2 papers
math.CT2025
Fusion 3-Categories for Duality Defects
Lakshya Bhardwaj, Thibault Décoppet, Thibault Décoppet +2
We study the fusion 3-categorical symmetries for quantum theories in (3+1)d with self-duality defects. Such defects have been realized physically by half-space gauging in theories…
math.CT2024
The Classification of Fusion 2-Categories
Thibault D. Décoppet, Peter Huston, Theo Johnson-Freyd +5
We classify (multi)fusion 2-categories in terms of braided fusion categories and group cohomological data. This classification is homotopy coherent -- we provide an equivalence bet…