We relate commutative algebras in braided tensor categories to braid-reversed tensor
equivalences, motivated by vertex algebra representation theory. First, for C a braided …

The B _ p B p-algebras are a family of vertex operator algebras parameterized by p ∈ Z _ ≥
2 p∈ Z≥ 2. They are important examples of logarithmic CFTs and appear as chiral algebras …

Coset constructions of-algebras have many applications and were recently given for
principal-algebras of,, and types by Arakawa together with the 1st and 3rd authors. In this …

We discuss tensor categories motivated by Conformal Field Theory, their unitarizability with
applications to various models including the affine VOAs. We discuss classification of type A …

Let G Be a simply connected compact Lie group and g be its complexified Lie algebra.
Building on the work of H. Wenzl, we present a weak tensor structure on the unitary modular …

We discuss tensor categories motivated by CFT, their unitarizability and applications to
various models including the affine VOAs. We discuss classification of type A Verlinde fusion …

Abstract The Kazhdan-Lusztig tensor equivalence is a monoidal functor which sends
modules over an affine Lie algebra at negative level to modules over the associated …

Categories of Weight Modules for Unrolled Quantum Groups and Connections to Vertex
Operator Algebras by Matthew Rupert A thesis Page 1 Categories of Weight Modules for …

There is a fascinating and, at present, poorly understood connection between affine vertex
operator algebras and quantum groups. In this thesis, we start with vertex operator algebras …