期刊
PHYSICAL REVIEW D
卷 102, 期 10, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.102.106009
关键词
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资金
- US Department of Energy (DOE), Office of Science, Office of High Energy Physics [DE-SC0009998, DE-SC0013496]
- Perimeter Institute for Theoretical Physics
- Government of Canada through Department of Innovation, Science and Economic Development Canada
- Province of Ontario through Ministry of Colleges and Universities
- UK Research and Innovation Future Leader Fellowship [MR/S015418/1]
- National Science Foundation [ACI-1548562]
- DOE
- U.S. Department of Energy (DOE) [DE-SC0013496] Funding Source: U.S. Department of Energy (DOE)
- STFC [ST/P000762/1] Funding Source: UKRI
- UKRI [MR/S015418/1] Funding Source: UKRI
In the large-N and strong-coupling limit, maximally supersymmetric SU(N) Yang-Mills theory in (2 + 1) dimensions is conjectured to be dual to the decoupling limit of a stack of N D2-branes, which may be described by IIA supergravity. We study this conjecture in the Euclidean setting using nonperturbative lattice gauge theory calculations. Our supersymmetric lattice construction naturally puts the theory on a skewed Euclidean 3-torus. Taking one cycle to have antiperiodic fermion boundary conditions, the large-torus limit is described by certain Euclidean black holes. We compute the bosonic action-the variation of the partition function-and compare our numerical results to the supergravity prediction as the size of the torus is changed, keeping its shape fixed. Our lattice calculations primarily utilize N = 8 with extrapolations to the continuum limit, and our results are consistent with the expected gravity behavior in the appropriate large-torus limit.
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