Wilson loops in 3-dimensional N = 6 supersymmetric Chern-Simons theory and their string theory duals

Journal of High Energy Physics

Volumn 2008, Issue 11, 2008, Pages

  Drukker, Nadav ^a   Plefka, Jan ^a   Young, Donovan ^a  

^a HUMBOLDT UNIVERSITY   (Germany)

Author keywords

AdS CFT correspondence; Chern Simons theories; D branes

Indexed keywords

EID: 58149302232     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2008/11/019     Document Type: Article

References (58)

1. O. Aharony, O. Bergman, D.L. Jafferis and J. Maldacena, N = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals [0806.1218]
2. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity 1998 Adv. Theor. Math. Phys. 2 231 [1999 Int. J. Theor. Phys. 38 1113 ] [hep-th/9711200]
3. S.-J. Rey and J.-T. Yee, Macroscopic strings as heavy quarks in large-N gauge theory and anti-de Sitter supergravity 2001 Eur. Phys. J. C 22 379 [hep-th/9803001]
4. J.M. Maldacena, Wilson loops in large-N field theories 1998 Phys. Rev. Lett. 80 4859 [hep-th/9803002]
5. J.K. Erickson, G.W. Semenoff and K. Zarembo, Wilson loops in N = 4 supersymmetric Yang-Mills theory 2000 Nucl. Phys. B 582 155 [hep-th/0003055]
6. N. Drukker and D.J. Gross, An exact prediction of N = 4 SUSYM theory for string theory 2001 J. Math. Phys. 42 2896 [hep-th/0010274]
7. V. Pestun, Localization of gauge theory on a four-sphere and supersymmetric Wilson loops [0712.2824]
8. N. Drukker, D.J. Gross and H. Ooguri, Wilson loops and minimal surfaces 1999 Phys. Rev. D 60 125006 [hep-th/9904191]
9. L. F. Alday and Z. Komargodski, private communication
10. J. Gomis and F. Passerini, private communication
11. D. Berenstein and D. Trancanelli, Three-dimensional N = 6 SCFT's and their membrane dynamics [0808.2503]
12. B. Chen and J.-B. Wu, Supersymmetric Wilson loops in N = 6 super Chern-Simons-matter theory [0809.2863]
13. S.-J. Rey, T. Suyama and S. Yamaguchi, Wilson loops in superconformal Chern-Simons theory and fundamental strings in Anti-de Sitter supergravity dual [0809.3786]
14. D. Gaiotto, S. Giombi and X. Yin, Spin chains in N = 6 superconformal Chern-Simons-matter theory [0806.4589]
15. R-symmetry, 2008 J. High Energy Phys. JHEP09(2008)027 [0807.0880]
16. G. 't Hooft, On the phase transition towards permanent quark confinement 1978 Nucl. Phys. B 138 1
17. G.W. Moore and N. Seiberg, Taming the conformal zoo 1989 Phys. Lett. B 220 422
18. E. Witten, Quantum field theory and the Jones polynomial 1989 Comm. Math. Phys. 121 351
19. E. Guadagnini, M. Martellini and M. Mintchev, Wilson lines in Chern-Simons theory and link invariants 1990 Nucl. Phys. B 330 575
20. M. Alvarez and J.M.F. Labastida, Analysis of observables in Chern-Simons perturbation theory 1993 Nucl. Phys. B 395 198 [hep-th/9110069]
21. D. Gaiotto and X. Yin, Notes on superconformal Chern-Simons-matter theories 2007 J. High Energy Phys. JHEP08(2007)056 [0704.3740]
22. T. Nishioka and T. Takayanagi, On type IIA Penrose limit and N = 6 Chern-Simons theories 2008 J. High Energy Phys. JHEP08(2008)001 [0806.3391]
23. G. Grignani, T. Harmark and M. Orselli, The SU(2) × SU(2) sector in the string dual of N = 6 superconformal Chern-Simons theory, [0806.4959]
24. N. Drukker, 1/4 BPS circular loops, unstable world-sheet instantons and the matrix model 2006 J. High Energy Phys. JHEP09(2006)004 [hep-th/0605151]
25. N. Drukker, S. Giombi, R. Ricci and D. Trancanelli, More supersymmetric Wilson loops 2007 Phys. Rev. D 76 107703 [0704.2237]
26. N. Drukker, S. Giombi, R. Ricci and D. Trancanelli, Wilson loops: from four-dimensional SYM to two-dimensional YM 2008 Phys. Rev. D 77 047901 [0707.2699]
27. 3 2008 J. High Energy Phys. JHEP05(2008)017 [0711.3226]
28. G.W. Semenoff and D. Young, Exact 1/4 BPS loop: chiral primary correlator 2006 Phys. Lett. B 643 195 [hep-th/0609158]
29. A. Bassetto, L. Griguolo, F. Pucci and D. Seminara, Supersymmetric Wilson loops at two loops 2008 J. High Energy Phys. JHEP06(2008)083 [0804.3973]
30. 2 at higher loops 2008 J. High Energy Phys. JHEP05(2008)077 [0804.4098]
31. M. Cvetic, H. Lü and C.N. Pope, Consistent warped-space Kaluza-Klein reductions, half-maximal gauged supergravities and CP(n) constructions 2001 Nucl. Phys. B 597 172 [hep-th/0007109]
32. C. Fefferman and R. Graham, Conformal invariants Astèrisque Hors Série (1995) 95
33. N. Drukker and B. Fiol, All-genus calculation of Wilson loops using D-branes 2005 J. High Energy Phys. JHEP02(2005)010 [hep-th/0501109]
34. N. Drukker, J. Gomis and S. Matsuura, Probing N = 4 SYM with surface operators 2008 J. High Energy Phys. JHEP10(2008)048 [0805.4199]
35. M. Kruczenski, A note on twist two operators in N = 4 SYM and Wilson loops in Minkowski signature 2002 J. High Energy Phys. JHEP12(2002)024 [hep-th/0210115]
36. D.E. Berenstein, R. Corrado, W. Fischler and J.M. Maldacena, The operator product expansion for Wilson loops and surfaces in the large-N limit 1999 Phys. Rev. D 59 105023 [hep-th/9809188]
37. S. Yamaguchi, Wilson loops of anti-symmetric representation and D5-branes 2006 J. High Energy Phys. JHEP05(2006)037 [hep-th/0603208]
38. J. Gomis and F. Passerini, Holographic Wilson loops 2006 J. High Energy Phys. JHEP08(2006)074 [hep-th/0604007]
39. K. Okuyama and G.W. Semenoff, Wilson loops in N = 4 SYM and fermion droplets 2006 J. High Energy Phys. JHEP06(2006)057 [hep-th/0604209]
40. S.A. Hartnoll and S.P. Kumar, Higher rank Wilson loops from a matrix model 2006 J. High Energy Phys. JHEP08(2006)026 [hep-th/0605027]
41. J. Gomis and F. Passerini, Wilson loops as D3-branes 2007 J. High Energy Phys. JHEP01(2007)097 [hep-th/0612022]
42. J. McGreevy, L. Susskind and N. Toumbas, Invasion of the giant gravitons from anti-de Sitter space 2000 J. High Energy Phys. JHEP06(2000)008 [hep-th/0003075]
43. M.T. Grisaru, R.C. Myers and O. Tafjord, SUSY and Goliath 2000 J. High Energy Phys. JHEP08(2000)040 [hep-th/0008015]
44. A. Hashimoto, S. Hirano and N. Itzhaki, Large branes in AdS and their field theory dual 2000 J. High Energy Phys. JHEP08(2000)051 [hep-th/0008016]
45. H. Lin, O. Lunin and J.M. Maldacena, Bubbling AdS space and 1/2 BPS geometries 2004 J. High Energy Phys. JHEP10(2004)025 [hep-th/0409174]
46. S. Yamaguchi, Bubbling geometries for half BPS Wilson lines 2007 Int. J. Mod. Phys. A 22 1353 [hep-th/0601089]
47. O. Lunin, On gravitational description of Wilson lines 2006 J. High Energy Phys. JHEP06(2006)026 [hep-th/0604133]
48. E. D'Hoker, J. Estes and M. Gutperle, Gravity duals of half-BPS Wilson loops 2007 J. High Energy Phys. JHEP06(2007)063 [0705.1004]
49. T. Okuda and D. Trancanelli, Spectral curves, emergent geometry and bubbling solutions for Wilson loops 2008 J. High Energy Phys. JHEP09(2008)050 [0806.4191]
50. J. Gomis, S. Matsuura, T. Okuda and D. Trancanelli, Wilson loop correlators at strong coupling: from matrices to bubbling geometries 2008 J. High Energy Phys. JHEP08(2008)068 [0807.3330]
51. O. Lunin, 1/2-BPS states in M-theory and defects in the dual CFTs 2007 J. High Energy Phys. JHEP10(2007)014 [0704.3442]
52. N. Drukker, J. Gomis and D. Young, Vortex loop operators, M2-branes and holography [0810.4344]
53. A. Mikhailov, Giant gravitons from holomorphic surfaces 2000 J. High Energy Phys. JHEP11(2000)027 [hep-th/0010206]
54. N. Drukker, S. Giombi, R. Ricci and D. Trancanelli, On the D3-brane description of some 1/4 BPS Wilson loops 2007 J. High Energy Phys. JHEP04(2007)008 [hep-th/0612168]
55. M. Cederwall, A. von Gussich, B.E.W. Nilsson, P. Sundell and A. Westerberg, The Dirichlet super-p-branes in ten-dimensional type IIA and IIB supergravity 1997 Nucl. Phys. B 490 179 [hep-th/9611159]
56. W. Chen, G.W. Semenoff and Y.-S. Wu, Two loop analysis of nonabelian Chern-Simons theory 1992 Phys. Rev. D 46 5521 [hep-th/9209005]
57. 3 correspondence 2008 J. High Energy Phys. JHEP09(2008)072 [0806.1519]
58. T. Nishioka and T. Takayanagi, Fuzzy ring from M2-brane giant torus [0808.2691]