Gauging categorical symmetries

Speaker:

Nils Carqueville

Affiliation:

University of Vienna

Date:

Wed, 09/07/2025 - 16:45 - 17:45

Location:

MPIM Lecture Hall [2]

Parent event:

Twinned workshop on "Quantum Field Theory and Topological Phases via Homotopy Theory and Operator Algebras" [3]

Orbifold data are categorical symmetries that can be gauged in oriented defect topological quantum field theories. We review the general construction and apply it to 2-group symmetries of 3-dimensional TQFTs; upon further specialisation this leads to equivariantisation of G-crossed braided fusion categories. We also describe a proposal, via higher dagger categories, to gauging categorical symmetries in the context of other tangential structures. This is based on separate projects with Benjamin Haake and Tim Lüders.