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Categorifying Quantum Spin Systems
category-theoryhigh-energy-physics-theorymathematical-physicsquantum-physicsstrongly-correlated-electrons
We develop a homotopical framework for understanding the space of quantum spin systems based on topological $n$-nets, which assign associative unital algebras to local regions in an $n$-dimensional space in a manner that captures the locality structure of the underlying lattice theories. The net-the
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