Species Doublers as Super Multiplets in Lattice Supersymmetry: Chiral Conditions of Wess-Zumino Model for D=N=2

Understand

We propose an algebraic lattice supersymmetry formulation which has an exact supersymmetry on the lattice.

• We show how lattice version of chiral conditions can be imposed to satisfy an exact lattice supersymmetry algebra.
• The species doublers of chiral fermions and the corresponding bosonic counterparts can be accommodated to fit into chiral supermultiplets of lattice supersymmetry and thus lattice chiral fermion problem does not appear.
• We explicitly show how N=2 Wess-Zumino model in one and two dimensions can be formulated to keep exact supersymmetry for all super charges on the lattice.