The dilatation operator of conformal N=4 super-Yang-Mills theory

Nuclear Physics B

Volumn 664, Issue 1-2, 2003, Pages 131-184

  Beisert, N ^a   Kristjansen, C ^a   Staudacher, M ^a  

^a ALBERT EINSTEIN INSTITUT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038441814     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(03)00406-1     Document Type: Article

References (68)

1. Gliozzi F. Scherk J. Olive D.I. Supersymmetry, supergravity theories and the dual spinor model Nucl. Phys. B 122 1977 253
2. Brink L. Schwarz J.H. Scherk J. Supersymmetric Yang-Mills theories Nucl. Phys. B 121 1977 77
3. Sohnius M.F. West P.C. Conformal invariance in N = 4 supersymmetric Yang-Mills theory Phys. Lett. B 100 1981 245
4. Howe P.S. Stelle K.S. Townsend P.K. Miraculous ultraviolet cancellations in supersymmetry made manifest Nucl. Phys. B 236 1984 125
5. Brink L. Lindgren O. Nilsson B.E.W. N = 4 Yang-Mills theory on the light cone Nucl. Phys. B 212 1983 401
6. Aharony O. Gubser S.S. Maldacena J.M. Ooguri H. Oz Y. Large N field theories, string theory and gravity Phys. Rep. 323 2000 183 hep-th/9905111
7. D'Hoker E. Freedman D.Z. Supersymmetric gauge theories and the AdS/CFT correspondence hep-th/0201253
8. Dobrev V.K. Petkova V.B. All positive energy unitary irreducible representations of extended conformal supersymmetry Phys. Lett. B 162 1985 127
9. Andrianopoli L. Ferrara S. Short and long SU(2,2/4) multiplets in the AdS/CFT correspondence Lett. Math. Phys. 48 1999 145 hep-th/9812067
10. Andrianopoli L. Ferrara S. Sokatchev E. Zupnik B. Shortening of primary operators in N-extended SCFT(4) and harmonic-superspace analyticity Adv. Theor. Math. Phys. 3 1999 1149 hep-th/9912007
11. Lee S.-M. Minwalla S. Rangamani M. Seiberg N. Three-point functions of chiral operators in D=4, N = 4 SYM at large N Adv. Theor. Math. Phys. 2 1998 697 hep-th/9806074
12. Arutyunov G. Frolov S. Petkou A.C. Operator product expansion of the lowest weight CPOs in N = 4 SYM(4) at strong coupling Nucl. Phys. B 586 2000 547 hep-th/0005182
13. Blau M. Figueroa-O'Farrill J. Hull C. Papadopoulos G. A new maximally supersymmetric background of IIB superstring theory JHEP 0201 2002 047 hep-th/0110242
14. Blau M. Figueroa-O'Farrill J. Hull C. Papadopoulos G. Penrose limits and maximal supersymmetry Class. Quantum Grav. 19 2002 L87, hep-th/0201081
15. Metsaev R.R. Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background Nucl. Phys. B 625 2002 70 hep-th/0112044
16. Metsaev R.R. Tseytlin A.A. Exactly solvable model of superstring in plane wave Ramond-Ramond background Phys. Rev. D 65 2002 126004 hep-th/0202109
17. Berenstein D. Maldacena J.M. Nastase H. Strings in flat space and pp waves from N = 4 super-Yang-Mills JHEP 0204 2002 013 hep-th/0202021
18. Gross D.J. Mikhailov A. Roiban R. Operators with large R charge in N = 4 Yang-Mills theory Ann. Phys. 301 2002 31 hep-th/0205066
19. Parnachev A. Ryzhov A.V. Strings in the near plane wave background and AdS/CFT JHEP 0210 2002 066 hep-th/0208010
20. Beisert N. BMN operators and superconformal symmetry hep-th/0211032 Nucl. Phys. B, in press
21. Klose T. Conformal dimensions of two-derivative BMN operators JHEP 0303 2003 012 hep-th/0301150
22. Kristjansen C. Plefka J. Semenoff G.W. Staudacher M. A new double-scaling limit of N = 4 super-Yang-Mills theory and PP-wave strings Nucl. Phys. B 643 2002 3 hep-th/0205033
23. Constable N.R. Freedman D.Z. Headrick M. Minwalla S. Motl L. Postnikov A. Skiba W. PP-wave string interactions from perturbative Yang-Mills theory JHEP 0207 2002 017 hep-th/0205089
24. Gürsoy U. Vector operators in the BMN correspondence hep-th/0208041
25. Beisert N. Kristjansen C. Plefka J. Semenoff G.W. Staudacher M. BMN correlators and operator mixing in N = 4 super-Yang-Mills theory Nucl. Phys. B 650 2003 125 hep-th/0208178
26. Constable N.R. Freedman D.Z. Headrick M. Minwalla S. Operator mixing and the BMN correspondence JHEP 0210 2002 068 hep-th/0209002
27. Eynard B. Kristjansen C. BMN correlators by loop equations JHEP 0210 2002 027 hep-th/0209244
28. Gürsoy U. Predictions for pp-wave string amplitudes from perturbative SYM hep-th/0212118
29. D'Hoker E. Freedman D.Z. Skiba W. Field theory tests for correlators in the AdS/CFT correspondence Phys. Rev. D 59 1999 045008 hep-th/9807098
30. 4 JHEP 9912 1999 006 hep-th/9910197
31. 4 Nucl. Phys. B 593 2001 651 hep-th/0005223
32. Penati S. Santambrogio A. Superspace approach to anomalous dimensions in N = 4 SYM Nucl. Phys. B 614 2001 367 hep-th/0107071
33. Ryzhov A.V. Quarter BPS operators in N = 4 SYM JHEP 0111 2001 046 hep-th/0109064
34. Beisert N. Kristjansen C. Plefka J. Staudacher M. BMN gauge theory as a quantum mechanical system Phys. Lett. B 558 2003 229 hep-th/0212269
35. Gross D.J. Mikhailov A. Roiban R. A calculation of the plane wave string Hamiltonian from N = 4 super-Yang-Mills theory hep-th/0208231
36. Janik R.A. BMN operators and string field theory Phys. Lett. B 549 2002 237 hep-th/0209263
37. Minahan J.A. Zarembo K. The Bethe-ansatz for N = 4 super-Yang-Mills JHEP 0303 2003 013 hep-th/0212208
38. 4 Nucl. Phys. B 584 2000 216 hep-th/0003203
39. Arutyunov G. Eden B. Petkou A.C. Sokatchev E. Exceptional non-renormalization properties and OPE analysis of chiral four-point functions in N = 4 SYM(4) Nucl. Phys. B 620 2002 380 hep-th/0103230
40. 4 Nucl. Phys. B 491 1997 221 hep-th/9601023
41. Arutyunov G. Penati S. Petkou A.C. Santambrogio A. Sokatchev E. Non-protected operators in N = 4 SYM and multiparticle states of AdS(5) SUGRA Nucl. Phys. B 643 2002 49 hep-th/0206020
42. Berenstein D. Nastase H. On lightcone string field theory from super-Yang-Mills and holography hep-th/0205048
43. Santambrogio A. Zanon D. Exact anomalous dimensions of N = 4 Yang-Mills operators with large R charge Phys. Lett. B 545 2002 425 hep-th/0206079
44. D'Hoker E. Heslop P. Howe P. Ryzhov A.V. Systematics of quarter BPS operators in N = 4 SYM hep-th/0301104
45. Bianchi M. Kovacs S. Rossi G. Stanev Y.S. On the logarithmic behavior in N = 4 SYM theory JHEP 9908 1999 020 hep-th/9906188
46. Bianchi M. Kovacs S. Rossi G. Stanev Y.S. Properties of the Konishi multiplet in N = 4 SYM theory JHEP 0105 2001 042 hep-th/0104016
47. Bianchi M. Eden B. Rossi G. Stanev Y.S. On operator mixing in N = 4 SYM Nucl. Phys. B 646 2002 69 hep-th/0205321
48. Gomis J. Moriyama S. Park J. SYM description of SFT Hamiltonian in a pp-wave background hep-th/0210153
49. Gomis J. Moriyama S. Park J. SYM description of pp-wave string interactions: singlet sector and arbitrary impurities hep-th/0301250
50. Spradlin M. Volovich A. Superstring interactions in a pp-wave background Phys. Rev. D 66 2002 086004 hep-th/0204146
51. Klebanov I.R. Spradlin M. Volovich A. New effects in gauge theory from pp-wave superstrings Phys. Lett. B 548 2002 111 hep-th/0206221
52. Spradlin M. Volovich A. Superstring interactions in a pp-wave background. II JHEP 0301 2003 036 hep-th/0206073
53. Pankiewicz A. More comments on superstring interactions in the pp-wave background JHEP 0209 2002 056 hep-th/0208209
54. Pankiewicz A. Stefański B.Jr. PP-wave light-cone superstring field theory hep-th/0210246 Nucl. Phys. B, in press
55. He Y.-H. Schwarz J.H. Spradlin M. Volovich A. Explicit formulas for Neumann coefficients in the plane-wave geometry hep-th/0211198
56. Roiban R. Spradlin M. Volovich A. On light-cone SFT contact terms in a plane wave hep-th/0211220
57. Verlinde H. Bits, matrices and 1/N hep-th/0206059
58. Vaman D. Verlinde H. Bit strings from N = 4 gauge theory hep-th/0209215
59. 2/N hep-th/0210102
60. Arutyunov G. Sokatchev E. On a large N degeneracy in N = 4 SYM and the AdS/CFT correspondence hep-th/0301058
61. Reshetikhin N.Y. A method of functional equations in the theory of exactly solvable quantum system Lett. Math. Phys. 7 1983 205
62. Reshetikhin N.Y. Integrable models of quantum one-dimensional magnets with O(N) and Sp(2K) symmetry Theor. Math. Phys. 63 1985 555
63. Chu C.-S. Khoze V.V. Travaglini G. Three-point functions in N = 4 Yang-Mills theory and pp-waves JHEP 0206 2002 011 hep-th/0206005
64. Georgiou G. Khoze V.V. BMN operators with three scalar impurites and the vertex-correlator duality in pp-wave hep-th/0302064
65. Chu C.-S. Khoze V.V. Correspondence between the 3-point BMN correlators, the 3-string vertex on the pp-wave hep-th/0301036
66. Gubser S.S. Klebanov I.R. Polyakov A.M. A semi-classical limit of the gauge/string correspondence Nucl. Phys. B 636 2002 99 hep-th/0204051
67. Kotikov A.V. Lipatov L.N. Velizhanin V.N. Anomalous dimensions of Wilson operators in N = 4 SYM theory Phys. Lett. B 557 2003 114 hep-ph/0301021
68. Kazakov D.I. Calculation of Feynman integrals by the method of 'uniqueness' Theor. Math. Phys. 58 1984 223