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 …

The vertex algebras V^(p) V (p) and\mathcal R^(p) R (p) introduced in Adamović (Transform
Groups 21 (2): 299–327, 2016) are very interesting relatives of the well-known triplet …

The vertex algebras $ V^{(p)} $ and $ R^{(p)} $ introduced in [2] are very interesting relatives
of the famous triplet algebras of logarithmic CFT. The algebra $ V^{(p)} $(respectively …

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 …

Let $\mathcal {O} _c $ be the category of finite-length central-charge-$ c $ modules for the
Virasoro Lie algebra whose composition factors are irreducible quotients of reducible Verma …

We show that if $\mathcal {U} $ and $\mathcal {V} $ are locally finite abelian categories of
modules for vertex operator algebras $ U $ and $ V $, respectively, then the Deligne tensor …

The notion of the genus of a quadratic form is generalized to vertex operator algebras. We
define it as the modular braided tensor category associated to a suitable vertex operator …

We construct two non-semisimple braided ribbon tensor categories of modules for each
singlet vertex operator algebra M (p), p≥ 2. The first category consists of all finite-length M …

We prove that a haploid associative algebra in a C∗-tensor category C is equivalent to a Q-
system (a special C∗-Frobenius algebra) in C if and only if it is rigid. This allows us to prove …

Let V be a vertex operator algebra satisfying suitable conditions such that in particular its
module category has a natural vertex tensor category structure, and consequently, a natural …