4 papers
Graphical characterization of modular invariance
Leonard Hardiman
For a given modular tensor category we study representations of the corresponding tube category whose isomorphism classes are modular invariant matrices. In particular, we provide…
Extending the trace of a pivotal monoidal functor
Leonard Hardiman
We consider a pivotal monoidal functor whose domain is a modular tensor category (MTC). We show that the trace of such a functor naturally extends to a representation of the corres…
A graphical approach to the Drinfeld centre
Leonard Hardiman
Let be a spherical fusion category. The goal of this article is to present the tube category of , denoted , as giving an alternative graphi…
Decomposing the Tube Category
Leonard Hardiman, Alastair King
The tube category of a modular tensor category is a variant of the tube algebra, first introduced by Ocneanu. As a category, it can be decomposed in two different, but related, sen…