Supersymmetry on Lattice Using Ginsparg-Wilson Relation

Abstract

The Ginsparg-Wilson(G-W) relation for chiral symmetry is extended for a supersymmetrical(SUSY) case on a lattice. It is possible to define exact lattice supersymmetry which are devided into two different cases according to using difference operators. $U(1{)}_R$ symmetry on the lattice is also realized as one of exact symmetries. For an application, the extended G-W relation is given for a two-dimensional model with chiral multiplets.

Comments: Lattice 2000 (Supersymmetry, Poster), 4 pages