Extensive ground state entropy in supersymmetric lattice models

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We present the result of calculations of the Witten index for a supersymmetric lattice model on lattices of various type and size. Because the model remains supersymmetric at finite lattice size, the Witten index can be calculated using row-to-row transfer matrices and the calculations are similar to calculations of the partition function at negative activity −1 . The Witten index provides a lower bound on the number of ground states. We find strong numerical evidence that the Witten index grows exponentially with the number of sites of the lattice, implying that the model has extensive entropy in the ground state
Original languageEnglish
Pages (from-to)123302
Number of pages1
JournalJournal of Mathematical Physics
Issue number12
Publication statusPublished - 1 Dec 2005


  • Supersymmetry, Lattice theory and statistics


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