Lattice models with N = 2 supersymmetry
Physical Review Letters 90:12 (2003)
Abstract:
Lattice models with N = 2 supersymmetry are introduced. It is shown that the continuum limit of the simplest of these models is a well known (1 + 1)-dimensional quantum field theory with N = (2,2) superconformal symmetry. The close connections with models of current interest in the study of strongly correlated electrons is noted. Furthermore, it is demonstrated how supersymmetry can be useful in studying their properties.Lattice models with N=2 supersymmetry.
Physical review letters 90:12 (2003) 120402
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.BPS and non-BPS states in a supersymmetric Landau-Ginzburg theory
Journal of High Energy Physics Springer Nature 2003:01 (2003) 053
Exact S-matrices for supersymmetric sigma models and the Potts model
Journal of Physics A: Mathematical and Theoretical IOP Publishing 35:50 (2002) 10675
Classical dimers on the triangular lattice
Physical Review B - Condensed Matter and Materials Physics 66:21 (2002) 2145131-21451314