A staggered fermion chain with supersymmetry on open intervals

Abstract

A strongly-interacting fermion chain with supersymmetry on the lattice and open boundary conditions is analysed. The local coupling constants of the model are staggered, and the properties of the ground states as a function of the staggering parameter are examined. In particular, a connection between certain ground-state components and solutions of non-linear recursion relations associated with the Painlevé VI equation is conjectured. Moreover, various local occupation probabilities in the ground state have the so-called scale-free property, and allow for an exact resummation in the limit of infinite system size.

arXiv comment21 pages, no figures; v2: typos corrected

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Cited by in corpus (6)

• A supersymmetric multicritical point in a model of lattice fermions
• Spin chains with dynamical lattice supersymmetry
• Weak-ergodicity-breaking via lattice supersymmetry
• Special polynomials related to the supersymmetric eight-vertex model: A summary
• M${}_k$ models: the field theory connection
• Bethe ansatz solvability and supersymmetry of the $M_2$ model of single fermions and pairs