Abstract
We study 1/N corrections to a Wilson loop in holographic duality. Extending the AdS/CFT correspondence beyond the large N limit is an important but a subtle issue, as it needs quantum gravity corrections in the gravity side. To find a physical property of the quantum corrected geometry of near-horizon black 0-branes previously obtained by Hyakutake, we evaluate a Euclidean string worldsheet hanging down in the geometry, which corresponds to a rectangular Wilson loop in the SU(N) quantum mechanics with 16 supercharges at a finite temperature with finite N . We find that the potential energy defined by the Wilson loop increases due to the 1/N correction, therefore the quantum gravity correction weakens the gravitational attraction.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
J.M. Maldacena, The Large N limit of superconformal field theories and supergravity, Int. J. Theor. Phys.38 (1999) 1113 [hep-th/9711200] [INSPIRE].
S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett.B 428 (1998) 105 [hep-th/9802109] [INSPIRE].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys.2 (1998) 253 [hep-th/9802150] [INSPIRE].
M. Hanada, Y. Hyakutake, G. Ishiki and J. Nishimura, Holographic description of quantum black hole on a computer, Science344 (2014) 882 [arXiv:1311.5607] [INSPIRE].
M. Hanada, Y. Hyakutake, G. Ishiki and J. Nishimura, Numerical tests of the gauge/gravity duality conjecture for D0-branes at finite temperature and finite N, Phys. Rev.D 94 (2016) 086010 [arXiv:1603.00538] [INSPIRE].
Y. Hyakutake, Quantum near-horizon geometry of a black 0-brane, PTEP2014 (2014) 033B04 [arXiv:1311.7526] [INSPIRE].
A. Arabi Ardehali, J.T. Liu and P. Szepietowski, The spectrum of IIB supergravity on AdS5 × S 5/Z3 and a 1/N 2test of AdS/CFT, JHEP06 (2013) 024 [arXiv:1304.1540] [INSPIRE].
M. Honda, Quantum Black Hole Entropy from 4d Supersymmetric Cardy formula, Phys. Rev.D 100 (2019) 026008 [arXiv:1901.08091] [INSPIRE].
S.W. Hawking and D.N. Page, Thermodynamics of Black Holes in anti-de Sitter Space, Commun. Math. Phys.87 (1983) 577 [INSPIRE].
E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys.2 (1998) 505 [hep-th/9803131] [INSPIRE].
K. Hashimoto, S. Sugishita, A. Tanaka and A. Tomiya, Deep Learning and Holographic QCD, Phys. Rev.D 98 (2018) 106014 [arXiv:1809.10536] [INSPIRE].
K. Hashimoto, S. Sugishita, A. Tanaka and A. Tomiya, Deep learning and the AdS/CFT correspondence, Phys. Rev.D 98 (2018) 046019 [arXiv:1802.08313] [INSPIRE].
J.M. Maldacena, Wilson loops in large N field theories, Phys. Rev. Lett.80 (1998) 4859 [hep-th/9803002] [INSPIRE].
N. Drukker and D.J. Gross, An Exact prediction of N = 4 SUSYM theory for string theory, J. Math. Phys.42 (2001) 2896 [hep-th/0010274] [INSPIRE].
V. Forini, V. Giangreco M. Puletti, L. Griguolo, D. Seminara and E. Vescovi, Precision calculation of 1/4-BPS Wilson loops in AdS5 × S 5 , JHEP02 (2016) 105 [arXiv:1512.00841] [INSPIRE].
A. Faraggi, L.A. Pando Zayas, G.A. Silva and D. Trancanelli, Toward precision holography with supersymmetric Wilson loops, JHEP04 (2016) 053 [arXiv:1601.04708] [INSPIRE].
V. Forini, A.A. Tseytlin and E. Vescovi, Perturbative computation of string one-loop corrections to Wilson loop minimal surfaces in AdS5 × S 5 , JHEP03 (2017) 003 [arXiv:1702.02164] [INSPIRE].
E.I. Buchbinder and A.A. Tseytlin, 1/N correction in the D3-brane description of a circular Wilson loop at strong coupling, Phys. Rev.D 89 (2014) 126008 [arXiv:1404.4952] [INSPIRE].
A. Faraggi, J.T. Liu, L.A. Pando Zayas and G. Zhang, One-loop structure of higher rank Wilson loops in AdS/CFT, Phys. Lett.B 740 (2015) 218 [arXiv:1409.3187] [INSPIRE].
N. Itzhaki, J.M. Maldacena, J. Sonnenschein and S. Yankielowicz, Supergravity and the large N limit of theories with sixteen supercharges, Phys. Rev.D 58 (1998) 046004 [hep-th/9802042] [INSPIRE].
E. Cremmer, B. Julia and J. Scherk, Supergravity Theory in Eleven-Dimensions, Phys. Lett.76B (1978) 409 [INSPIRE].
S.-J. Rey and J.-T. Yee, Macroscopic strings as heavy quarks in large N gauge theory and anti-de Sitter supergravity, Eur. Phys. J.C 22 (2001) 379 [hep-th/9803001] [INSPIRE].
A. Karch and E. Katz, Adding flavor to AdS/CFT, JHEP06 (2002) 043 [hep-th/0205236] [INSPIRE].
N. Iizuka, D.N. Kabat, G. Lifschytz and D.A. Lowe, Probing black holes in nonperturbative gauge theory, Phys. Rev.D 65 (2002) 024012 [hep-th/0108006] [INSPIRE].
M. Hanada, J. Nishimura and S. Takeuchi, Non-lattice simulation for supersymmetric gauge theories in one dimension, Phys. Rev. Lett.99 (2007) 161602 [arXiv:0706.1647] [INSPIRE].
K.N. Anagnostopoulos, M. Hanada, J. Nishimura and S. Takeuchi, Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature, Phys. Rev. Lett.100 (2008) 021601 [arXiv:0707.4454] [INSPIRE].
M. Hanada, Y. Hyakutake, J. Nishimura and S. Takeuchi, Higher derivative corrections to black hole thermodynamics from supersymmetric matrix quantum mechanics, Phys. Rev. Lett.102 (2009) 191602 [arXiv:0811.3102] [INSPIRE].
M. Hanada, A. Miwa, J. Nishimura and S. Takeuchi, Schwarzschild radius from Monte Carlo calculation of the Wilson loop in supersymmetric matrix quantum mechanics, Phys. Rev. Lett.102 (2009) 181602 [arXiv:0811.2081] [INSPIRE].
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
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1905.02632
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Hashimoto, K., Sasaki, W. & Sumimoto, T. 1/N correction in holographic Wilson loop from quantum gravity. J. High Energ. Phys. 2019, 138 (2019). https://doi.org/10.1007/JHEP12(2019)138
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP12(2019)138