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

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 '-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.

Automated summary

We test the gauge/gravity duality between the matrix model and type IIA string theory at low temperatures with unprecedented accuracy. By performing lattice Monte Carlo simulations of the BMN matrix model, we demonstrate the perfect agreement of energy with supergravity predictions, including alpha'-corrections, at the lowest temperature to date, and we obtain the coefficient of the 1/N-4 corrections with good accuracy at a fixed temperature.