Ginsparg–Wilson formulation of 2D N=(2,2) SQCD with exact lattice supersymmetry

2008/11/20 by Yoshio Kikukawa, Fumihiko Sugino · 23 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Gauge theory #Hamiltonian lattice gauge theory #Holomorphic function #Lattice (music) #Lattice QCD #Lattice field theory #Lattice model (finance) #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Supercharge #Superpotential #Supersymmetry #Theoretical physics #hep-lat #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2009.04.007

published in Nuclear Physics B 819(1-2), 76-115 (Elsevier BV) · 46 pages, no figure; (v2) references added; (v3) typos corrected

arxiv created 2008/11/20 · openalex publication_date 2009/04/18 · arxiv updated 2009/12/01 · openalex created_date 2019/07/30 · openalex updated_date 2026/08/05

Abstract

In this paper, we introduce the overlap Dirac operator, which satisfies the Ginsparg-Wilson relation, to the matter sector of two-dimensional N=(2,2) lattice supersymmetric QCD (SQCD) with preserving one of the supercharges. It realizes the exact chiral flavor symmetry on the lattice, to make possible to define the lattice action for general number of the flavors of fundamental and anti-fundamental matter multiplets and for general twisted masses. Furthermore, superpotential terms can be introduced with exact holomorphic or anti-holomorphic structure on the lattice. We also consider the lattice formulation of matter multiplets charged only under the central U(1) (the overall U(1)) of the gauge group G=U(N), and then construct lattice models for gauged linear sigma models with exactly preserving one supercharge and their chiral flavor symmetry.

Citations

• A Framework for Systematic Study of QCD Vacuum Structure II: Coherent Lattice QCD
• Chiral fermions on the lattice
• Weyl fermions on the lattice and the non-abelian gauge anomaly
• Super Yang-Mills Theories on the Two-Dimensional Lattice with Exact Supersymmetry
• Lattice supersymmetry: equivalence between the link approach and orbifolding
• Lattice study of the two-dimensional Wess-Zumino model
• Various Super Yang-Mills Theories with Exact Supersymmetry on the Lattice
• DECONSTRUCTION AND OTHER APPROACHES TO SUPERSYMMETRIC LATTICE FIELD THEORIES
• Two-flavor QCD simulation with exact chiral symmetry
• Two-flavor lattice QCD in theϵregime and chiral random matrix theory
• Supersymmetry on a euclidean spacetime lattice 1. A target theory with four supercharges
• Supersymmetry and Supergravity
• Abelian chiral gauge theories on the lattice with exact gauge invariance
• Two-Flavor Lattice-QCD Simulation in theϵRegime with Exact Chiral Symmetry
• Phases of N = 2 theories in two dimensions
• Classical limits of scalar and tensor gauge operators based on the overlap Dirac matrix
• Simple Evaluation of the Chiral Jacobian with the Overlap Dirac Operator
• Topological quantum field theory
• Lattice Formulation of a Two-Dimensional Topological Field Theory
• N=(1,1) super-Yang–Mills on a (2+1)-dimensional transverse lattice with one exact supersymmetry