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math.QA2026
Modular invariance of characters of quasi-lisse vertex algebras
Tomoyuki Arakawa, Jethro van Ekeren, Hao Li
We study spaces of conformal blocks associated with line bundles over elliptic curves, with coefficients in a vertex algebra. For vertex algebras satisfying suitable finiteness and…
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…