Abstract
We study a D3-D5 system dual to a conformal field theory with a codimension-one defect that separates regions where the ranks of the gauge groups differ by k. With the help of this additional parameter, as observed by Nagasaki, Tanida and Yamaguchi, one can define a double scaling limit in which the quantum corrections are organized in powers of λ/k 2, which should allow to extrapolate results between weak and strong coupling regimes. In particular we consider a radius R circular Wilson loop placed at a distance L, whose internal space orientation is given by an angle χ. We compute its vacuum expectation value and show that, in the double scaling limit and for small χ and small L/R, weak coupling results can be extrapolated to the strong coupling limit.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
A. Karch and L. Randall, Open and closed string interpretation of SUSY CFT’s on branes with boundaries, JHEP 06 (2001) 063 [hep-th/0105132] [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].
P. Lee and J.-w. Park, Open strings in PP wave background from defect conformal field theory, Phys. Rev. D 67 (2003) 026002 [hep-th/0203257] [INSPIRE].
O. DeWolfe and N. Mann, Integrable open spin chains in defect conformal field theory, JHEP 04 (2004) 035 [hep-th/0401041] [INSPIRE].
K. Okamura, Y. Takayama and K. Yoshida, Open spinning strings and AdS/dCFT duality, JHEP 01 (2006) 112 [hep-th/0511139] [INSPIRE].
Y. Susaki, Y. Takayama and K. Yoshida, Integrability and higher loops in AdS/dCFT correspondence, Phys. Lett. B 624 (2005) 115 [hep-th/0504209] [INSPIRE].
Y. Susaki, Y. Takayama and K. Yoshida, Open semiclassical strings and long defect operators in AdS/dCFT correspondence, Phys. Rev. D 71 (2005) 126006 [hep-th/0410139] [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].
C. Kristjansen, G.W. Semenoff and D. Young, Chiral primary one-point functions in the D3-D7 defect conformal field theory, JHEP 01 (2013) 117 [arXiv:1210.7015] [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].
M. de Leeuw, C. Kristjansen and K. Zarembo, One-point Functions in Defect CFT and Integrability, JHEP 08 (2015) 098 [arXiv:1506.06958] [INSPIRE].
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].
M. de Leeuw, C. Kristjansen and S. Mori, AdS/dCFT one-point functions of the SU(3) sector, Phys. Lett. B 763 (2016) 197 [arXiv:1607.03123] [INSPIRE].
M. de Leeuw, A.C. Ipsen, C. Kristjansen and M. Wilhelm, One-loop Wilson loops and the particle-interface potential in AdS/dCFT, arXiv:1608.04754 [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].
B. Chen, X.-J. Wang and Y.-S. Wu, Integrable open spin chain in super Yang-Mills and the plane wave/SYM duality, JHEP 02 (2004) 029 [hep-th/0401016] [INSPIRE].
D.H. Correa and C.A.S. Young, Reflecting magnons from D7 and D5 branes, J. Phys. A 41 (2008) 455401 [arXiv:0808.0452] [INSPIRE].
K. Skenderis and M. Taylor, Branes in AdS and p p wave space-times, JHEP 06 (2002) 025 [hep-th/0204054] [INSPIRE].
N. Drukker, D.J. Gross and H. Ooguri, Wilson loops and minimal surfaces, Phys. Rev. D 60 (1999) 125006 [hep-th/9904191] [INSPIRE].
K. Zarembo, Supersymmetric Wilson loops, Nucl. Phys. B 643 (2002) 157 [hep-th/0205160] [INSPIRE].
W. Nahm, Supersymmetries and their Representations, Nucl. Phys. B 135 (1978) 149 [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].
N. Drukker, D. Gaiotto and J. Gomis, The Virtue of Defects in 4D Gauge Theories and 2D CFTs, JHEP 06 (2011) 025 [arXiv:1003.1112] [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: 1612.07991
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
Aguilera-Damia, J., Correa, D.H. & Giraldo-Rivera, V.I. Circular Wilson loops in defect conformal field theory. J. High Energ. Phys. 2017, 23 (2017). https://doi.org/10.1007/JHEP03(2017)023
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP03(2017)023