8 papers
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.
Standard monomials and invariant theory for arc spaces III: special linear group
Andrew R. Linshaw, Bailin Song
This is the third in a series of papers on standard monomial theory and invariant theory of arc spaces. For any algebraically closed field , we prove the arc space analogue of t…
Standard monomials and invariant theory for arc spaces I: general linear group
Andrew R. Linshaw, Bailin Song
This is the first in a series of papers on standard monomial theory and invariant theory of arc spaces. For any algebraically closed field , we construct a standard monomial bas…
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…