Algebraic structures on quasi-primary states in superconformal algebras

Go YAMAMOTO

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Algebraic structures on quasi-primary states in superconformal algebras

机译：超保形代数中准本原态的代数结构

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摘要

Operator Product Expansions give algebraic structures on subspaces of quasi-primary vectors in superconformal algebras. The structures characterize the structures of superconformal algebras if they meet a criteria, while in some cases the spaces of quasi-primary vectors are finite dimensional. As an application the complete list of simple physical conformal superal-gebras is given by classifying the corresponding algebraic structures on finite dimensional vector spaces. The list contains a one-parameter family of superconformal algebras with 4 supercharges that is simple for general values.

机译：算子乘积展开给出超保形代数中准基本向量的子空间的代数结构。如果符合条件，则这些结构可以表征超共形代数的结构，而在某些情况下，准基本向量的空间是有限维的。作为一种应用，通过在有限维向量空间上对相应的代数结构进行分类，可以给出简单的物理共形超级代数的完整列表。该列表包含一个具有4个超级电荷的超保形代数的单参数族，对于一般值而言很简单。

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来源
《Journal of the Mathematical Society of Japan》 |2005年第2期|p.309-332|共24页
作者
Go YAMAMOTO;
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作者单位

NTT Information Sharing Platform Laboratories NTT Corporation 1-1 Hikarinooka, Yokosuka Kanagawa 239-0847 Japan;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
lie algebra; virasoro algebra; superconformal algebra; operator product expansion;

机译：李代数;维拉索罗代数;超保形代数;算子乘积展开;

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1. On the HOPF structure of W-2-algebra and N=1 superconformal algebra in the OPE language [J] . Ozer HT International journal of geometric methods in modern physics . 2006,第7期

机译：OPE语言中W-2-代数和N = 1超保形代数的HOPF结构
2. Left-symmetric superalgebra structures on the &ITN&IT=2 superconformal algebras [J] . Liu Xuewen, Bian Dongping, Guo Xiangqian Communications in algebra . 2018,第3a4期

机译：＆ITN＆IT的左对称超级凝血结构= 2超全代数
3. Lie superbialgebra structures on the N=2 superconformal Neveu-Schwarz algebra [J] . Liu D., Chen L., Zhu L. Journal of geometry and physics . 2012,第4期

机译：N = 2超保形Neveu-Schwarz代数上的Lie超双代数结构
4. CRITICAL D-MODULE REPS FOR FINITE SUPERCONFORMAL ALGEBRAS AND THEIR SUPERCONFORMAL MECHANICS [C] . F. TOPPAN International Colloquium on Group Theoretical Methods in Physics . 2013

机译：用于有限超格式代数及其超格式力学的关键D模块代表
5. Symplectic 3-algebras and D =3, N = 4, 5, 6, 8 superconformal Chern-Simons-matter theories. [D] . Chen, Famin. 2010

机译：辛3代数，D = 3，N = 4、5、6、8超共形的陈-西蒙斯物论。
6. Rota–Baxter operators and post-Lie algebra structures on semisimple Lie algebras [O] . Dietrich Burde, Vsevolod Gubarev -1

机译：半简单李代数上的Rota–Baxter算子和后李代数结构
7. Algebraic structures on quasi-primary states in superconformal algebras [O] . Yamamoto, Go 2000

机译：超共形代数中准初态的代数结构

Algebraic structures on quasi-primary states in superconformal algebras

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