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math-ph2025
Supersymmetries in the theory of W-algebras
Andrew Linshaw, Arim Song, Uhi Rinn Suh
Let be a basic Lie superalgebra and be an odd nilpotent element in an subalgebra of . We provide a mathematical proof of the…
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-ph2024
Free Field Realization of Supersymmetric W-algebras
Arim Song
We show that supersymmetric(SUSY) W-algebra of generic level can be realized as an intersection of the kernels of the screening operators. Applying this result to principal SUSY W-…