3 citations · 5 across the 2 of their papers we have counts for
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Classification of -quadratic unitary fusion categories
Cain Edie-Michell, Masaki Izumi, David Penneys
A unitary fusion category is called -quadratic if it has a group of invertible objects and one other orbit of simple objects under…
Auto-equivalences of the modular tensor categories of type , , and
Cain Edie-Michell
We compute the monoidal and braided auto-equivalences of the modular tensor categories , , $\mathcal{C}(\ma…
A complete classification of unitary fusion categories tensor generated by an object of dimension
Cain Edie-Michell
In this paper we give a complete classification of unitary fusion categories -generated by an object of dimension . We show that all such categorie…
Simple current auto-equivalences of modular tensor categories
Cain Edie-Michell
In this short note we investigate the process of constructing auto-equivalences of modular tensor categories using invertible objects. We derive conditions on the invertible object…
Classifying fusion categories -generated by an object of small Frobenius-Perron dimension
Cain Edie-Michell
The goal of this paper is to classify fusion categories -generated by a -normal object (defined in this paper) of Frobenius-Perron dimension less than 2. This classific…
Fusion Rules for Permutation Gauging
Cain Edie-Michell, Corey Jones, Julia Plavnik
In this note, we examine the gauging of the permutation action on the tensor square of a modular tensor category. When has no nontrivial inve…