Direct test of the gauge-gravity correspondence for Matrix theory correlation functions

Abstract

We study correlation functions in (0+1)-dimensional maximally supersymmetric U(N) Yang-Mills theory, which was proposed by Banks et al. as a non-perturbative definition of 11-dimensional M-theory in the infinite-momentum frame. We perform first-principle calculations using Monte Carlo simulations, and compare the results against the predictions obtained previously based on the gauge-gravity correspondence from 10 dimensions. After providing a self-contained review on these predictions, we present clear evidence that the predictions in the large-N limit actually hold even at small N such as N=2 and 3. The predicted behavior seems to continue to the far infrared regime, which goes beyond the naive range of validity of the 10D supergravity analysis. This suggests that the correlation functions also contain important information on the M-theory limit.

v1: 43 pages, 16 figures. v2, v3: minor corrections

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• Gauge/gravity duality and lattice simulations of one dimensional SYM with sixteen supercharges
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• Gauge Invariant Target Space Entanglement in D-Brane Holography
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• Direct test of the AdS/CFT correspondence by Monte Carlo studies of N=4 super Yang-Mills theory
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• Progress and prospects of lattice supersymmetry
• Lattice studies of supersymmetric gauge theories
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• Equilibration in low-dimensional quantum matrix models
• Matrix model holography
• What lattice theorists can do for superstring/M-theory
• Restoration of supersymmetry in two-dimensional SYM with sixteen supercharges on the lattice
• Loop formulation of supersymmetric Yang-Mills quantum mechanics
• On a new type of orbifold equivalence and M-theoretic AdS4/CFT3 duality
• The origin of space-time as seen from matrix model simulations
• Matrix Thermalization
• Evidence for Gauge/Gravity Correspondence for D$p$-branes at Weak 't Hooft Coupling
• Covariantized Matrix theory for D-particles
• Developing local RG: quantum RG and BFSS
• Linear responses of D0-branes via gauge/gravity correspondence
• A new large-N limit and the planar equivalence outside the planar limit
• An anisotropic hybrid non-perturbative formulation for 4D N = 2 supersymmetric Yang-Mills theories
• On black hole thermodynamics from super Yang-Mills
• Rotating particles in AdS: Holography at weak gauge coupling and without conformal symmetry
• Phase Transitions of a (Super) Quantum Mechanical Matrix Model with a Chemical Potential
• Non-perturbative phase structure of the bosonic BMN matrix model
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