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 …

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 …

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 …

We incorporate a category of certain modules for an affine Lie algebra, of a certain fixed non-
positive-integral level, considered by Kazhdan and Lusztig, into the representation theory of …

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 …

We prove the Kazhdan-Lusztig correspondence for a class of vertex operator superalgebras
which, via the work of Costello-Gaiotto, arise as boundary VOAs of topological B twist of 3d …

Abstract Let V⊆ A be a conformal inclusion of vertex operator algebras and let C be a
category of grading-restricted generalized V-modules that admits the vertex algebraic …

Let V be a simple vertex operator algebra satisfying the following conditions:(i) V (n)= 0 for
n< 0,, and the contragredient module V'is isomorphic to V as a V-module;(ii) every weak V …

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 …

This is the second part in a series of papers in which we introduce and develop a natural,
general tensor category theory for suitable module categories for a vertex (operator) …