A. Linshaw

works on

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

From the 1 of 13 linked papers with an AI index.

activity

20242026

collaborators

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5 papers · 1 filter

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.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…

math.RT2024

Ordinary modules for vertex algebras of $osp_{1∣2 n}$

Thomas Creutzig, Naoki Genra, Andrew Linshaw

We show that the affine vertex superalgebra $V^{k} (osp_{1∣2 n})$ at generic level $k$ embeds in the equivariant $W$ -algebra of $sp_{2 n}$ times $4 n$ free…

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

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

Ordinary modules for vertex algebras of osp1∣2n​

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

Ordinary modules for vertex algebras of $osp_{1∣2 n}$