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 …

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 …

We apply the general theory of tensor products of modules for a vertex operator algebra
(developed by Lepowsky and the first author) and the general theory of intertwining operator …

This is the second of a series of papers devoted to the study of relaxed highest-weight
modules over affine vertex algebras and W-algebras. The first [K. Kawasetsu and D. Ridout …

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 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 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 study modularity of the characters of a vertex (super) algebra equipped with a family of
conformal structures. Along the way we introduce the notions of rationality and cofiniteness …

A bstract We associate vertex operator algebras to (p, q)-webs of interfaces in the
topologically twisted\(\mathcal {N}= 4\) super Yang-Mills theory. Y-algebras associated to …

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 …