4 papers
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…
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…
On lisse non-admissible minimal and principal W-algebras
Tomoyuki Arakawa, Thomas Creutzig, Kazuya Kawasetsu
We discuss a possible generalization of a result by the third-named author on the rationality of non-admissible minimal W-algebras. We then apply this generalization to finding rat…
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…