W-algebras as conformal extensions of affine VOAs

Adamović D, Arakawa T, Creutzig T, Linshaw AR, Moreau A, Möseneder Frajria P, Papi P (2026)

Publication Type: Journal article

Publication year: 2026

Journal

Advances in Mathematics Elsevier

Book Volume: 503

Article Number: 111266

DOI: 10.1016/j.aim.2026.111266

Abstract

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 that guarantees that this homomorphism is surjective. This situation is applied to W-algebras and W-superalgebras and we list all cases where our criterion applies. This gives many new examples of W-algebras that collapse to affine vertex algebras or are conformal extensions. In particular, we provide many examples of simple W-algebras at non-admissible levels that collapse to admissible level affine vertex algebras.

Authors with CRIS profile

Thomas Creutzig Lehrstuhl für Darstellungstheorie

Involved external institutions

Université Paris-Saclay FR France (FR) Politecnico di Milano IT Italy (IT) University of Zagreb / Sveučilište u Zagrebu HR Croatia (HR) Okinawa Institute of Science and Technology (OIST) / 沖縄科学技術大学院大学 JP Japan (JP) University of Denver US United States (USA) (US) Università degli studi "La Sapienza" IT Italy (IT)

How to cite

APA:

Adamović, D., Arakawa, T., Creutzig, T., Linshaw, A.R., Moreau, A., Möseneder Frajria, P., & Papi, P. (2026). W-algebras as conformal extensions of affine VOAs. Advances in Mathematics, 503. https://doi.org/10.1016/j.aim.2026.111266

MLA:

Adamović, Dražen, et al. "W-algebras as conformal extensions of affine VOAs." Advances in Mathematics 503 (2026).

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