2-Local superderivations on infinite-dimensional Lie superalgebras

AbstractThe 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 W-algebra SW(32,32). It is proved that all 2-local superderivations on these Lie superalgebras are superderivations.2020 MATHEMATICS SUBJECT CLASSIFICATION: 17B4017B6517B68Keywords: Lie superalgebraN = 2 superconformal algebraN = 2 super-Virasoro algebrasuper W-algebra SW(32,32)superderivation2-local superderivation AcknowledgmentsI would like to thank the respected reviewers for their thoughtful comments and efforts toward improving the manuscript.