affine algebras 1conformal extensions 1representation theory 1vertex operator algebras 1w-algebras 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.QA2026
W-algebras as conformal extensions of affine VOAs
Dražen 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.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.RT2024
On some simple orbifold affine VOAs at non-admissible level arising from rank one 4D SCFTs
Tomoyuki Arakawa, Xuanzhong Dai, Justine Fasquel +2
We study the representations of some simple affine vertex algebras at non-admissible level arising from rank one 4D SCFTs. In particular, we classify the irreducible highest weight…