title: Lattice models with N=2 supersymmetry.
abstract: We introduce lattice models with explicit N=2 supersymmetry. In these interacting models, the supersymmetry generators Q+/- yield the Hamiltonian H=(Q(+),Q(-)) on any graph. The degrees of freedom can be described as either fermions with hard cores, or as quantum dimers; the Hamiltonian of our simplest model contains a hopping term and a repulsive potential. We analyze these models using conformal field theory, the Bethe ansatz, and cohomology. The simplest model provides a manifestly supersymmetric lattice regulator for the supersymmetric point of the massless (1+1)-dimensional Thirring (Luttinger) model. Generalizations include a quantum monomer-dimer model on a two-leg ladder.
authors.affiliation: Department of Physics, University of Virginia, Charlottesville, Virginia 22904-4714, USA. fendley@virginia.edu
authors.forename: Paul
authors.initials: P
authors.lastname: Fendley
authors.forename: Kareljan
authors.initials: K
authors.lastname: Schoutens
authors.forename: Jan
authors.initials: J
authors.lastname: de Boer