Critique of the link approach to exact lattice supersymmetry

2006/11/01 by Falk Bruckmann, Simon Catterall, Mark de Kok · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Continuum hypothesis #Discretization #Gauge theory #Lattice (music) #Lattice field theory #Link (geometry) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Supersymmetry #Theoretical physics #hep-lat

paper · pdf · doi:10.1103/physrevd.75.045016

published as Phys.Rev.D75:045016,2007 · 7 pages

arxiv created 2006/11/01 · openalex publication_date 2007/02/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We examine the link approach to constructing a lattice theory of N=2 super Yang-Mills theory in two dimensions. The goal of this construction is to provide a discretization of the continuum theory which preserves all supersymmetries at nonzero lattice spacing. We show that this approach suffers from an inconsistency and argue that a maximum of just one of the supersymmetries can be implemented on the lattice.

Citations

• Super Yang-Mills Theories on the Two-Dimensional Lattice with Exact Supersymmetry
• DECONSTRUCTION AND OTHER APPROACHES TO SUPERSYMMETRIC LATTICE FIELD THEORIES
• Lattice supersymmetry, superfields and renormalization
• Supersymmetry on a euclidean spacetime lattice 1. A target theory with four supercharges

Cited by

• Species doublers as super multiplets in lattice supersymmetry: exact supersymmetry with interactions for D = 1 N = 2