Non-perturbative effects in the BMN limit of N=4 supersymmetric Yang-Mills

Journal of High Energy Physics

Volumn , Issue 12, 2005, Pages 921-972

  Green, Michael B ^a   Sinha, Aninda ^a   Kovacs, Stefano ^b  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b ALBERT EINSTEIN INSTITUT   (Germany)

Author keywords

AdS CFT Correspondence; Nonperturbative Effects; Solitons Monopoles and Instantons

Indexed keywords

EID: 33645509663     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2005/12/038     Document Type: Article

References (68)

1. D. Berenstein, J.M. Maldacena and H. Nastase, Strings in flat space and pp waves from N ≤ 4 super Yang-Mills 2002 J. High Energy Phys. JHEP04(2002)013 [hep-th/0202021]
2. M. Blau, J. Figueroa-O'Farrill, C. Hull and G. Papadopoulos, A new maximally supersymmetric background of IIB superstring theory 2002 J. High Energy Phys. JHEP01(2002)047 [hep-th/0110242]
3. M. Blau, J. Figueroa-O'Farrill, C. Hull and G. Papadopoulos, Penrose limits and maximal supersymmetry 2002 Class. Quantum Grav. 19 L87 [hep-th/0201081]
4. R.R. Metsaev, Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background 2002 Nucl. Phys. B 625 70 [hep-th/0112044]
5. R.R. Metsaev and A.A. Tseytlin, Exactly solvable model of superstring in plane wave Ramond-Ramond background 2002 Phys. Rev. D 65 126004 [hep-th/0202109]
6. M. Spradlin and A. Volovich, Superstring interactions in a pp-wave background 2002 Phys. Rev. D 66 086004 [hep-th/0204146]
7. M. Spradlin and A. Volovich, Superstring interactions in a pp-wave background. II 2003 J. High Energy Phys. JHEP01(2003)036 [hep-th/0206073]
8. A. Pankiewicz and J. Stefanski, B., pp-wave light-cone superstring field theory 2003 Nucl. Phys. B 657 79 [hep-th/0210246]
9. A. Pankiewicz, More comments on superstring interactions in the pp-wave background 2002 J. High Energy Phys. JHEP09(2002)056 [hep-th/0208209]
10. J.H. Schwarz, The three-string vertex for a plane-wave background [hep-th/0312283]
11. J. Lucietti, S. Schafer-Nameki and A. Sinha, On the plane-wave cubic vertex 2004 Phys. Rev. D 70 026005 [hep-th/0402185]
12. J. Lucietti, S. Schafer-Nameki and A. Sinha, On the exact open-closed vertex in plane-wave light-cone string field theory 2004 Phys. Rev. D 69 086005 [hep-th/0311231]
13. R. Roiban, M. Spradlin and A. Volovich, On light-cone SFT contact terms in a plane wave 2003 J. High Energy Phys. JHEP10(2003)055 [hep-th/0211220]
14. G. Georgiou and G. Travaglini, Fermion BMN operators, the dilatation operator of N ≤ 4 SYM and pp-wave string interactions 2004 J. High Energy Phys. JHEP04(2004)001 [hep-th/0403188]
15. G. Georgiou, V.V. Khoze and G. Travaglini, New tests of the pp-wave correspondence 2003 J. High Energy Phys. JHEP10(2003)049 [hep-th/0306234]
16. P. Matlock and K.S. Viswanathan, Four-impurity operators and string field theory vertex in the BMN correspondence 2005 Phys. Rev. D 71 026001 [hep-th/0406061]
17. P. Di Vecchia, J.L. Petersen, M. Petrini, R. Russo and A. Tanzini, The 3-string vertex and the AdS/CFT duality in the pp-wave limit 2004 Class. Quantum Grav. 21 2221 [hep-th/0304025]
18. N. Beisert, C. Kristjansen, J. Plefka and M. Staudacher, BMN gauge theory as a quantum mechanical system 2003 Phys. Lett. B 558 229 [hep-th/0212269]
19. 2/N 2003 J. High Energy Phys. JHEP05(2003)022 [hep-th/0210102]
20. C. Kristjansen, J. Plefka, G.W. Semenoff and M. Staudacher, A new double-scaling limit of N ≤ 4 super Yang-Mills theory and PP-wave strings 2002 Nucl. Phys. B 643 3 [hep-th/0205033]
21. N.R. Constable et al., PP-wave string interactions from perturbative Yang-Mills theory 2002 J. High Energy Phys. JHEP07(2002)017 [hep-th/0205089]
22. N. Beisert, C. Kristjansen, J. Plefka, G.W. Semenoff and M. Staudacher, BMN correlators and operator mixing in N ≤ 4 super Yang- Mills theory 2003 Nucl. Phys. B 650 125 [hep-th/0208178]
23. N.R. Constable, D.Z. Freedman, M. Headrick and S. Minwalla, Operator mixing and the BMN correspondence 2002 J. High Energy Phys. JHEP10(2002)068 [hep-th/0209002]
24. A. Santambrogio and D. Zanon, Exact anomalous dimensions of N ≤ 4 Yang-Mills operators with large R charge 2002 Phys. Lett. B 545 425 [hep-th/0206079]
25. J.C. Plefka, Lectures on the plane-wave string/gauge theory duality 2004 Fortschr. Phys. 52 264 [hep-th/0307101]
26. A. Pankiewicz, Strings in plane wave backgrounds 2003 Fortschr. Phys. 51 1139 [hep-th/0307027]
27. J.M. Maldacena, Lectures on AdS/CFT [hep-th/0309246]
28. M. Spradlin and A. Volovich, Light-cone string field theory in a plane wave [hep-th/0310033]
29. D. Sadri and M.M. Sheikh-Jabbari, The plane-wave/super Yang-Mills duality 2004 Rev. Mod. Phys. 76 853 [hep-th/0310119]
30. R. Russo and A. Tanzini, The duality between IIB string theory on pp-wave and N ≤ 4 SYM: a status report 2004 Class. Quant. Grav. 21 S1265-2196 [hep-th/0401155]
31. M.R. Gaberdiel and M.B. Green, The D-instanton and other supersymmetric D-branes in IIB plane-wave string theory 2003 Ann. Phys. (NY) 307 147 [hep-th/0211122]
32. M.B. Green, S. Kovacs and A. Sinha, Non-perturbative contributions to the plane-wave string mass matrix 2005 J. High Energy Phys. JHEP05(2005)055 [hep-th/0503077]
33. M. Bianchi, M.B. Green, S. Kovacs and G. Rossi, Instantons in supersymmetric Yang-Mills and D-instantons in IIB superstring theory 1998 J. High Energy Phys. JHEP08(1998)013 [hep-th/9807033]
34. 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 1999 Nucl. Phys. B 552 88 [hep-th/9901128]
35. 5 duals 2003 J. High Energy Phys. JHEP04(2003)058 [hep-th/0212332]
36. P. Gutjahr and A. Pankiewicz, New aspects of the BMN correspondence beyond the planar limit 2005 Nucl. Phys. B 704 583 [hep-th/0407098]
37. I.R. Klebanov, M. Spradlin and A. Volovich, New effects in gauge theory from pp-wave superstrings 2002 Phys. Lett. B 548 111 [hep-th/0206221]
38. 5: beyond the pp-wave 2003 Nucl. Phys. B 673 3 [hep-th/0307032]
39. C.G. Callan Jr., T. McLoughlin and I.J. Swanson, Holography beyond the Penrose limit 2004 Nucl. Phys. B 694 115 [hep-th/0404007]
40. D. Serban and M. Staudacher, Planar N ≤ 4 gauge theory and the Inozemtsev long range spin chain 2004 J. High Energy Phys. JHEP06(2004)001 [hep-th/0401057]
41. N. Beisert, V. Dippel and M. Staudacher, A novel long range spin chain and planar N ≤ 4 super Yang- Mills 2004 J. High Energy Phys. JHEP07(2004)075 [hep-th/0405001]
42. B. Eden, C. Jarczak and E. Sokatchev, A three-loop test of the dilatation operator in N ≤ 4 SYM 2005 Nucl. Phys. B 712 157 [hep-th/0409009]
43. T. Fischbacher, T. Klose and J. Plefka, Planar plane-wave matrix theory at the four loop order: integrability without BMN scaling 2005 J. High Energy Phys. JHEP02(2005)039 [hep-th/0412331]
44. M. Bianchi, B. Eden, G. Rossi and Y.S. Stanev, On operator mixing in N ≤ 4 SYM 2002 Nucl. Phys. B 646 69 [hep-th/0205321]
45. N. Dorey, T.J. Hollowood, V.V. Khoze and M.P. Mattis, The calculus of many instantons 2002 Phys. Rep. 371 231 [hep-th/0206063]
46. M.B. Green, S. Kovacs and A. Sinha, in preparation
47. P. Gutjahr and J. Plefka, Decay widths of three-impurity states in the BMN correspondence 2004 Nucl. Phys. B 692 110 [hep-th/0402211]
48. S. Kovacs, On instanton contributions to anomalous dimensions in N ≤ 4 supersymmetric Yang-Mills theory 2004 Nucl. Phys. B 684 3 [hep-th/0310193]
49. N. Beisert, BMN operators and superconformal symmetry 2003 Nucl. Phys. B 659 79 [hep-th/0211032]
50. M.F. Atiyah, N.J. Hitchin, V.G. Drinfeld and Yu.I. Manin, Construction of instantons 1978 Phys. Lett. A 65 185
51. N.H. Christ, E.J. Weinberg and N.K. Stanton, General self-dual Yang-Mills solutions 1978 Phys. Rev. D 18 2013
52. D. Amati, K. Konishi, Y. Meurice, G.C. Rossi and G. Veneziano, Nonperturbative aspects in supersymmetric gauge theories 1988 Phys. Rep. 162 169
53. A.V. Belitsky, S. Vandoren and P. van Nieuwenhuizen, Yang-Mills and D-instantons 2000 Class. Quantum Grav. 17 3521 [hep-th/0004186]
54. M. Bianchi and S. Kovacs, Non-renormalization of extremal correlators in N ≤ 4 SYM theory 1999 Phys. Lett. B 468 102 [hep-th/9910016]
55. M. Bianchi, S. Kovacs, G. Rossi and Y.S. Stanev, Properties of the Konishi multiplet in N ≤ 4 SYM theory 2001 J. High Energy Phys. JHEP05(2001)042 [hep-th/0104016]
56. M. Gutperle, Heterotic/type-I duality, D-instantons and a N ≤ 2 AdS/CFT correspondence 1999 Phys. Rev. D 60 126001 [hep-th/9905173]
57. T.J. Hollowood, V.V. Khoze and M.P. Mattis, Summing the instanton series in N ≤ 2 superconformal large-N QCD 1999 J. High Energy Phys. JHEP10(1999)019 [hep-th/9905209]
58. T.J. Hollowood and V.V. Khoze, ADHM and D-instantons in orbifold AdS/CFT duality 2000 Nucl. Phys. B 575 78 [hep-th/9908035]
59. E. Gava, K.S. Narain and M.H. Sarmadi, Instantons in N ≤ 2Sp(N) superconformal gauge theories and the AdS/CFT correspondence, 2000 Nucl. Phys. B 569 183 [hep-th/9908125]
60. T.J. Hollowood, Instantons, finite N ≤ 2Sp(N) theories and the AdS/CFT correspondence, 1999 J. High Energy Phys. JHEP11(1999)012 [hep-th/9908201]
61. T.J. Hollowood, V.V. Khoze and M.P. Mattis, Instantons in N ≤ 4Sp(N) and SO(N) theories and the AdS/CFT correspondence, 2000 Adv. Theor. Math. Phys. 4 545 [hep-th/9910118]
62. M.B. Green and C. Stahn, D3-branes on the Coulomb branch and instantons 2003 J. High Energy Phys. JHEP09(2003)052 [hep-th/0308061]
63. D. Berenstein, E. Gava, J.M. Maldacena, K.S. Narain and H. Nastase, Open strings on plane waves and their Yang-Mills duals [hep-th/0203249]
64. Z. Guralnik, S. Kovacs and B. Kulik, Holography and the Higgs branch of N ≤ 2 SYM theories 2005 J. High Energy Phys. JHEP03(2005)063 [hep-th/0405127]
65. J.A. Minahan and K. Zarembo, The Bethe-ansatz for N ≤ 4 super Yang-Mills 2003 J. High Energy Phys. JHEP03(2003)013 [hep-th/0212208]
66. N. Beisert, C. Kristjansen and M. Staudacher, The dilatation operator of N ≤ 4 super Yang-Mills theory 2003 Nucl. Phys. B 664 131 [hep-th/0303060]
67. N. Beisert and M. Staudacher, The N ≤ 4 SYM integrable super spin chain 2003 Nucl. Phys. B 670 439 [hep-th/0307042]
68. N. Beisert, The dilatation operator of N ≤ 4 super Yang-Mills theory and integrability 2005 Phys. Rep. 405 1 [hep-th/0407277]