First results from lattice simulation of the PWMM

2010/03/31 by Simon Catterall, Greg van Anders · 38 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Deconfinement #Lattice (music) #Lattice field theory #Lattice model (finance) #Mathematics #Monte Carlo method #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Statistical physics #Theoretical physics #hep-lat #hep-th

paper · pdf · doi:10.1007/jhep09(2010)088

published in Journal of High Energy Physics 2010(9) (Springer Nature) · v3 20 pages, 8 figures, comment added

arxiv created 2010/07/27 · openalex publication_date 2010/09/01 · arxiv updated 2010/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present results of lattice simulations of the Plane Wave Matrix Model (PWMM). The PWMM is a theory of supersymmetric quantum mechanics that has a well-defined canonical ensemble. We simulate this theory by applying rational hybrid Monte Carlo techniques to a naive lattice action. We examine the strong coupling behaviour of the model focussing on the deconfinement transition.

Citations

• Five-Brane Thermodynamics from the Matrix Model
• Exact 2+1 Flavour RHMC Simulations
• Protected Multiplets of M-Theory on a Plane Wave
• Nonlattice Simulation for Supersymmetric Gauge Theories in One Dimension
• High temperature expansion in supersymmetric matrix quantum mechanics
• Embedding of theories withSU(2|4)symmetry into the plane wave matrix model
• Equation of State Calculations by Fast Computing Machines
• Deconfinement Phase Transition inN=4Super Yang-Mills Theory onR×S3from Supersymmetric Matrix Quantum Mechanics
• Thermodynamics of black holes in anti-de Sitter space
• General Lin-Maldacena solutions and PWMM instantons from supergravity
• Mtheory as a matrix model: A conjecture
• The large N limit of superconformal field theories and supergravity

Cited by

• On black hole thermodynamics from super Yang-Mills
• Statistical Physics of the Polarised IKKT Matrix Model