Precision test of gauge/gravity duality in D0-brane matrix model at low temperature

Abstract

We test the gauge/gravity duality between the matrix model and type IIA string theory at low temperatures with unprecedented accuracy. To this end, we perform lattice Monte Carlo simulations of the Berenstein-Maldacena-Nastase (BMN) matrix model, which is the one-parameter deformation of the Banks-Fischler-Shenker-Susskind (BFSS) matrix model, taking both the large $N$ and continuum limits. We leverage the fact that sufficiently small flux parameters in the BMN matrix model have a negligible impact on the energy of the system while stabilizing the flat directions so that simulations at smaller $N$ than in the BFSS matrix model are possible. Hence, we can perform a precision measurement of the large $N$ continuum energy at the lowest temperatures to date. The energy is in perfect agreement with supergravity predictions including estimations of ${\alpha }^{\prime }$-corrections from previous simulations. At the lowest temperature where we can simulate efficiently ($T=0.25{\lambda }^{1/3}$, where $\lambda$ is the 't Hooft coupling), the difference in energy to the pure supergravity prediction is less than $10\%$. Furthermore, we can extract the coefficient of the $1/N^4$ corrections at a fixed temperature with good accuracy, which was previously unknown.

Published version. 33 pages, 16 figures. Data are available upon request to Stratos Pateloudis

References in corpus (7)

• 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
• Thermodynamics of the BMN matrix model at strong coupling

Cited by in corpus (7)

• Emergence of Species Scale Black Hole Horizons
• Bootstrap bounds on D0-brane quantum mechanics
• Scaling similarities and quasinormal modes of D0 black hole solutions
• Lorentz Symmetry and IR Structure of The BFSS Matrix Model
• Finite-temperature phase diagram of the BMN matrix model on the lattice
• Witten index of BMN matrix quantum mechanics
• High-Precision Bootstrap of Multimatrix Quantum Mechanics