5 papers
Topological defects in reflection positive topological field theories
Lukas Müller
Topological defects in quantum field theories are believed to assemble into higher categories with extra structure. This has been made precise for defects in - and -dimension…
The Dehn Twist Action for Quantum Representations of Mapping Class Groups
Lukas Müller, Lukas Woike
We calculate the Dehn twist action on the spaces of conformal blocks of a not necessarily semisimple modular category. In particular, we give the order of the Dehn twists under the…
A Higher Spin-Statistics Theorem for Invertible Quantum Field Theories
Cameron Krulewski, Lukas Müller, Luuk Stehouwer
We prove that every unitary invertible quantum field theory satisfies a generalization of the famous spin-statistics theorem. To formulate this extension, we define a `higher spin'…
Orbifold completion of 3-categories
Nils Carqueville, Lukas Müller
We develop a general theory of 3-dimensional ``orbifold completion'', to describe (generalised) orbifolds of topological quantum field theories as well as all their defects. Given…
The distinguished invertible object as ribbon dualizing object in the Drinfeld center
Lukas Müller, Lukas Woike
We prove that the Drinfeld center of a pivotal finite tensor category comes with the structure of a ribbon Grothendieck-Verdier category in the sense…