A. Linshaw

works on

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

From the 1 of 10 linked papers with an AI index.

activity

20242026

collaborators

10 papers

math.QA2026

W-algebras as conformal extensions of affine VOAs

DraÅ¾en AdamoviÄ, Tomoyuki Arakawa, Thomas Creutzig +4

The paper establishes criteria for when a homomorphism from an affine vertex algebra to another vertex superalgebra is conformal and surjective, and applies these criteria to W‑alg…

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.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-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…