Lattice models with N=2 supersymmetry |
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Authors: | Fendley Paul Schoutens Kareljan de Boer Jan |
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Affiliation: | Department of Physics, University of Virginia, Charlottesville, Virginia 22904-4714, USA. fendley@virginia.edu |
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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. |
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