Comments on the N = 2,3,4 superconformal algebras in two dimensions
Comments on the N = 2,3,4 superconformal algebras in two dimensions
复制标题
DOI：
10.1016/0370-2693(87)90566-1
复制
发表时间：
1987-01
影响因子：
4.4
通讯作者：
A. Schwimmer;N. Seiberg
中科院分区：
文献类型：
--
作者：
A. Schwimmer;N. Seiberg
我们讨论二维的扩展超共形代数（SCA）。提出了不同代数的一般分类。结果表明 Neveu-Schwarz 和 Ramond N = 2 SCA 是等效的。我们找到两个 N = 3 SCA 并讨论它们的表示。展示了这些代数以一个玻色子和一个费米子 (c = 3 2) 表示的一元最高权重表示。我们还发现了无限组 N = 4 SCA，并对它们的表示进行了评论。
We discuss the extended superconformal algebras (SCA's) in two dimensions. A general classification of the different algebras is presented. It is shown that the Neveu-Schwarz and the Ramond N = 2 SCA's are equivalent. We find two N = 3 SCA's and discuss their representations. Unitary highest weight representations of these algebras in terms of one boson and one fermion (c = 3 2 are exhibited. We also find an infinite set of N = 4 SCA's and we comment on their representations.