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 show that the category of finite-length generalized modules for the singlet vertex algebra
M (p), p∈ Z> 1, is equal to the category OM (p) of C 1-cofinite M (p)-modules, and that this …

We establish rigid tensor category structure on finitely-generated weight modules for the
subregular W-algebras of sl n at levels-n+ nn+ 1 (the B n+ 1-algebras of Creutzig–Ridout …

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 …

We provide a ribbon tensor equivalence between the representation category of small
quantum SL. 2/, at parameter q D ei= p, and the representation category of the triplet vertex …

Let $\mathcal {U} $ be a braided tensor category, typically unknown, complicated and in
particular non-semisimple. We characterize $\mathcal {U} $ under the assumption that there …

Let $ V $ be an $\mathbb {N} $-graded, simple, self-contragredient, $ C_2 $-cofinite vertex
operator algebra. We show that if the $ S $-transformation of the character of $ V $ is a linear …

Given a non-semisimple braided tensor category, with oplax tensor functors from known
braided tensor categories, we ask: How does this knowledge characterize the tensor product …

The abelian and monoidal structure of the category of smooth weight modules over a non-
integrable affine vertex algebra of rank greater than one is an interesting, difficult and …

We formulate and prove examples of a conjecture which describes the W-algebras in type A
as successive quantum Hamiltonian reductions of affine vertex algebras associated with …