Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-10-17
Phys.Rev.Lett. 90 (2003) 120402
Physics
High Energy Physics
High Energy Physics - Theory
4 pages
Scientific paper
10.1103/PhysRevLett.90.120402
We introduce lattice models with explicit N=2 supersymmetry. In these interacting models, the supersymmetry generators Q^+ and 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, as well as the hard-core repulsion. We discuss these models from a variety of perspectives: using a fundamental relation with conformal field theory, via the Bethe ansatz, and using cohomology methods. The simplest model provides a manifestly-supersymmetric lattice regulator for the supersymmetric point of the massless 1+1-dimensional Thirring (Luttinger) model. We discuss the ground-state structure of this same model on more complicated graphs, including a 2-leg ladder, and discuss some generalizations.
Boer Jan de
Fendley Paul
Schoutens Kareljan
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