; (m^3-m)\; \backslash delta\_\}$ ::$\backslash displaystyle\; m\backslash delta\_\}$ ::$\backslash displaystyle\; +(r-s)J\_\; +\; (r^2-)\; \backslash delta\_\; \}$ ::$\backslash displaystyle\}$ ::$\backslash displaystyle">)=(-r)\; G^\backslash pm\_\}$ ::$\backslash displaystyle$ If $r,s\backslash in$ in these relations, this yields the ''N'' = 2 Ramond algebra; while if $r,s\backslash in\; +$ are half-integers, it gives the ''N'' = 2 Neveu–Schwarz algebra. The operators $L\_n$ generate a Lie subalgebra isomorphic to the Virasoro algebra. Together with the operators $G\_r=G\_r^+\; +\; G\_r^-$, they generate a Lie superalgebra isomorphic to the super Virasoro algebra, giving the Ramond algebra if $r,s$ are integers and the Neveu–Schwarz algebra otherwise. When represented as operators on a complex inner product space, $c$ is taken to act as multiplication by a real scalar, denoted by the same letter and called the ''central charge'', and the adjoint structure is as follows: :$\backslash displaystyle,\; \backslash ,\backslash ,(G\_r^\backslash pm)^$ *=G_^\mp, \,\,c^ *=c} 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 = 2 superconformal algebra」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.