Ginsparg–Wilson relation and lattice supersymmetry

1998/12/31 by Hiroto So, Naoya Ukita, N. Ukita · 31 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Gauge theory #Geometry #Homogeneous space #Lattice (music) #Lattice field theory #Lattice model (finance) #Mathematical physics #Mathematics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #Quantum mechanics #Supersymmetry #Theoretical physics #hep-lat

paper · pdf · doi:10.1016/s0370-2693(99)00539-0

published in Physics Letters B 457(4), 314-318 (Elsevier BV) · Revised version: 9 pages, reference updated

openalex publication_date 1999/07/01 · arxiv created 1999/10/12 · arxiv updated 2016/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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)_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.

Citations

• Absence of neutrinos on a lattice
• Path integral for gauge theories with fermions

Cited by

• One loop calculation of the SUSY Ward-Takahashi identity on the lattice with a Wilson fermion
• Generalizing the Ginsparg-Wilson relation: Lattice supersymmetry from blocking transformations
• Supersymmetric Yang-Mills theory on the lattice with domain wall fermions