Numerical tests of the gauge/gravity duality conjecture for D0-branes at finite temperature and finite N

Abstract

According to the gauge/gravity duality conjecture, the thermodynamics of gauge theory describing D-branes corresponds to that of black branes in superstring theory. We test this conjecture directly in the case of D0-branes by applying Monte Carlo methods to the corresponding gauge theory, which takes the form of the BFSS matrix quantum mechanics. In particular, we take the continuum limit by extrapolating the UV cutoff to infinity. First we perform simulations at large N so that string loop corrections can be neglected on the gravity side. Our results for the internal energy exhibit the temperature dependence consistent with the prediction including the α' corrections. Next we perform simulations at small N but at lower temperature so that the α' corrections can be neglected on the gravity side. Our results are consistent with the prediction including the leading string loop correction, which suggests that the conjecture holds even at finite N.

29 pages, 12 figures, v2: typos corrected

References in corpus (12)

• 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
• 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
• Towards lattice simulation of the gauge theory duals to black holes and hot strings
• Phase structure of matrix quantum mechanics at finite temperature
• Higher Derivative Corrections to Eleven Dimensional Supergravity via Local Supersymmetry
• High temperature expansion in supersymmetric matrix quantum mechanics
• Toward the Determination of R^3F^2 Terms in M-theory
• Gauge/gravity duality and lattice simulations of one dimensional SYM with sixteen supercharges
• Nonperturbative studies of supersymmetric matrix quantum mechanics with 4 and 8 supercharges at finite temperature

Cited by in corpus (18)

• Testing holography using lattice super-Yang--Mills on a 2-torus
• BMN Vacua, Superstars and Non-Abelian T-duality
• Gauge Invariant Target Space Entanglement in D-Brane Holography
• Bulk Entanglement Entropy and Matrices
• Progress and prospects of lattice supersymmetry
• Areas and entropies in BFSS/gravity duality
• Lattice studies of supersymmetric gauge theories
• Lorentz Symmetry and IR Structure of The BFSS Matrix Model
• Kähler structure in the commutative limit of matrix geometry
• Critical Kaluza-Klein black holes and black strings in D = 10
• Evidence for Gauge/Gravity Correspondence for D$p$-branes at Weak 't Hooft Coupling
• Lattice N=4 super Yang-Mills at Strong Coupling
• Black Hole and Fuzzy Objects in BFSS Matrix Model
• Finite-temperature phase diagram of the BMN matrix model on the lattice
• Phase Transitions of a (Super) Quantum Mechanical Matrix Model with a Chemical Potential
• Quantised relativistic membranes and non-perturbative checks of gauge/gravity duality
• $1/N$ correction in holographic Wilson loop from quantum gravity
• Non-perturbative phase structure of the bosonic BMN matrix model