# Corey Jones (Australian National University)

## $$\mathbb{Z}/2\mathbb{Z}$$ permutation gauging of modular tensor categories

Modular tensor categories are a special type of braided fusion category arising in many areas of mathematics and physics. Modular tensor categories can be complicated beasts. While there are many constructions that produce a modular tensor category from some other fusion category by abstract nonsense, often it is very difficult to say anything about the result. We will describe one such construction, $$\mathbb{Z}/2\mathbb{Z}$$ permutation gauging, and give a formula for the fusion rules of the result. Based on joint work with Cain Edie-Michell and Julia Plavnik.