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math-ph2026
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…
math-ph2025
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'…