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math-ph2025
Free phases of Majorana fermions: Tenfold ways compared
Luuk Stehouwer
We provide a mathematically rigorous classification of symmetry-protected topological (SPT) phases of neutral free fermions. Our approach utilizes Karoubi triples with negative squ…
math-ph2025
Is Crane--Yetter fully extended?
Luuk Stehouwer
We revisit the question of whether the Crane-Yetter topological quantum field theory (TQFT) associated to a modular tensor category admits a fully extended refinement. More specifi…