This is the fifth 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) …

We introduce a family of factorisable ribbon quasi-Hopf algebras Q (N) for N a positive
integer: as an algebra, Q (N) is the semidirect product of CZ 2 with the direct sum of a …

We study the semisimplicity of the category KL k for affine Lie superalgebras and provide a
super analog of certain results from [8]. Let KL kfin be the subcategory of KL k consisting of …

We construct a direct sum completion $\mathcal {C} _ {\oplus} $ of a given braided monoidal
category $\mathcal {C} $ which allows for the rigorous treatment of infinite order simple …

We use string-net models to accomplish a direct, purely two-dimensional, approach to
correlators of two-dimensional rational conformal field theories. We obtain concise …

In this dissertation we systematically study the meromorphic open-string vertex algebra, its
representation theory, and its the cohomology theory. Meromorphic open-string vertex …

The subject of our study is the Kazhdan–Lusztig (KL) equivalence in the context of a one-
parameter family of logarithmic CFTs based on Virasoro symmetry with the (1, p) central …

We construct chiral algebras that centralize rank-2 Nichols algebras with at least one
fermionic generator. This gives' logarithmic'W-algebra extensions of a fractional-level …

We give results and observations which allow the application of the logarithmic tensor
category theory of Lepowsky, Zhang and the author ([HLZ1]--[HLZ9]) to more general vertex …

This book studies using string-net models to accomplish a direct, purely two-dimensional,
approach to correlators of two-dimensional rational conformal field theories. The authors …