We construct a family of 3d quantum field theories $\mathcal T_ {n, k}^ A $ that conjecturally
provide a physical realization--and derived generalization--of non-semisimple mathematical …

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 provide a ribbon tensor equivalence between the representation category of small
quantum SL (2), at parameter q= exp ($\pi $ i/p), and the representation category of the …

We show that direct limit completions of vertex tensor categories inherit vertex and braided
tensor category structures, under conditions that hold for example for all known Virasoro and …

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 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 …

A bstract We consider several topologically twisted Chern-Simons-matter theories and
propose boundary VOAs whose module categories should model the category of line …

We study the braided tensor structure of line operators in the topological A and B twists of
abelian 3d $\mathcal {N}= 4$ gauge theories, as accessed via boundary vertex operator …

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 …

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 …