What question did this study set out to answer?

To examine bosonic vertex operator algebras associated with certain 3D reductions of Argyres-Douglas theories.

February 13, 2026Open Access

On bosonic vertex algebras associated with 3D reductions of Argyres-Douglas theories

Key Points

To examine bosonic vertex operator algebras associated with certain 3D reductions of Argyres-Douglas theories.
Analyzed 3D N=4 abelian linear quiver gauge theories from 4D N=2 Argyres-Douglas theories.
Explored gauge anomaly cancellation in H-twisted theories.
Conjectured a set of strong generators for the bosonic vertex operator algebras.
Identified that the bosonic VOAs contain more than just the Virasoro tensor.
Discovered that these VOAs include the W 3 vertex algebra as sub algebras at c = -2.

Abstract

A bstract We study the bosonic VOA associated with the 3D N=4 N = 4 abelian linear quiver gauge theories arising from compactifying 4D N=2 N = 2 Argyres-Douglas theories of (A 1, A 2 n −1) and (A 1, D 2 n) types. These VOAs are obtained by canceling the gauge anomaly of the H-twisted 3D theory on the half-space by Heisenberg algebras on the boundary. We particularly conjecture a complete set of strong generators of these bosonic VOAs, which contains more than the Virasoro stress tensor and those arising from Higgs branch operators. We also find that these bosonic VOAs contain copies of the W 3 vertex algebra at c = −2 as sub vertex algebras.

Bookmark

View Full Paper