Dualities Between 2+1d Fusion Surface Models from Braided Fusion Categories

A conference talk presented by Luisa Eck from Oxford University exploring dualities between 2+1d fusion surface models derived from braided fusion categories. Recorded during the "Generalized Symmetries: High-Energy, Condensed Matter and Mathematics" conference held at the Kavli Institute for Theoretical Physics (KITP) at UC Santa Barbara from April 7-10, 2025. Dive into cutting-edge research connecting quantum field theory with topological defects, examining how symmetries can be reinterpreted through these frameworks. This 34-minute presentation contributes to a broader conference bringing together experts in generalized symmetries, a field that has seen remarkable progress over the past decade with applications spanning condensed matter physics, high energy physics, and quantum gravity. The conference was coordinated by Maissam Barkeshli, Michele Del Zotto, Sakura Schafer-Nameki, and Shu-Heng Shao.