Instanton corrections to circular Wilson loops in N=4 Supersymmetric Yang-Mills

Journal of High Energy Physics

Volumn 6, Issue 4, 2002, Pages 985-1032

  Bianchi, Massimo ^a   Green, Michael B ^b   Kovacs, Stefano ^b  

^a UNIVERSITY OF ROME TOR VERGATA   (Italy)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

AdS CFT and dS CFT Correspondence; Extended Supersymmetry; Non perturbative Effects; Solitons Monopoles and Instantons

Indexed keywords

EID: 23044464474     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (42)

1. O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111].
2. D.Z. Freedman and P. Henry-Labordere, Field theory insight from the AdS/CFT correspondence, hep-th/0011086.
3. M. Bianchi, (Non-)perturbative tests of the AdS/CFT correspondence, Nucl. Phys. 102 (Proc. Suppl.) (2001) 56 [hep-th/0103112].
4. E. D'Hoker and D.Z. Freedman, Supersymmetric gauge theories and the AdS/CFT correspondence, hep-th/0201253.
5. N. Drukker, D.J. Gross and H. Ooguri, Wilson loops and minimal surfaces, Phys. Rev. D 60 (1999) 125006 [hep-th/9904191];
6. H. Ooguri, Wilson loops in large-N theories, Class. and Quant. Grav. 17 (2000) 1225 [hep-th/9909040].
7. J.M. Maldacena, Wilson loops in large-N field theories, Phys. Rev. Lett. 80 (1998) 4859 [hep-th/9803002].
8. S.-J. Rey and J. 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].
9. C.R. Graham, Volume and area renormalizations for conformally compact Einstein metrics, [math.DG/9909042].
10. H. Ooguri, J. Rahmfeld, H. Robins and J. Tannenhauser, Holography in superspace, J. High Energy Phys. 07 (2000) 045 [hep-th/0007104].
11. 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].
12. 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].
13. G. Akemann and P.H. Damgaard, Wilson loops in N = 4 supersymmetric Yang-Mills theory from random matrix theory, Phys. Lett. B 513 (2001) 179 [hep-th/0101225].
14. J. Plefka and M. Staudacher, Two loops to two loops in N = 4 supersymmetric Yang-Mills theory, J. High Energy Phys. 09 (2001) 031 [hep-th/0108182];
15. G. Arutyunov, J. Plefka and M. Staudacher, Limiting geometries of two circular Maldacena-Wilson loop operators, J. High Energy Phys. 12 (2001) 014 [hep-th/0111290].
16. M. Bianchi, M.B. Green and S. Kovacs, Instantons and BPS Wilson loops, hep-th/0107028.
17. P.A.M. Dirac, Wave equations in conformal space, Ann. of Maths. 37 429 (1935) 429.
18. 5 string theory and D = 4 SUSY Yang-Mills, J. High Energy Phys. 05 (1998) 002 [hep-th/9804170].
19. M. Bianchi, M.B. Green, S. Kovacs and G. Rossi, Instantons in supersymmetric Yang-Mills and D-instantons in IIB superstring theory, J. High Energy Phys. 08 (1998) 013 [hep-th/9807033].
20. M. Bianchi, S. Kovacs, G. Rossi and Y.S. Stanev, On the logarithmic behaviour in N = 4 SYM theory, J. High Energy Phys. 08 (1999) 020 [hep-th/9906188].
21. A. Hart and M. Teper, Instantons and monopoles in the maximally abelian gauge, Phys. Lett. B 371 (1996) 261 [hep-lat/9511016].
22. R.C. Brower, K.N. Orginos and C.-I. Tan, Magnetic monopole loop for the Yang-Mills instanton, Phys. Rev. D 55 (1997) 6313 [hep-th/9610101].
23. R.C. Brower, K.N. Orginos and C.I. Tan, Instantons in the maximally abelian gauge, Nucl. Phys. 53 (Proc. Suppl.) (1997) 488 [hep-lat/9608012].
24. G.V. Dunne and B. Tekin, Colorons in Weyl gauge, Phys. Rev. D 63 (2001) 085004 [hep-th/0011169].
25. G. 't Hooft, Computation of the quantum effects due to a four-dimensional pseudoparticle, Phys. Rev. D 14 (1976) 3432, erratum ibid. D 18 (1976) 2199.
26. P. Claus and R. Kallosh, Superisometries of the AdS × S superspace, J. High Energy Phys. 03 (1999) 014 [hep-th/9812087];
27. P. Claus, J. Rahmfeld, H. Robins, J. Tannenhauser and Y. Zunger, Isometries in anti-de Sitter and conformal superspaces, J. High Energy Phys. 07 (2000) 047 [hep-th/0007099].
28. M.B. Green and J.H. Schwarz, Supersymmetrical dual string theory, 2. Vertices and trees, Nucl. Phys. B 198 (1982) 252.
29. M.B. Green and M. Gutperle, Effects of D-instantons, Nucl. Phys. B 498 (1997) 195 [hep-th/9701093].
30. M. Bianchi, D.Z. Freedman and K. Skenderis, How to go with an RG flow, J. High Energy Phys. 08 (2001) 041 [hep-th/0105276];
31. Holographic renormalization, hep-th/0112119.
32. N. Dorey, T.J. Hollowood, V.V. Khoze, M.P. Mattis and S. Vandoren, Multi-instanton calculus and the AdS/CFT correspondence in N = 4 superconformal field theory, Nucl. Phys. B 552 (1999) 88 [hep-th/9901128].
33. E. Witten, Baryons and branes in anti de Sitter space, J. High Energy Phys. 07 (1998) 006 [hep-th/9805112].
34. D. Berenstein, R. Corrado, W. Fischler and J.M. Maldacena, The operator product expansion for Wilson loops and surfaces in the large-N limit, Phys. Rev. D 59 (1999) 105023 [hep-th/9809188].
35. G.W. Semenoff and K. Zarembo, More exact predictions of SUSYM for string theory, Nucl. Phys. B 616 (2001) 34 [hep-th/0106015].
36. J.H. Brodie and M. Gutperle, String corrections to four point functions in the AdS/CFT correspondence, Phys. Lett. B 445 (1999) 296 [hep-th/9809067].
37. M. Bianchi, S. Kovacs, G. Rossi and Y.S. Stanev, Properties of the Konishi multiplet in N = 4 SYM theory, J. High Energy Phys. 05 (2001) 042 [hep-th/0104016].
38. 4, Nucl. Phys. B 620 (2002) 380 [hep-th/0103230];
39. G. Arutyunov, B. Eden and E. Sokatchev, On non-renormalization and OPE in superconformal field theories, Nucl. Phys. B 619 (2001) 359 [hep-th/0105254];
40. 4, Nucl. Phys. B 618 (2001) 259 [hep-th/0106249].
41. 4 at strong coupling, Nucl. Phys. B 586 (2000) 547 [hep-th/0005182], erratum ibid. B609 (2000) 539;
42. 4, Nucl. Phys. B 602 (2001) 238 [hep-th/0010137], erratum ibid. B 609 (2001) 540.