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math-ph2024
Weak topological phases in the presence of interactions
Omar Antolín Camarena, Arun Debray, Cameron Krulewski +3
We study weak symmetry-protected topological phases (SPTs) in the presence of short-range interactions. By comparing homotopical free and interacting classifications of these SPTs,…
math-ph2024
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'…
math-ph2024
The spin-statistics theorem for topological quantum field theories
Luuk Stehouwer
We establish the spin-statistics theorem for topological quantum field theories (TQFTs) in the framework of Atiyah. We incorporate spin via spin structures on bordisms, and represe…