Ari Song

collaborators

3 papers

math.RT2026

Universal $2$ -parameter $N = 2$ supersymmetric $W_{\infty}$ -algebra

Thomas Creutzig, Volodymyr Kovalchuk, Andrew R. Linshaw +2

The universal $2$ -parameter vertex algebra $W_{\infty}$ of type $W (2, 3, \dots)$ is a classifying object for vertex algebras of type $W (2, 3, \dots, N)$ fo…

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 $g$ is a simple basic Lie superalgebra with a principal odd nilpotent element $f$ , the W-algebra…

math-ph2025

Supersymmetries in the theory of W-algebras

Andrew Linshaw, Arim Song, Uhi Rinn Suh

Let $g$ be a basic Lie superalgebra and $f$ be an odd nilpotent element in an $osp (1∣2)$ subalgebra of $g$ . We provide a mathematical proof of the…

Universal 2-parameter N=2 supersymmetric W∞​-algebra

Principal SUSY and nonSUSY W-algebras and their Zhu algebras

Supersymmetries in the theory of W-algebras

Universal $2$ -parameter $N = 2$ supersymmetric $W_{\infty}$ -algebra