Testing the holographic principle using lattice simulations

Abstract

The lattice studies of maximally supersymmetric Yang-Mills (MSYM) theory at strong coupling and large N is important for verifying gauge/gravity duality. Due to the progress made in the last decade, based on ideas from topological twisting and orbifolding, it is now possible to study these theories on the lattice while preserving an exact supersymmetry on the lattice. We present some results from the lattice studies of two-dimensional MSYM which is related to Type II supergravity. Our results agree with the thermodynamics of different black hole phases on the gravity side and the phase transition (Gregory--Laflamme) between them.

Presented at Lattice 2017, the 35th International Symposium on Lattice Field Theory at Granada, Spain (18-24 June 2017)

References in corpus (8)

• Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
• Higher derivative corrections to black hole thermodynamics from supersymmetric matrix quantum mechanics
• Schwarzschild radius from Monte Carlo calculation of the Wilson loop in supersymmetric matrix quantum mechanics
• Geometry of Orbifolded Supersymmetric Lattice Gauge Theories
• Phase structure of matrix quantum mechanics at finite temperature
• Parallel software for lattice N=4 supersymmetric Yang--Mills theory
• First results from simulations of supersymmetric lattices
• Real space renormalization group for twisted lattice N=4 super Yang-Mills

Cited by in corpus (11)

• Quantum Gravity from Causal Dynamical Triangulations: A Review
• Three-dimensional super-Yang--Mills theory on the lattice and dual black branes
• Nonperturbative study of dynamical SUSY breaking in $\mathcal{N}=(2,2)$ Yang-Mills
• Notes on ten-dimensional localized black holes and deconfined states in two-dimensional SYM
• Introduction to Monte Carlo for Matrix Models
• Lattice perturbation theory for the null cusp string
• 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
• On the removal of the trace mode in lattice $\mathcal{N}=4$ super Yang-Mills theory
• Finite-temperature phase diagram of the BMN matrix model on the lattice
• Non-perturbative phase structure of the bosonic BMN matrix model