Let $ V $ be a vertex operator algebra with a category $\mathcal {C} $ of (generalized)
modules that has vertex tensor category structure, and thus braided tensor category …

We show that there is a braided tensor category structure on the category of C 1-cofinite
modules for the (universal or simple) Virasoro vertex operator algebras of arbitrary central …

Using the tensor category theory developed by Lepowsky, Zhang and the second author, we
construct a braided tensor category structure with a twist on a semisimple category of …

We show that the Kazhdan–Lusztig category of level-finite-length modules with highest-
weight composition factors for the affine Lie superalgebra has vertex algebraic braided …

We show that if V is a vertex operator algebra such that all the irreducible ordinary V-
modules are C_1 C 1-cofinite and all the grading-restricted generalized Verma modules for …

The rank 1 bosonic ghost vertex algebra, also known as the β γ ghosts, symplectic bosons or
Weyl vertex algebra, is a simple example of a conformal field theory which is neither rational …

Huang, Lepowsky and Zhang have developed a module theory for vertex operator algebras
that endows suitably chosen module categories with the structure of braided monoidal …

The B _ p B p-algebras are a family of vertex operator algebras parameterized by p ∈ Z _ ≥
2 p∈ Z≥ 2. They are important examples of logarithmic CFTs and appear as chiral algebras …

We prove a general mirror duality theorem for a subalgebra U of a simple conformal vertex
algebra A and its commutant V= Com A (U). Specifically, we assume that A≌⊕ i∈ IU i⊗ V i …

In this expository note, we compare the fusion product of conformal field theory, as defined
by Gaberdiel and used in the Nahm–Gaberdiel–Kausch (NGK) algorithm, with the P (w) …