A topological Z2 gauge theory with zero-energy domain walls gives an exact fermion-to-spin dictionary on hypercubic lattices in arbitrary dimension.
Banks, Quantum Mechanics, a Modern Introduction, CRC Press, New York
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Fermi/Pauli Duality in Arbitrary Dimension
A topological Z2 gauge theory with zero-energy domain walls gives an exact fermion-to-spin dictionary on hypercubic lattices in arbitrary dimension.