Wess-Zumino model with exact supersymmetry on the lattice

2004/02/29 by Marisa Bonini, Alessandra Feo · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Fermion #Invariant (physics) #Lattice (music) #Lattice field theory #Lattice model (finance) #Quantum Mechanics and Non-Hermitian Physics #Supersymmetry #Supersymmetry algebra #hep-lat

paper · pdf · doi:10.1088/1126-6708/2004/09/011

published as JHEP0409:011,2004 · 13 pages. Few references added. New appendix on Ward identity added. Version to be published in JHEP

openalex publication_date 2004/09/08 · arxiv created 2004/09/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A lattice formulation of the four dimensional Wess-Zumino model that uses Ginsparg-Wilson fermions and keeps exact supersymmetry is presented. The supersymmetry transformation that leaves invariant the action at finite lattice spacing is determined by performing an iterative procedure in the coupling constant. The closure of the algebra, generated by this transformation is also showed.

Citations

• Super Yang-Mills Theories on the Two-Dimensional Lattice with Exact Supersymmetry
• Lattice study of the two-dimensional Wess-Zumino model
• Supersymmetry breaking in two dimensions: The latticeN=1Wess-Zumino model
• On Euclidean spinors and Wick rotations

Cited by

• On the continuum and lattice formulations ofN= 4D= 3 twisted super Yang-Mills
• Generalizing the Ginsparg-Wilson relation: Lattice supersymmetry from blocking transformations