Progress and prospects of lattice supersymmetry

Abstract

Supersymmetry plays prominent roles in the study of quantum field theory and in many proposals for potential new physics beyond the standard model, while lattice field theory provides a non-perturbative regularization suitable for strongly interacting systems. Lattice investigations of supersymmetric field theories are currently making significant progress, though many challenges remain to be overcome. In this brief overview I discuss particularly notable progress in three areas: supersymmetric Yang--Mills (SYM) theories in fewer than four dimensions, as well as both minimal N=1 SYM and maximal N=4 SYM in four dimensions. I also highlight super-QCD and sign problems as prominent challenges that will be important to address in future work.

Invited overview for the proceedings of Lattice 2018. v2: update refs

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Cited by in corpus (14)

• Partial Deconfinement
• Progress and prospects of lattice supersymmetry
• Thermal phase transition in Yang-Mills matrix model
• Three-dimensional super-Yang--Mills theory on the lattice and dual black branes
• Lattice studies of supersymmetric gauge theories
• Thermal phase structure of a supersymmetric matrix model
• Lattice N=4 super Yang-Mills at Strong Coupling
• Lattice perturbation theory for the null cusp string
• New linearization and reweighting for simulations of string sigma-model on the lattice
• The properties of $D1$-branes from lattice super Yang--Mills theory using gauge/gravity duality
• Large-$N$ limit of two-dimensional Yang--Mills theory with four supercharges
• Eigenvalue spectrum and scaling dimension of lattice $\mathcal{N}=4$ supersymmetric Yang-Mills
• Scale setting for $\mathcal{N}=1$ SUSY Yang-Mills at large-$N$ through volume-reduced twisted matrix model
• Non-perturbative phase structure of the bosonic BMN matrix model