The origin of space-time as seen from matrix model simulations
arXiv:1205.6870
Abstract
The AdS/CFT correspondence, or more generally the gauge/gravity duality, is a remarkable conjecture obtained from superstring theory with various D-brane backgrounds. According to this conjecture, a higher-dimensional curved space-time emerges from supersymmetric gauge theory in lower-dimensional flat space-time. In the first part of this article, we review Monte Carlo studies of U(N) supersymmetric gauge theories, which confirmed the gauge/gravity duality for various observables. In particular, Monte Carlo results for thermodynamic quantities enable us to understand the microscopic origin of the black hole entropy associated with the dual geometry. We also discuss results for Wilson loops and correlation functions, which agree nicely with the predictions from the gravity side. In the second part, we review recent developments in a nonperturbative formulation of superstring theory, which may be regarded as a counterpart of the lattice gauge theory in QCD. In particular, we discuss Monte Carlo results for the Lorentzian matrix model, which suggest that (3+1)-dimensional expanding universe emerges dynamically from type IIB superstring theory in (9+1) dimensions if one treats the theory nonperturbatively.
30 pages, 17 figures
References in corpus (15)
- Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
- Black hole thermodynamics from simulations of lattice Yang-Mills theory
- Non-lattice simulation for supersymmetric gauge theories in one dimension
- Schwarzschild radius from Monte Carlo calculation of the Wilson loop in supersymmetric matrix quantum mechanics
- N=4 Super Yang-Mills from the Plane Wave Matrix Model
- Deconfinement phase transition in N=4 super Yang-Mills theory on RxS^3 from supersymmetric matrix quantum mechanics
- Testing a novel large-N reduction for N=4 super Yang-Mills theory on RxS^3
- First Results from Lattice Simulation of the PWMM
- Fiber Bundles and Matrix Models
- Lattice four-dimensional N=4 SYM is practical
- A general approach to the sign problem - the factorization method with multiple observables
- Numerical tests of AdS/CFT at strong coupling
- Large N reduction on coset spaces
- Nonperturbative studies of supersymmetric matrix quantum mechanics with 4 and 8 supercharges at finite temperature
- Supersymmetry non-renormalization theorem from a computer and the AdS/CFT correspondence