2-Local superderivations on infinite-dimensional Lie superalgebras

Abstract

The present paper is devoted to studying 2-local superderivations on the twisted N = 2 superconformal algebra, the Ramond N = 2 super-Virasoro algebra and the super $\mathcal{W}$-algebra $\mathcal{S}\mathcal{W}(\frac{3}{2},\frac{3}{2})$. It is proved that all 2-local superderivations on these Lie superalgebras are superderivations.

2020 MATHEMATICS SUBJECT CLASSIFICATION:

• 17B40
• 17B65
• 17B68

Keywords:

• Lie superalgebra
• N = 2 superconformal algebra
• N = 2 super-Virasoro algebra
• super $\mathcal{W}$-algebra $\mathcal{S}\mathcal{W}(\frac{3}{2},\frac{3}{2})$
• superderivation
• 2-local superderivation

Acknowledgments

I would like to thank the respected reviewers for their thoughtful comments and efforts toward improving the manuscript.