Left-symmetric superalgebra structures on the N = 2 superconformal algebras |
| |
| Authors: | Xuewen Liu Dongping Bian Xiangqian Guo |
| |
| Institution: | 1. School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu, P. R. China;2. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, Henan, P. R. China;3. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, Henan, P. R. China |
| |
| Abstract: | The super-Virasoro algebras, also known as the superconformal algebras, are nontrivial graded extensions of the Virasoro algebra to Lie superalgebra version. In this paper, we classify the compatible left-symmetric superalgebra structures on the N = 2 Ramond and Neveu–Schwarz superconformal algebras under certain conditions, which generalizes the corresponding results for the Witt, Virasoro and super Virasoro algebras. |
| |
| Keywords: | N = 2 Neveu-Schwarz superconformal algebra N = 2 Ramond superconformal algebra left-symmetric algebra left-symmetric superalgebra Virasoro algebra |
|
|
