Wess-Zumino model with exact supersymmetry on the lattice

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.

arXiv comment13 pages. Few references added. New appendix on Ward identity added. Version to be published in JHEP

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• Lattice formulation of $\mathcal{N}=4$ super Yang-Mills theory
• Two-Dimensional Compact N=(2,2) Lattice Super Yang-Mills Theory with Exact Supersymmetry
• Simulations of $\mathcal{N}=2$ super Yang-Mills theory in two dimensions
• Noncommutativity Approach to Supersymmetry on the Lattice: SUSY Quantum Mechanics and an Inconsistency
• Supersymmetric nonperturbative formulation of the WZ model in lower dimensions
• Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice
• Generalising the Ginsparg-Wilson relation: Lattice Supersymmetry from Blocking Transformations
• A local formulation of lattice Wess-Zumino model with exact $\U(1)_R$ symmetry
• Exact lattice Ward-Takahashi identity for the N=1 Wess-Zumino model
• Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra
• Exact Lattice Supersymmetry at the Quantum Level for $N=2$ Wess-Zumino Models in 1- and 2-Dimensions
• On the Continuum and Lattice Formulations of N=4 D=3 Twisted Super Yang-Mills
• Blocking-inspired supersymmetric actions: a status report
• Optimised Dirac Operators on the Lattice: Construction, Properties and Applications
• Lattice Wess-Zumino model with Ginsparg-Wilson fermions: One-loop results and GPU benchmarks
• Exact supersymmetry on the lattice: the Wess-Zumino model
• Two-loop Wess-Zumino model with exact supersymmetry on the lattice
• Exact Ward-Takahashi identity for the lattice N=1 Wess-Zumino model
• Supercurrent conservation in the lattice Wess-Zumino model with Ginsparg-Wilson fermions
• Some Analytical Aspects in Field Theories with Dynamical Mass Generation