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 …

The boson-fermion correspondences are an important phenomena on the intersection of
several areas in mathematical physics: representation theory, vertex algebras and conformal …

We study the boundary vertex algebras of $ A $-twisted $\mathcal {N}= 4$ Abelian gauge
theories in three dimensions. These are identified with the BRST quotient (semi-infinite …

Fermionic and bosonic ghost systems are defined each in terms of a single vertex algebra
which admits a one-parameter family of conformal structures. The observation that these …

We show that the vertex algebra with central charge− 1 is isomorphic to a tensor product of
the simple algebra with central charge− 2 and a Heisenberg vertex algebra generated by a …

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 study the braided monoidal structure that the fusion product induces on the Abelian
category $\mathcal {W} _p $-mod, the category of representations of the triplet W-algebra …

Motivated by logarithmic conformal field theory and Gromov–Witten theory, we introduce a
notion of a twisted module of a vertex algebra under an arbitrary (not necessarily …

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 …

We explain how sheaves of vertex algebras are related to mathematical structures encoded
by a class of Lagrangians. The exposition is focused on two examples: the WZW model and …