Springer Berlin Heidelberg
Berlin/Heidelberg
Springer
13130
10.1007/13130.1029-8479
1029-8479
32745009
Journal of High Energy Physics
J. High Energ. Phys.
Physics
Elementary Particles, Quantum Field Theory
Quantum Field Theories, String Theory
Classical and Quantum Gravitation, Relativity Theory
Quantum Physics
Physics and Astronomy
2023
2023
12
3
3
255
2023
6
23
2023
3
2023
SISSA, Trieste, Italy
2021
20419
2210.04881
10.1007/JHEP03(2023)071
71
71
Precision test of gauge/gravity duality in D0-brane matrix model at low temperature
Regular Article - Theoretical Physics
1
32
2023
3
10
2022
10
24
2023
1
18
2023
2
19
2023
3
10
The Author(s)
2023
Open Access. This article is distributed under the terms of the Creative Commons Attribution License (
CC-BY 4.0
), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
13130
2023
2023
3
3
The Monte Carlo String/M-theory (MCSMC) collaboration
Stratos
Pateloudis
stratospate@gmail.com
Georg
Bergner
Masanori
Hanada
Enrico
Rinaldi
Andreas
Schäfer
Pavlos
Vranas
Hiromasa
Watanabe
Norbert
Bodendorfer
grid.7727.5
0000 0001 2190 5763
University of Regensburg, Institute of Theoretical Physics
Universitätsstrasse 31
D-93053
Regensburg
Germany
grid.9613.d
0000 0001 1939 2794
University of Jena, Institute for Theoretical Physics
Max-Wien-Platz 1
D-07743
Jena
Germany
grid.5475.3
0000 0004 0407 4824
Department of Mathematics
University of Surrey
Guildford
Surrey
GU2 7XH
United Kingdom
grid.214458.e
0000000086837370
Physics Department
University of Michigan
Ann Arbor
MI
48109
USA
grid.7597.c
0000000094465255
Theoretical Quantum Physics Laboratory, Cluster for Pioneering Research
RIKEN
Wako
Saitama
351-0198
Japan
grid.7597.c
0000000094465255
Interdisciplinary Theoretical & Mathematical Science Program (iTHEMS)
RIKEN
Wako
Saitama
351-0198
Japan
grid.7597.c
0000000094465255
Center for Quantum Computing (RQC)
RIKEN
Wako
Saitama
351-0198
Japan
grid.250008.f
0000 0001 2160 9702
Physical and Life Sciences Division
Lawrence Livermore National Laboratory
Livermore
CA
94550
USA
grid.184769.5
0000 0001 2231 4551
Nuclear Science Division
Lawrence Berkeley National Laboratory
Berkeley
California
94720
USA
grid.258799.8
0000 0004 0372 2033
Yukawa Institute for Theoretical Physics
Kyoto University
Kyoto
606-8502
Japan
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 = 0.25λ
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.
Keywords
Black Holes in String Theory
M(atrix) Theories
Matrix Models
Nonperturbative Effects
ArXiv ePrint:
2210.04881