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math-ph2026
Categorifying Quantum Spin Systems
Matthew Yu
We develop a homotopical framework for understanding the space of quantum spin systems based on topological -nets, which assign associative unital algebras to local regions in a…
math-ph2025
Mutual Influence of Symmetries and Topological Field Theories
Daniel Teixeira, Matthew Yu
We study how the fusion 2-category symmetry of a fermionic (2+1)d QFT can be affected when one allows for stacking with TQFTs to be an equivalence relation for QFTs. Focusing on a…