Abstract
We construct the probe D5-brane solution in AdS5 × S5 dual to the \( \frac{1}{4} \)-BPS latitude Wilson loop in \( \mathcal{N} \) = 4 super Yang-Mills theory in the k-antisymmetric representation of SU(N). The solution is exact in the latitude parameter θ0 and correctly reproduces the \( \frac{1}{2} \)-BPS limit. We compute the string charge k and the renormalized on-shell action perturbatively to order \( \mathcal{O}\left({\theta}_0^{10}\right) \) and find full agreement with the expectation value of the Wilson loop predicted by the Gaussian matrix model in the limit N ∼ k → ∞, λ → ∞.
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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].
J.M. Maldacena, Wilson loops in large N field theories, Phys. Rev. Lett. 80 (1998) 4859 [hep-th/9803002] [INSPIRE].
J.M. Maldacena, The large N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200] [INSPIRE].
N. Drukker and B. Fiol, On the integrability of Wilson loops in AdS5 × S5: some periodic ansatze, JHEP 01 (2006) 056 [hep-th/0506058] [INSPIRE].
N. Drukker, 1/4 BPS circular loops, unstable world-sheet instantons and the matrix model, JHEP 09 (2006) 004 [hep-th/0605151] [INSPIRE].
J.K. Erickson, G.W. Semenoff and K. Zarembo, Wilson loops in N=4 supersymmetric Yang-Mills theory, Nucl. Phys. B 582 (2000) 155 [hep-th/0003055] [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].
K. Zarembo, Supersymmetric Wilson loops, Nucl. Phys. B 643 (2002) 157 [hep-th/0205160] [INSPIRE].
N. Drukker, S. Giombi, R. Ricci and D. Trancanelli, More supersymmetric Wilson loops, Phys. Rev. D 76 (2007) 107703 [arXiv:0704.2237] [INSPIRE].
N. Drukker, S. Giombi, R. Ricci and D. Trancanelli, Supersymmetric Wilson loops on S3, JHEP 05 (2008) 017 [arXiv:0711.3226] [INSPIRE].
N. Drukker, S. Giombi, R. Ricci and D. Trancanelli, Wilson loops: from four-dimensional SYM to two-dimensional YM, Phys. Rev. D 77 (2008) 047901 [arXiv:0707.2699] [INSPIRE].
V. Forini et al., Precision calculation of 1/4-BPS Wilson loops in AdS5 × S5, JHEP 02 (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, JHEP 04 (2016) 053 [arXiv:1601.04708] [INSPIRE].
J. Aguilera-Damia et al., Zeta-function regularization of holographic Wilson loops, Phys. Rev. D 98 (2018) 046011 [arXiv:1802.03016] [INSPIRE].
V. Forini, A.A. Tseytlin and E. Vescovi, Perturbative computation of string one-loop corrections to Wilson loop minimal surfaces in AdS5 × S5, JHEP 03 (2017) 003 [arXiv:1702.02164] [INSPIRE].
A. Cagnazzo, D. Medina-Rincon and K. Zarembo, String corrections to circular Wilson loop and anomalies, JHEP 02 (2018) 120 [arXiv:1712.07730] [INSPIRE].
D. Medina-Rincon, A.A. Tseytlin and K. Zarembo, Precision matching of circular Wilson loops and strings in AdS5 × S5, JHEP 05 (2018) 199 [arXiv:1804.08925] [INSPIRE].
V. Pestun, Localization of gauge theory on a four-sphere and supersymmetric Wilson loops, Commun. Math. Phys. 313 (2012) 71 [arXiv:0712.2824] [INSPIRE].
V. Pestun, Localization of the four-dimensional N=4 SYM to a two-sphere and 1/8 BPS Wilson loops, JHEP 12 (2012) 067 [arXiv:0906.0638] [INSPIRE].
S.A. Hartnoll and S.P. Kumar, Higher rank Wilson loops from a matrix model, JHEP 08 (2006) 026 [hep-th/0605027] [INSPIRE].
S. Yamaguchi, Wilson loops of anti-symmetric representation and D5-branes, JHEP 05 (2006) 037 [hep-th/0603208] [INSPIRE].
J. Gomis and F. Passerini, Holographic Wilson loops, JHEP 08 (2006) 074 [hep-th/0604007] [INSPIRE].
J. Gomis and F. Passerini, Wilson loops as D3-branes, JHEP 01 (2007) 097 [hep-th/0612022] [INSPIRE].
S. Yamaguchi, Bubbling geometries for half BPS Wilson lines, Int. J. Mod. Phys. A 22 (2007) 1353 [hep-th/0601089] [INSPIRE].
O. Lunin, On gravitational description of Wilson lines, JHEP 06 (2006) 026 [hep-th/0604133] [INSPIRE].
E. D’Hoker, J. Estes and M. Gutperle, Gravity duals of half-BPS Wilson loops, JHEP 06 (2007) 063 [arXiv:0705.1004] [INSPIRE].
N. Drukker, S. Giombi, R. Ricci and D. Trancanelli, On the D3-brane description of some 1/4 BPS Wilson loops, JHEP 04 (2007) 008 [hep-th/0612168] [INSPIRE].
L. Martucci, J. Rosseel, D. Van den Bleeken and A. Van Proeyen, Dirac actions for D-branes on backgrounds with fluxes, Class. Quant. Grav. 22 (2005) 2745 [hep-th/0504041] [INSPIRE].
N. Drukker, D.J. Gross and H. Ooguri, Wilson loops and minimal surfaces, Phys. Rev. D 60 (1999) 125006 [hep-th/9904191] [INSPIRE].
N. Drukker and B. Fiol, All-genus calculation of Wilson loops using D-branes, JHEP 02 (2005) 010 [hep-th/0501109] [INSPIRE].
S.A. Hartnoll, Two universal results for Wilson loops at strong coupling, Phys. Rev. D 74 (2006) 066006 [hep-th/0606178] [INSPIRE].
R.C. Myers, Dielectric branes, JHEP 12 (1999) 022 [hep-th/9910053] [INSPIRE].
V. Forini et al., Remarks on the geometrical properties of semiclassically quantized strings, J. Phys. A 48 (2015) 475401 [arXiv:1507.01883] [INSPIRE].
A. Faraggi and L.A. Pando Zayas, The spectrum of excitations of holographic Wilson loops, JHEP 05 (2011) 018 [arXiv:1101.5145] [INSPIRE].
A. Faraggi, W. Mueck and L.A. Pando Zayas, One-loop effective action of the holographic antisymmetric Wilson loop, Phys. Rev. D 85 (2012) 106015 [arXiv:1112.5028] [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].
S. Giombi, J. Jiang and S. Komatsu, Giant Wilson loops and AdS2/dCFT1, JHEP 11 (2020) 064 [arXiv:2005.08890] [INSPIRE].
A. Dymarsky, S.S. Gubser, Z. Guralnik and J.M. Maldacena, Calibrated surfaces and supersymmetric Wilson loops, JHEP 09 (2006) 057 [hep-th/0604058] [INSPIRE].
M. Mezei, S.S. Pufu and Y. Wang, Chern-Simons theory from M5-branes and calibrated M2-branes, JHEP 08 (2019) 165 [arXiv:1812.07572] [INSPIRE].
N. Drukker and M. Trepanier, M2-doughnuts, JHEP 02 (2022) 071 [arXiv:2111.09385] [INSPIRE].
N. Drukker and M. Trépanier, BPS surface operators and calibrations, J. Phys. A 56 (2023) 175403 [arXiv:2210.07251] [INSPIRE].
N. Drukker, D.J. Gross and A.A. Tseytlin, Green-Schwarz string in AdS5 × S5: semiclassical partition function, JHEP 04 (2000) 021 [hep-th/0001204] [INSPIRE].
Acknowledgments
We would like to thank Max Bañados, Diego Correa, Guille Silva, and Nadav Drukker for useful comments and discussions. The work of AF and CM is supported by ANID/ACT210100 Anillo Grant “Holography and its applications to High Energy Physics, Quantum Gravity and Condensed Matter Systems.” AF would like to acknowledge support from the ICTP through the Associates Programme (2022-2027).
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Faraggi, A., Moreno, C. On the D5-brane description of \( \frac{1}{4} \)-BPS Wilson loops in \( \mathcal{N} \) = 4 super Yang-Mills theory. J. High Energ. Phys. 2024, 131 (2024). https://doi.org/10.1007/JHEP07(2024)131
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DOI: https://doi.org/10.1007/JHEP07(2024)131