Maths HEP Lunchtime Seminars: Lattice supersymmetry from the ground up
26 October 2007 13:00 in CM221
I discuss several models of itinerant fermions which exhibit explicit supersymmetry on the lattice. In 1+1 dimensions, one model is closely related to the XXZ spin chain, and the ground-state wavefunction has remarkable combinatorial properties. In 2+1 dimensions, many such models have an extensive ground-state entropy, so that these strongly-interacting fermions behave like frustrated magnets. In one particularly intriguing case, the Witten index has been proven to be the number of certain types of rhombus tilings of the square lattice.