Supersymmetry on the lattice

Abstract

We discuss the motivations, difficulties and progress in the study of supersymmetric lattice gauge theories focusing in particular on $\mathcal{N}=1$ and $\mathcal{N}=4$ super Yang-Mills in four dimensions. Brief reviews of the corresponding lattice formalisms are given and current results are presented and discussed. We conclude with a summary of the main aspects of current work and prospects for the future.

20 pages, 6 figures, Contribution to IJMPA special issue "Lattice gauge theory beyond QCD"

References in corpus (13)

• Low-dimensional Supersymmetric Lattice Models
• Lattice super-Yang-Mills using domain wall fermions in the chiral limit
• The light bound states of supersymmetric SU(2) Yang-Mills theory
• Simulation of 4d N=1 supersymmetric Yang-Mills theory with Symanzik improved gauge action and stout smearing
• Euclidean lattice simulation for the dynamical supersymmetry breaking
• Parallel software for lattice N=4 supersymmetric Yang--Mills theory
• Dynamical simulation of N=1 supersymmetric Yang-Mills theory with domain wall fermions
• Taming the Leibniz Rule on the Lattice
• Compactified N=1 supersymmetric Yang-Mills theory on the lattice: Continuity and the disappearance of the deconfinement transition
• Phase structure of the N=1 supersymmetric Yang-Mills theory at finite temperature
• Real space renormalization group for twisted lattice N=4 super Yang-Mills
• Spontaneous supersymmetry breaking in the two-dimensional N=1 Wess-Zumino model
• What lattice theorists can do for superstring/M-theory

Cited by in corpus (15)

• The light bound states of $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory on the lattice
• Numerical results for the lightest bound states in $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory
• Transverse momentum broadening and collinear radiation at NLO in the $\mathcal{N}=4$ SYM plasma
• Thermal phase transition in Yang-Mills matrix model
• Lattice studies of supersymmetric gauge theories
• Gauge-invariant Renormalization of the Gluino-Glue operator
• Supersymmetric Gauge Theory on the Graph
• Mass spectrum of $2$-dimensional $\mathcal{N}=(2,2)$ super Yang-Mills theory on the lattice
• Renormalization and Mixing of the Gluino-Glue Operator on the Lattice
• Supermultiplets in N=1 SUSY SU(2) Yang-Mills Theory
• New linearization and reweighting for simulations of string sigma-model on the lattice
• On the removal of the trace mode in lattice $\mathcal{N}=4$ super Yang-Mills theory
• Eigenvalue spectrum and scaling dimension of lattice $\mathcal{N}=4$ supersymmetric Yang-Mills
• Two-dimensional $\mathcal{N}=2$ Super-Yang-Mills Theory
• Grand Pleromal Transmutation : condensates via Konsishi anomaly, dimensional transmutation and ultraminimal GUTs