Skip to main content
Log in

Wilson loops in 3d QFT from D-branes in AdS4×CP3

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal C Aims and scope Submit manuscript

Abstract

We study the Wilson loops in three-dimensional QFT from the D-branes in the AdS4×CP3 geometry. We find explicit D-brane configurations in the bulk which correspond to both straight and circular Wilson lines extended to the boundary of AdS4. We analyze critically the role of boundary contributions to the D2-branes with various topology and fundamental string actions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. O. Aharony, O. Bergman, D.L. Jafferis, J. Maldacena, N=6 superconformal Chern–Simons-matter theories, M2-branes and their gravity duals. arXiv:0806.1218 [hep-th]

  2. J.A. Minahan, K. Zarembo, The Bethe ansatz for superconformal Chern–Simons. arXiv:0806.3951 [hep-th]

  3. D. Gaiotto, S. Giombi, X. Yin, Spin chains in N=6 superconformal Chern–Simons-matter theory. arXiv:0806.4589 [hep-th]

  4. N. Gromov, P. Vieira, The all loop AdS4/CFT3 Bethe ansatz. arXiv:0807.0777 [hep-th]

  5. G. Grignani, T. Harmark, M. Orselli, G.W. Semenoff, Finite size giant magnons in the string dual of N=6 superconformal Chern–Simons theory. arXiv:0807.0205 [hep-th]

  6. C. Ahn, P. Bozhilov, Finite-size effects of membranes on AdS 4×S 7. J. High Energy Phys. 0808, 054 (2008). arXiv:0807.0566 [hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  7. B. Chen, J.B. Wu, Semi-classical strings in AdS4×CP3. arXiv:0807.0802 [hep-th]

  8. D. Astolfi, V.G.M. Puletti, G. Grignani, T. Harmark, M. Orselli, Finite-size corrections in the SU(2)×SU(2) sector of type IIA string theory on AdS 4×CP 3. arXiv:0807.1527 [hep-th]

  9. C. Ahn, R.I. Nepomechie, N=6 super Chern–Simons theory S-matrix and all-loop Bethe ansatz equations. arXiv:0807.1924 [hep-th]

  10. B.H. Lee, K.L. Panigrahi, C. Park, Spiky strings on AdS 4×CP 3 arXiv:0807.2559 [hep-th]

  11. I. Shenderovich, Giant magnons in AdS 4/CFT 3: dispersion, quantization and finite-size corrections. arXiv:0807.2861 [hep-th]

  12. C. Ahn, P. Bozhilov, R.C. Rashkov, Neumann-Rosochatius integrable system for strings on AdS 4×CP 3. arXiv:0807.3134 [hep-th]

  13. T. McLoughlin, R. Roiban, Spinning strings at one-loop in AdS 4×P 3. arXiv:0807.3965 [hep-th]

  14. L.F. Alday, G. Arutyunov, D. Bykov, Semiclassical quantization of spinning Strings in AdS 4×CP 3. arXiv:0807.4400 [hep-th]

  15. C. Krishnan, AdS 4/CFT 3 at one loop. arXiv:0807.4561 [hep-th]

  16. N. Gromov, V. Mikhaylov, Comment on the scaling function in AdS 4×CP 3. arXiv:0807.4897 [hep-th]

  17. M. Benna, I. Klebanov, T. Klose, M. Smedback, Superconformal Chern–Simons theories and AdS 4/CFT 3 correspondence. arXiv:0806.1519 [hep-th]

  18. J. Bhattacharya, S. Minwalla, Superconformal indices for \(\mathcal{N}=6\) Chern–Simons theories. arXiv:0806.3251 [hep-th]

  19. T. Nishioka, T. Takayanagi, On type IIA Penrose limit and N=6 Chern–Simons theories. J. High Energy Phys. 0808, 001 (2008). arXiv:0806.3391 [hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  20. Y. Honma, S. Iso, Y. Sumitomo, S. Zhang, Scaling limit of N=6 superconformal Chern–Simons theories and Lorentzian Bagger–Lambert theories. arXiv:0806.3498 [hep-th]

  21. Y. Imamura, K. Kimura, Coulomb branch of generalized ABJM models. arXiv:0806.3727 [hep-th]

  22. A. Armoni, A. Naqvi, A non-supersymmetric large-N 3D CFT and its gravity dual. arXiv:0806.4068 [hep-th]

  23. K. Hosomichi, K.M. Lee, S. Lee, S. Lee, J. Park, N=5,6 superconformal Chern–Simons theories and M2-branes on orbifolds. arXiv:0806.4977 [hep-th]

  24. P. Fre, P.A. Grassi, Pure spinor formalism for Osp(N|4) backgrounds. arXiv:0807.0044 [hep-th]

  25. K. Okuyama, Linear sigma models for the R 8/Z k orbifold. arXiv:0807.0047 [hep-th]

  26. J. Bagger, N. Lambert, Three-algebras and N=6 Chern–Simons gauge theories. arXiv:0807.0163 [hep-th]

  27. M.A. Bandres, A.E. Lipstein, J.H. Schwarz, Studies of the ABJM theory in a formulation with manifest SU(4) R-symmetry. J. High Energy Phys. 0809, 027 (2008). arXiv:0807.0880 [hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  28. M. Schnabl, Y. Tachikawa, Classification of N=6 superconformal theories of ABJM type. arXiv:0807.1102 [hep-th]

  29. M.R. Garousi, A. Ghodsi, M. Khosravi, On thermodynamics of N=6 superconformal Chern–Simons theories at strong coupling. J. High Energy Phys. 0808, 067 (2008). arXiv:0807.1478 [hep-th]

    MathSciNet  ADS  Google Scholar 

  30. K. Hanaki, H. Lin, M2–M5 systems in N=6 Chern–Simons theory. arXiv:0807.2074 [hep-th]

  31. J. Kluson, D2 to M2 procedure for D2-brane DBI effective action. arXiv:0807.4054 [hep-th]

  32. M.R. Garousi, A. Ghodsi, Hydrodynamics of N=6 superconformal Chern–Simons theories at strong coupling. arXiv:0808.0411 [hep-th]

  33. H. Ooguri, C.S. Park, Superconformal Chern–Simons theories and the squashed seven sphere. arXiv:0808.0500 [hep-th]

  34. D.L. Jafferis, A. Tomasiello, A simple class of N=3 gauge/gravity duals. arXiv:0808.0864 [hep-th]

  35. R. D’Auria, P. Fre’, P.A. Grassi, M. Trigiante, Superstrings on AdS 4×CP 3 from supergravity. arXiv:0808.1282 [hep-th]

  36. D. Berenstein, D. Trancanelli, Three-dimensional N=6 SCFT’s and their membrane dynamics. arXiv:0808.2503 [hep-th]

  37. R.C. Rashkov, A note on the reduction of the AdS 4×CP 3 string sigma model. arXiv:0808.3057 [hep-th]

  38. E. Witten, Quantum field theory and the Jones polynomial. Commun. Math. Phys. 121, 351 (1989)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  39. J.M. Maldacena, The large N limit of superconformal field theories and supergravity. Adv. Theor. Math. Phys. 2, 231 (1998) [Int. J. Theor. Phys. 38 (1999) 1113]. arXiv:hep-th/9711200

    MATH  MathSciNet  ADS  Google Scholar 

  40. J.M. Maldacena, Wilson loops in large N field theories. Phys. Rev. Lett. 80, 4859 (1998). arXiv:hep-th/9803002

    Article  MATH  MathSciNet  ADS  Google Scholar 

  41. S.J. Rey, J.T. Yee, Macroscopic strings as heavy quarks in large N gauge theory and anti-de Sitter supergravity. Eur. Phys. J. C 22, 379 (2001). arXiv:hep-th/9803001

    Article  MATH  MathSciNet  ADS  Google Scholar 

  42. R. Ishizeki, M. Kruczenski, A. Tirziu, New open string solutions in AdS 5. arXiv:0804.3438 [hep-th]

  43. J. Gomis, F. Passerini, Holographic Wilson loops. J. High Energy Phys. 0608, 074 (2006). arXiv:hep-th/0604007

    Article  MathSciNet  ADS  Google Scholar 

  44. G. Bonelli, H. Safaai, On gauge/string correspondence and mirror symmetry. arXiv:0804.2629 [hep-th]

  45. B. Chen, J.B. Wu, Wilson-Polyakov surfaces and M-theory branes. arXiv:0802.2173 [hep-th]

  46. N. Drukker, S. Giombi, R. Ricci, D. Trancanelli, Supersymmetric Wilson loops on S 3. J. High Energy Phys. 0805, 017 (2008). arXiv:0711.3226 [hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  47. O. Lunin, Gravitational description of field theories. Nucl. Phys. Proc. Suppl. 171, 99 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  48. M. Sakaguchi, K. Yoshida, A semiclassical string description of Wilson loop with local operators. Nucl. Phys. B 798, 72 (2008). arXiv:0709.4187 [hep-th]

    Article  MATH  MathSciNet  ADS  Google Scholar 

  49. C.S. Chu, D. Giataganas, 1/4 BPS Wilson loop in beta-deformed theories. J. High Energy Phys. 0710, 108 (2007). arXiv:0708.0797 [hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  50. B. Chen, W. He, J.B. Wu, L. Zhang, M5-branes and Wilson surfaces. J. High Energy Phys. 0708, 067 (2007). arXiv:0707.3978 [hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  51. J. Gomis, T. Okuda, Wilson loops, geometric transitions and bubbling Calabi–Yau’s. J. High Energy Phys. 0702, 083 (2007). arXiv:hep-th/0612190

    Article  MathSciNet  ADS  Google Scholar 

  52. N. Drukker, S. Giombi, R. Ricci, D. Trancanelli, On the D3-brane description of some 1/4 BPS Wilson loops. J. High Energy Phys. 0704, 008 (2007). arXiv:hep-th/0612168

    Article  MathSciNet  ADS  Google Scholar 

  53. J. Gomis, F. Passerini, Wilson loops as D3-branes. J. High Energy Phys. 0701, 097 (2007). arXiv:hep-th/0612022

    Article  MathSciNet  ADS  Google Scholar 

  54. A. Armoni, Anomalous dimensions from a spinning D5-brane. J. High Energy Phys. 0611, 009 (2006). arXiv:hep-th/0608026

    Article  MathSciNet  ADS  Google Scholar 

  55. N. Drukker, 1/4 BPS circular loops, unstable world-sheet instantons and the matrix model. J. High Energy Phys. 0609, 004 (2006). arXiv:hep-th/0605151

    Article  MathSciNet  ADS  Google Scholar 

  56. O. Lunin, On gravitational description of Wilson lines. J. High Energy Phys. 0606, 026 (2006). arXiv:hep-th/0604133

    Article  MathSciNet  ADS  Google Scholar 

  57. N. Drukker, B. Fiol, All-genus calculation of Wilson loops using D-branes. J. High Energy Phys. 0502, 010 (2005). arXiv:hep-th/0501109

    Article  MathSciNet  ADS  Google Scholar 

  58. S.A. Hartnoll, S. Prem Kumar, Multiply wound Polyakov loops at strong coupling. Phys. Rev. D 74, 026001 (2006). arXiv:hep-th/0603190

    Article  MathSciNet  ADS  Google Scholar 

  59. S.A. Hartnoll, Two universal results for Wilson loops at strong coupling. Phys. Rev. D 74, 066006 (2006). arXiv:hep-th/0606178

    Article  MathSciNet  ADS  Google Scholar 

  60. S. Gukov, E. Witten, Rigid surface operators. arXiv:0804.1561 [hep-th]

  61. S. Gukov, E. Witten, Gauge theory, ramification, and the geometric Langlands program. arXiv:hep-th/0612073

  62. N. Drukker, J. Plefka, D. Young, Wilson loops in 3-dimensional N=6 supersymmetric Chern–Simons theory and their string theory duals. arXiv:0809.2787 [hep-th]

  63. B. Chen, J.B. Wu, Supersymmetric Wilson loops in N=6 super Chern–Simons-matter theory. arXiv:0809.2863 [hep-th]

  64. N.R. Constable, J. Erdmenger, Z. Guralnik, I. Kirsch, Intersecting D3-branes and holography. Phys. Rev. D 68, 106007 (2003). arXiv:hep-th/0211222

    Article  MathSciNet  ADS  Google Scholar 

  65. N. Drukker, J. Gomis, S. Matsuura, Probing N=4 SYM with surface operators. J. High Energy Phys. 0810, 048 (2008). arXiv:0805.4199 [hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  66. S. Yamaguchi, Wilson loops of anti-symmetric representation and D5-branes. J. High Energy Phys. 0605, 037 (2006). arXiv:hep-th/0603208

    Article  ADS  Google Scholar 

  67. N. Drukker, D.J. Gross, An exact prediction of N=4 SUSYM theory for string theory. J. Math. Phys. 42, 2896 (2001). arXiv:hep-th/0010274

    Article  MATH  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to J. Klusoň.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Klusoň, J., Panigrahi, K.L. Wilson loops in 3d QFT from D-branes in AdS4×CP3 . Eur. Phys. J. C 61, 339–349 (2009). https://doi.org/10.1140/epjc/s10052-009-0986-2

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s10052-009-0986-2

Keywords

Navigation