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

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20242026
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math.QA2026

W-algebras as conformal extensions of affine VOAs

Dražen Adamović, 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…