16 citations · 75 across the 19 of their papers we have counts for
7 papers · 1 filter
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…
Zhu's algebra and the -algebra of a classically free vertex operator algebra
Bailin Song, Xianlong Zeng
We prove that, for a classically free vertex algebra, the -algebra is naturally isomorphic to the associated graded algebra of Zhu's algebra. As an application, we show that n…
Classical freeness of orthosymplectic affine vertex superalgebras
Thomas Creutzig, Andrew R. Linshaw, Bailin Song
The question of when a vertex algebra is a quantization of the arc space of its associated scheme has recently received a lot of attention in both the mathematics and physics liter…
Simple Vertex Algebras Arising From Congruence Subgroups
Xuanzhong Dai, Bailin Song
Chiral de Rham complex introduced by Malikov et al. in 1998, is a sheaf of vertex algebras on any complex analytic manifold or non-singular algebraic variety. Starting from the ver…
Cosets of free field algebras via arc spaces
Andrew R. Linshaw, Bailin Song
Using the invariant theory of arc spaces, we find minimal strong generating sets for certain cosets of affine vertex algebras inside free field algebras that are related to classic…
The global sections of chiral de Rham complexes on compact Ricci-flat Kähler manifolds
Bailin Song
The space of the global sections of chiral de Rham complex on a compact Ricci-flat Kähler manifold is calculated and it is expressed as an invariant subspace of a system un…