16 citations · 75 across the 19 of their papers we have counts for
21 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…
Feigin-Semikhatov duality at the critical level
Thomas Creutzig, Xuanzhong Dai, Bailin Song
The Feigin-Semikhatov duality asserts that the Heisenberg cosets of the subregular -algebra of at level and the one of the principal -superalgebra of $\…
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…
The Global Sections of Chiral de Rham Complexes on Closed Complex Curves
Bailin Song, Wujie Xie
The space of global sections of the chiral de Rham complex on any closed complex curve with genus is calculated.
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…