From the 1 of 9 linked papers with an AI index.
9 papers
Weak topological phases in the presence of interactions
Omar AntolÃn Camarena, Arun Debray, Cameron Krulewski +3
The paper classifies weak symmetry‑protected topological phases in dimensions 0–3 under short‑range interactions, using homotopy‑theoretic methods to identify which phases remain s…
The many faces of higher Hilbert spaces
Giovanni Ferrer, Lukas Müller, David Penneys +1
Finite-dimensional operator algebras can be viewed as , , or -algebras, leading to different notions for their categories of modules and c…
Unraveling the Bott spiral
Arun Debray, Cameron Krulewski, Luuk Stehouwer
We construct and compute a homotopy-theoretic model for the Bott spiral of symmetry-protected topological phases (SPTs) studied by Queiroz--Khalaf--Stern. We model free and interac…
Dagger categories via anti-involutions and positivity
Luuk Stehouwer, Jan Steinebrunner
Dagger categories are an essential tool for categorical descriptions of quantum physics, for example in categorical quantum mechanics and unitary topological field theory. Their de…
Dagger -categories
Giovanni Ferrer, Brett Hungar, Theo Johnson-Freyd +8
Category theory provides a unified language for organizing composable operations in many disciplines. In disciplines where unitarity is fundamental -- such as functional analysis,…
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'…