U. Suh

activity

20242026

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5 papers · 1 filter

math-ph2026

Poisson structures of deformed $W$ -algebras and classical $W$ -algebras

Dong Jun Choi, Uhi Rinn Suh

In this paper, we explain how classical $W$ -algebras can be obtained as limits of $q$ -deformed $W$ -algebras in type $A$ . To this end, we give a detailed examination of the construc…

math-ph2026

Generalized finite and affine $W$ -algebras in type $A$

Dong Jun Choi, Alexander Molev, Uhi Rinn Suh

We construct a new family of affine $W$ -algebras $W^{k} (I^», I^¼)$ parameterized by partitions $I^»$ and $I^¼$ associated with the centralizers of nilpotent elements in $gl_{N}$ .…

math-ph2025

Weak generators of W-algebras for type $A$

Min Hee Park, Uhi Rinn Suh

In this paper, we find weak generating sets for a classical W-algebra $W^{k} (g, f)$ when $g = sl_{N}$ or $sl_{N_{1} ∣ N_{2}}$ . Furthermore,…

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…

Poisson structures of deformed W-algebras and classical W-algebras

Generalized finite and affine W-algebras in type A

Weak generators of W-algebras for type A

Principal SUSY and nonSUSY W-algebras and their Zhu algebras

Supersymmetries in the theory of W-algebras

Poisson structures of deformed $W$ -algebras and classical $W$ -algebras

Generalized finite and affine $W$ -algebras in type $A$

Weak generators of W-algebras for type $A$