A. Linshaw

activity

20052026

most citedW-algebras as coset vertex algebras

94 citations · 869 across the 57 of their papers we have counts for

collaborators

58 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.QA2026

Deformation rigidity of some simple affine VOAs

Andrew R. Linshaw, Fei Qi

In this paper, we prove that simple affine vertex operator algebras with positive integral levels admit only trivial first-order deformations. Therefore, the deformation rigidity c…

math.QA2025

New universal vertex algebras as glueings of the basic ones

Thomas Creutzig, Vladimir Kovalchuk, Andrew R. Linshaw

There are three universal $2$ -parameter vertex algebras $W_{\infty}$ , $W_{\infty}^{ev}$ , and $W_{\infty}^{sp}$ which are freely gene…

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…

math.QA2025

W-algebras as conformal extensions of affine VOAs

Dražen Adamović, Tomoyuki Arakawa, Thomas Creutzig +4

We provide a criterion for a vertex operator superalgebra homomorphism from an affine vertex algebra to another vertex superalgebra to be conformal, and an additional criterion tha…

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…