T. Creutzig

works on

affine algebras 1 conformal extensions 1 representation theory 1 vertex operator algebras 1 w-algebras 1

From the 1 of 20 linked papers with an AI index.

activity

20242026

collaborators

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8 papers · 1 filter

math.RT2026

Feigin-Semikhatov duality at the critical level

Thomas Creutzig, Xuanzhong Dai, Bailin Song

The Feigin-Semikhatov duality asserts that the Heisenberg cosets of the subregular $W$ -algebra of $sl_{n}$ at level $k$ and the one of the principal $W$ -superalgebra of $\…

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.RT2026

The Kazhdan-Lusztig category of W-algebras of simply-laced Lie algebras at irrational levels

Thomas Creutzig, Gurbir Dhillon, Shigenori Nakatsuka

Let $g$ be a simple, simply-laced Lie algebra and $f \in g$ nilpotent. The Kazhdan-Lusztig category of the W-algebra $W^{I^} º (g, f)$ associated with $(…

math.RT2025

Building blocks for $W$ -algebras of classical types

Thomas Creutzig, Vladimir Kovalchuk, Andrew R. Linshaw

The universal $2$ -parameter vertex algebra $W_{\infty}$ of type $W (2, 3, 4, \dots)$ serves as a classifying object for vertex algebras of type $W (2, 3, \dots, N)$ for some $N$ in the sen…

math.RT2025

Minimal W-algebras of $so_{N}$ at level minus one

Thomas Creutzig, Justine Fasquel, Vladimir Kovalchuk +2

For $N \in Z_{\geq 7}$ we show that the simple minimal $W$ -algebra of $so_{N}$ at level minus one is isomorphic to the even subalgebra of the tensor produ…

math.RT2024

On the structure of W-algebras in type A

Thomas Creutzig, Justine Fasquel, Andrew R. Linshaw +1

We formulate and prove examples of a conjecture which describes the W-algebras in type A as successive quantum Hamiltonian reductions of affine vertex algebras associated with seve…

Feigin-Semikhatov duality at the critical level

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

The Kazhdan-Lusztig category of W-algebras of simply-laced Lie algebras at irrational levels

Building blocks for W-algebras of classical types

Minimal W-algebras of soN​ at level minus one

On the structure of W-algebras in type A

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

Building blocks for $W$ -algebras of classical types

Minimal W-algebras of $so_{N}$ at level minus one