Review of Lattice Supersymmetry and Gauge-Gravity Duality

Abstract

We review the status of recent investigations on validating the gauge-gravity duality conjecture through numerical simulations of strongly coupled maximally supersymmetric thermal gauge theories. In the simplest setting, the gauge-gravity duality connects systems of D0-branes and black hole geometries at finite temperature to maximally supersymmetric gauged quantum mechanics at the same temperature. Recent simulations show that non-perturbative gauge theory results give excellent agreement with the quantum gravity predictions, thus proving strong evidence for the validity of the duality conjecture and more insight into quantum black holes and gravity.

v2: Minor comments and references added. Invited review for the International Journal of Modern Physics A

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• 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
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• Geometry of Orbifolded Supersymmetric Lattice Gauge Theories
• Thermodynamics of the BMN matrix model at strong coupling
• Classification of Supersymmetric Lattice Gauge Theories by Orbifolding
• Parallel software for lattice N=4 supersymmetric Yang--Mills theory
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Cited by in corpus (20)

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• A Computer Test of Holographic Flavour Dynamics
• Lattice Simulations of 10d Yang-Mills toroidally compactified to 1d, 2d and 4d
• Supersymmetric QCD on the Lattice: An Exploratory Study
• Progress and prospects of lattice supersymmetry
• Thermal phase transition in Yang-Mills matrix model
• A Computer Test of Holographic Flavour Dynamics II
• Lattice studies of supersymmetric gauge theories
• Supersymmetric QCD: Renormalization and Mixing of Composite Operators
• Green-Schwarz superstring on the lattice
• The Flavoured BFSS Model at High Temperature
• Renormalization and Mixing of the Gluino-Glue Operator on the Lattice
• New linearization and reweighting for simulations of string sigma-model on the lattice
• QCD, with Strings Attached
• Lattice Formulation of $\mathcal{N}=2^{\ast }$ Yang-Mills
• Monte Carlo Simulations of BFSS and IKKT Matrix Models
• On regularizing the AdS superstring worldsheet
• $\mathcal{N}=2^{\ast }$ Yang-Mills on the Lattice
• Grand Pleromal Transmutation : condensates via Konsishi anomaly, dimensional transmutation and ultraminimal GUTs
• Simulations of Bosonic BMN Matrix Model