@article{6c9554a255ee4e67ac61306ad61eb289,
title = "Three-dimensional super-Yang-Mills theory on the lattice and dual black branes",
abstract = "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.",
author = "Simon Catterall and Joel Giedt and Jha, {Raghav G.} and David Schaich and Toby Wiseman",
note = "Funding Information: This work was supported by the US Department of Energy (DOE), Office of Science, Office of High Energy Physics, under Awards No. DE-SC0009998 (S. C.) and No. DE-SC0013496 (J. G.). R. G. J.{\textquoteright}s research is supported by postdoctoral fellowship at the Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported in part by the Government of Canada through the Department of Innovation, Science and Economic Development Canada and by the Province of Ontario through the Ministry of Colleges and Universities. D. S. was supported by UK Research and Innovation Future Leader Fellowship No. MR/S015418/1. Numerical calculations were carried out at the University of Liverpool, on DOE-funded USQCD facilities at Fermilab, and at the San Diego Computing Center through XSEDE supported by National Science Foundation Grant No. ACI-1548562. Publisher Copyright: {\textcopyright} 2020 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the {"}https://creativecommons.org/licenses/by/4.0/{"}Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.",
year = "2020",
month = nov,
day = "9",
doi = "10.1103/PhysRevD.102.106009",
language = "English (US)",
volume = "102",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "10",
}