## On the ground states of the $M_\ell$ models

29 Sep 2015  ·  Huijse Liza, Hagendorf Christian ·

We study the $M_\ell$ models for lattice fermions with supersymmetry introduced by Fendley, Nienhuis and Schoutens on one-dimensional chains. We determine the number of ground states as a function of the chain length as well as various boundary conditions by solving the corresponding cohomology problem... As an intermediate result we obtain the Cut (and Paste) cohomology isomorphism, which maps the cohomology problem of chains, whose lengths differ by $\ell+2$ sites, onto each other. read more

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Mathematical Physics Statistical Mechanics Mathematical Physics