Lattice studies of supersymmetric gauge theories

Abstract

Supersymmetry plays prominent roles in the study of quantum field theory and in many proposals for potential new physics beyond the standard model. Lattice field theory provides a non-perturbative regularization suitable for strongly interacting systems. This invited review briefly summarizes significant recent progress in lattice investigations of supersymmetric field theories, as well as some of the challenges that remain to be overcome. I focus on progress in three areas: supersymmetric Yang--Mills (SYM) theories in fewer than four space-time dimensions, as well as both minimal N=1 SYM and maximal N=4 SYM in four dimensions. I also highlight superQCD and sign problems as prominent challenges that will be important to address in future work.

Invited brief review

References in corpus (62)

• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
• Black hole thermodynamics from simulations of lattice Yang-Mills theory
• Higher derivative corrections to black hole thermodynamics from supersymmetric matrix quantum mechanics
• Non-lattice simulation for supersymmetric gauge theories in one dimension
• Anomalous dimension with wrapping at four loops in N=4 SYM
• Schwarzschild radius from Monte Carlo calculation of the Wilson loop in supersymmetric matrix quantum mechanics
• Towards lattice simulation of the gauge theory duals to black holes and hot strings
• Low-dimensional Supersymmetric Lattice Models
• Restoration of supersymmetry on the lattice: Two-dimensional $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills theory
• Observing dynamical supersymmetry breaking with euclidean lattice simulations
• Geometry of Orbifolded Supersymmetric Lattice Gauge Theories
• Lattice super-Yang-Mills using domain wall fermions in the chiral limit
• Matrix Model simulations using Quantum Computing, Deep Learning, and Lattice Monte Carlo
• Thermodynamics of the BMN matrix model at strong coupling
• Lattice study of two-dimensional N=(2,2) super Yang-Mills at large-N
• Euclidean lattice simulation for the dynamical supersymmetry breaking
• N=4 Supersymmetry on a Space-Time Lattice
• Parallel software for lattice N=4 supersymmetric Yang--Mills theory
• Dynamical simulation of N=1 supersymmetric Yang-Mills theory with domain wall fermions
• First Results from Lattice Simulation of the PWMM
• ABJM at Strong Coupling from M-theory, Localization, and Lorentzian Inversion
• Lattice four-dimensional N=4 SYM is practical
• Free Energy and Phase Transition of the Matrix Model on a Plane-Wave
• First results from simulations of supersymmetric lattices
• Taming the Leibniz Rule on the Lattice
• Lattice Formulation of Two-Dimensional N=(2,2) SQCD with Exact Supersymmetry
• The static potential in {\cal N}=4 supersymmetric Yang-Mills at weak coupling
• Compactified N=1 supersymmetric Yang-Mills theory on the lattice: Continuity and the disappearance of the deconfinement transition
• Two-dimensional N=(2,2) Supersymmetric Lattice Gauge Theory with Matter Fields in the Fundamental Representation
• Bootstrapping 4d $\mathcal{N}=2$ gauge theories: the case of SQCD
• Phase structure of the N=1 supersymmetric Yang-Mills theory at finite temperature
• Confinement/deconfinement transition in the D0-brane matrix model -- A signature of M-theory?
• Supersymmetric QCD on the Lattice: An Exploratory Study
• Real space renormalization group for twisted lattice N=4 super Yang-Mills
• Numerical results for the lightest bound states in $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory
• Some physics of the two-dimensional $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills theory: Lattice Monte Carlo study
• Two-dimensional N=(2,2) super Yang-Mills theory on computer
• Vacuum energy of two-dimensional N=(2,2) super Yang-Mills theory
• Lattice formulation of 2D $\mathcal{N}=(2,2)$ SQCD based on the B model twist
• Scale setting for large-$N$ SUSY Yang-Mills on the lattice
• Quantum chaos in supersymmetric quantum mechanics: an exact diagonalization study
• Spontaneous supersymmetry breaking in the two-dimensional N=1 Wess-Zumino model
• Topologically Twisted $N=(2,2)$ Supersymmetric Yang-Mills Theory on Arbitrary Discretized Riemann Surface
• Note on massless bosonic states in two-dimensional field theories
• Loop formulation of supersymmetric Yang-Mills quantum mechanics
• Supersymmetric QCD: Renormalization and Mixing of Composite Operators
• Thermal phase structure of dimensionally reduced super-Yang--Mills
• Two-dimensional $\mathcal{N}=(2,2)$ Lattice Gauge Theories with Matter in Higher Representations
• Variational analysis of low-lying states in supersymmetric Yang-Mills theory
• Anomaly and Sign problem in $\mathcal{N}=(2,2)$ SYM on Polyhedra : Numerical Analysis
• Gauge-invariant Renormalization of the Gluino-Glue operator
• Monte-Carlo simulations of overlap Majorana fermions
• NLL resummation for the static potential in N=4 SYM theory
• An Alternative Lattice Field Theory Formulation Inspired by Lattice Supersymmetry
• Supersymmetric Gauge Theory on the Graph
• Perturbative renormalization of the supercurrent operator in lattice $\mathcal{N}=1$ supersymmetric Yang-Mills theory
• Lattice simulations of adjoint QCD with one Dirac overlap fermion
• Lattice perturbation theory for the null cusp string
• New linearization and reweighting for simulations of string sigma-model on the lattice
• 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

Cited by in corpus (5)

• Spectrum of QCD with one flavor: A window for supersymmetric dynamics
• Finite-temperature phase diagram of the BMN matrix model on the lattice
• Exploring conformality in lattice N=4 supersymmetric Yang--Mills
• Lattice Supersymmetry and Holography
• Nonperturbative phase diagram of two-dimensional $\mathcal{N}=(2,2)$ super-Yang--Mills