6 papers
A new -action on the rank-two -system
Tomoyuki Arakawa, Xuanzhong Dai, Bailin Song
We construct an explicit rational \(\mathrm{SL}_2(\mathbb C)\)-action on the underlying vector space of the rank-two \(βγ\)-system. The construction is motivated by Creutzig's bran…
Classical freeness of affine vertex algebras of at boundary admissible levels
Tomoyuki Arakawa, Xuanzhong Dai
We prove that the simple affine vertex algebra is classically free at the boundary admissible level, which confirms a conjecture of Andrews, van Ekeren, and…
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…