A bstract Gauging is a powerful operation on symmetries in quantum field theory (QFT), as it
connects distinct theories and also reveals hidden structures in a given theory. We initiate a …

In this paper, we study fusion categories which contain a proper fusion subcategory with
maximal rank. They are generalizations of near-group fusion categories. We first prove that …

We develop categorical and number-theoretical tools for the classification of super-modular
categories. We apply these tools to obtain a partial classification of super-modular …

Unfortunately, there is a huge difference between course notes and a book. This is why I
need everyone's help. If there are parts that you think are unclear–please let me know. If …

In this article we study the possible Morita equivalence classes of algebras in three families
of fusion categories (pointed, near-group and (A 1, l) 1 2) by studying the Non-negative …

The topological entanglement entropy is used to measure long-range quantum correlations
in the ground space of topological phases. Here we obtain closed form expressions for the …

We abstract the study of irreducible characters of finite groups vanishing on all but two
conjugacy classes, initiated by S. Gagola, to irreducible characters of fusion rings whose …

In this article we study the possible Morita equivalence classes of algebras in three families
of fusion categories (pointed, near-group and $ A\left (1, l\right) _ {\frac {1}{2}} $) by studying …

Until recently, a careful derivation of the fusion structure of anyons from some underlying
physical principles has been lacking. In Shi et al.(2020), the authors achieved this goal by …

We develop categorical and number theoretical tools for the classification of super-modular
categories. We apply these tools to obtain a partial classification of super-modular …