English

Ginsparg-Wilson Relation and Lattice Supersymmetry

High Energy Physics - Lattice 2016-09-01 v3

Abstract

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)RU(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.

Keywords

Cite

@article{arxiv.hep-lat/9812002,
  title  = {Ginsparg-Wilson Relation and Lattice Supersymmetry},
  author = {Hiroto So and Naoya Ukita},
  journal= {arXiv preprint arXiv:hep-lat/9812002},
  year   = {2016}
}

Comments

Revised version: 9 pages, reference updated