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High Energy Physics - Theory

Title: Dumbell Fermions and Fermi-Pauli Duality

Authors: Tom Banks
(Submitted on 21 Apr 2024 (v1), last revised 29 Apr 2024 (this version, v2))
Abstract: We use the Kantor-Susskind\cite{kantsuss} 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 $Z_2$ gauge symmetry and models of bosonic variables (generalizations of Pauli matrices) defined on the lattice.
Comments: 9 pages, 3 figures, LaTeX, V2. Reference added
Subjects: High Energy Physics - Theory (hep-th); Strongly Correlated Electrons (cond-mat.str-el)
Report number: RUNHETC-2024-15
Cite as: arXiv:2404.13761 [hep-th]
  (or arXiv:2404.13761v2 [hep-th] for this version)

Submission history

From: Tom Banks [view email]
[v1] Sun, 21 Apr 2024 20:17:34 GMT (42kb,D)
[v2] Mon, 29 Apr 2024 12:43:06 GMT (42kb,D)
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