Ginsparg-Wilson Relation and Lattice Supersymmetry

Details Ginsparg-Wilson Relation and Lattice Supersymmetry Ginsparg-Wilson Relation and Lattice Supersymmetry

1998-12-02

arxiv.org/abs/hep-lat/9812002v3

Phys.Lett. B457 (1999) 314-318

Physics

High Energy Physics

High Energy Physics - Lattice

Revised version: 9 pages, reference updated

Scientific paper

10.1016/S0370-2693(99)00539-0

The Ginsparg-Wilson(G-W) relation is extended for supersymmetric free theories on a lattice. Exact lattice supersymmetry(SUSY) can be defined without any ambiguities in difference operators. The lattice action constructed by a block-spin transformation is invariant under the symmetry. $U(1)_R$ 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. It is argued that the relation may be generalized for interacting cases.

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