3 papers
math-ph2025
Principal SUSY and nonSUSY W-algebras and their Zhu algebras
Naoki Genra, Arim Song, Uhi Rinn Suh
This paper consists of two parts. In the first part, we prove that when is a simple basic Lie superalgebra with a principal odd nilpotent element , the W-algebra…
math.RT2025
Reduction by stages for affine W-algebras
Naoki Genra, Thibault Juillard
Given a pair of nilpotent orbits in a simple Lie algebra, one can associate a pair of vertex algebras called affine W-algebras. Under some compatibility conditions on these orbits,…
math.RT2024
Ordinary modules for vertex algebras of
Thomas Creutzig, Naoki Genra, Andrew Linshaw
We show that the affine vertex superalgebra at generic level embeds in the equivariant -algebra of times free…