16 citations · 18 across the 5 of their papers we have counts for
5 papers
Differential graded vertex Lie algebras
Antoine Caradot, Cuipo Jiang, Zongzhu Lin
This is the continuation of the study of differential graded (dg) vertex algebras previously defined by the authors. The goal of this paper is to construct a functor from the categ…
Differential graded vertex operator algebras and their Poisson algebras
Antoine Caradot, Cuipo Jiang, Zongzhu Lin
In this paper, we define differential graded vertex operator algebras and the algebraic structures on the associated Zhu algebras and -algebras. We also introduce the correspo…
Cohomological varieties associated to vertex operator algebras
Antoine Caradot, Cuipo Jiang, Zongzhu Lin
Given a vertex operator algebra V , one can attach a graded Poisson algebra called the C2-algebra R(V). The associate Poisson scheme provides an important invariant for V and has b…
Yoneda algebras of the triplet vertex operator algebra
Antoine Caradot, Cuipo Jiang, Zongzhu Lin
Given a vertex operator algebra , one can construct two associative algebras, the Zhu algebra and the -algebra . This gives rise to two abelian categories $A(V…
Tensor Decomposition, Parafermions, Level-Rank Duality, and Reciprocity Law for Vertex Operator Algebras
Cuipo, Jiang, Zongzhu Lin
For the semisimple Lie algebra , the basic representation of the affine Lie algebra is a lattice vertex o…