## 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 *α*′-corrections from previous simulations. At the lowest temperature where we can simulate efficiently (*T* = 0*.*25*λ*^{1/3}, where *λ* 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.

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The Monte Carlo String/M-theory (MCSMC) collaboration., Pateloudis, S., Bergner, G. *et al.* Precision test of gauge/gravity duality in D0-brane matrix model at low temperature.
*J. High Energ. Phys.* **2023**, 71 (2023). https://doi.org/10.1007/JHEP03(2023)071

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DOI: https://doi.org/10.1007/JHEP03(2023)071

### Keywords

- Black Holes in String Theory
- M(atrix) Theories
- Matrix Models
- Nonperturbative Effects