Dumbell Fermions and Fermi-Pauli Duality

Abstract

We use the Kantor-Susskindkantsuss model of fermions as "dumbbells" connecting points on a cubic lattice to points on its dual, to define a duality between local fermionic models invariant under a Z2 gauge symmetry and models of bosonic variables (generalizations of Pauli matrices) defined on the lattice.

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