Abstract
We consider antiparallel Wilson lines in \( \mathcal{N} \) = 4 super Yang-Mills in the presence of a codimension-1 defect. We compute the Wilson lines’ expectation value both at weak coupling, in the gauge theory, and at strong coupling, by finding the string configurations which are dual to this operator. These configurations display a Gross-Ooguri transition between a connected, U-shaped string phase and a phase in which the string breaks into two disconnected surfaces. We analyze in detail the critical configurations separating the two phases and compare the string result with the gauge theory one in a certain double scaling limit.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
J.M. Maldacena, Wilson loops in large-N field theories, Phys. Rev. Lett. 80 (1998) 4859 [hep-th/9803002] [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].
V. Forini, Quark-antiquark potential in AdS at one loop, JHEP 11 (2010) 079 [arXiv:1009.3939] [INSPIRE].
N. Drukker and V. Forini, Generalized quark-antiquark potential at weak and strong coupling, JHEP 06 (2011) 131 [arXiv:1105.5144] [INSPIRE].
D. Correa, J. Maldacena and A. Sever, The quark anti-quark potential and the cusp anomalous dimension from a TBA equation, JHEP 08 (2012) 134 [arXiv:1203.1913] [INSPIRE].
W. Nahm, A Simple Formalism for the BPS Monopole, Phys. Lett. 90B (1980) 413 [INSPIRE].
D.-E. Diaconescu, D-branes, monopoles and Nahm equations, Nucl. Phys. B 503 (1997) 220 [hep-th/9608163] [INSPIRE].
A. Giveon and D. Kutasov, Brane dynamics and gauge theory, Rev. Mod. Phys. 71 (1999) 983 [hep-th/9802067] [INSPIRE].
N.R. Constable, R.C. Myers and O. Tafjord, The noncommutative bion core, Phys. Rev. D 61 (2000) 106009 [hep-th/9911136] [INSPIRE].
M. de Leeuw, A.C. Ipsen, C. Kristjansen and M. Wilhelm, Introduction to Integrability and One-point Functions in \( \mathcal{N} \) = 4 SYM and its Defect Cousin, arXiv:1708.02525 [INSPIRE].
O. DeWolfe, D.Z. Freedman and H. Ooguri, Holography and defect conformal field theories, Phys. Rev. D 66 (2002) 025009 [hep-th/0111135] [INSPIRE].
J. Erdmenger, Z. Guralnik and I. Kirsch, Four-dimensional superconformal theories with interacting boundaries or defects, Phys. Rev. D 66 (2002) 025020 [hep-th/0203020] [INSPIRE].
I. Buhl-Mortensen, M. de Leeuw, A.C. Ipsen, C. Kristjansen and M. Wilhelm, One-loop one-point functions in gauge-gravity dualities with defects, Phys. Rev. Lett. 117 (2016) 231603 [arXiv:1606.01886] [INSPIRE].
I. Buhl-Mortensen, M. de Leeuw, A.C. Ipsen, C. Kristjansen and M. Wilhelm, A Quantum Check of AdS/dCFT, JHEP 01 (2017) 098 [arXiv:1611.04603] [INSPIRE].
K. Nagasaki, H. Tanida and S. Yamaguchi, Holographic interface-particle potential, JHEP 01 (2012) 139 [arXiv:1109.1927] [INSPIRE].
K. Nagasaki and S. Yamaguchi, Expectation values of chiral primary operators in holographic interface CFT, Phys. Rev. D 86 (2012) 086004 [arXiv:1205.1674] [INSPIRE].
M. de Leeuw, A.C. Ipsen, C. Kristjansen and M. Wilhelm, One-loop Wilson loops and the particle-interface potential in AdS/dCFT, Phys. Lett. B 768 (2017) 192 [arXiv:1608.04754] [INSPIRE].
J. Aguilera-Damia, D.H. Correa and V.I. Giraldo-Rivera, Circular Wilson loops in defect Conformal Field Theory, JHEP 03 (2017) 023 [arXiv:1612.07991] [INSPIRE].
D.J. Gross and H. Ooguri, Aspects of large-N gauge theory dynamics as seen by string theory, Phys. Rev. D 58 (1998) 106002 [hep-th/9805129] [INSPIRE].
P. Olesen and K. Zarembo, Phase transition in Wilson loop correlator from AdS/CFT correspondence, hep-th/0009210 [INSPIRE].
K. Zarembo, String breaking from ladder diagrams in SYM theory, JHEP 03 (2001) 042 [hep-th/0103058] [INSPIRE].
N. Gromov and F. Levkovich-Maslyuk, Quantum Spectral Curve for a cusped Wilson line in \( \mathcal{N} \) = 4 SYM, JHEP 04 (2016) 134 [arXiv:1510.02098] [INSPIRE].
M. Bonini, L. Griguolo, M. Preti and D. Seminara, Bremsstrahlung function, leading Lüscher correction at weak coupling and localization, JHEP 02 (2016) 172 [arXiv:1511.05016] [INSPIRE].
V. Forini, V. Giangreco M. Puletti, L. Griguolo, D. Seminara and E. Vescovi, Precision calculation of 1/4-BPS Wilson loops in AdS 5 × S 5, 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].
V. Forini, A.A. Tseytlin and E. Vescovi, Perturbative computation of string one-loop corrections to Wilson loop minimal surfaces in AdS 5 × S 5, JHEP 03 (2017) 003 [arXiv:1702.02164] [INSPIRE].
J. Gomis and C. Romelsberger, Bubbling defect CFT’s, JHEP 08 (2006) 050 [hep-th/0604155] [INSPIRE].
E. D’Hoker, J. Estes and M. Gutperle, Exact half-BPS Type IIB interface solutions. I. Local solution and supersymmetric Janus, JHEP 06 (2007) 021 [arXiv:0705.0022] [INSPIRE].
E. D’Hoker, J. Estes and M. Gutperle, Exact half-BPS Type IIB interface solutions. II. Flux solutions and multi-Janus, JHEP 06 (2007) 022 [arXiv:0705.0024] [INSPIRE].
J. Estes, A. O’Bannon, E. Tsatis and T. Wrase, Holographic Wilson Loops, Dielectric Interfaces and Topological Insulators, Phys. Rev. D 87 (2013) 106005 [arXiv:1210.0534] [INSPIRE].
J.K. Erickson, G.W. Semenoff, R.J. Szabo and K. Zarembo, Static potential in N = 4 supersymmetric Yang-Mills theory, Phys. Rev. D 61 (2000) 105006 [hep-th/9911088] [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].
A. Pineda, The static potential in N = 4 supersymmetric Yang-Mills at weak coupling, Phys. Rev. D 77 (2008) 021701 [arXiv:0709.2876] [INSPIRE].
E. Tonni, Corner contributions to holographic entanglement entropy in AdS 4 /BCFT 3, talk at Integrability in Gauge and String Theory, ENS Paris, France, 20 July 2017, http://www.phys.ens.fr/∼igst17/slides/Tonni.pdf.
I. Buhl-Mortensen, M. de Leeuw, C. Kristjansen and K. Zarembo, One-point Functions in AdS/dCFT from Matrix Product States, JHEP 02 (2016) 052 [arXiv:1512.02532] [INSPIRE].
E. Vescovi, Perturbative and non-perturbative approaches to string sigma-models in AdS/CFT, https://edoc.hu-berlin.de/docviews/abstract.php?id=42898.
N. Drukker, D.J. Gross and A.A. Tseytlin, Green-Schwarz string in AdS 5 × S 5 : Semiclassical partition function, JHEP 04 (2000) 021 [hep-th/0001204] [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].
R. Bergamin and A.A. Tseytlin, Heat kernels on cone of AdS 2 and k-wound circular Wilson loop in AdS 5 × S 5 superstring, J. Phys. A 49 (2016) 14LT01 [arXiv:1510.06894] [INSPIRE].
M. de Leeuw, A.C. Ipsen, C. Kristjansen, K.E. Vardinghus and M. Wilhelm, Two-point functions in AdS/dCFT and the boundary conformal bootstrap equations, JHEP 08 (2017) 020 [arXiv:1705.03898] [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: 1708.04884
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, 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 license, and indicate if changes were made.
About this article
Cite this article
Preti, M., Trancanelli, D. & Vescovi, E. Quark-antiquark potential in defect conformal field theory. J. High Energ. Phys. 2017, 79 (2017). https://doi.org/10.1007/JHEP10(2017)079
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP10(2017)079