Fermion BMN operators, the dilatation operator of N = 4 SYM, and pp-wave string interactions

Journal of High Energy Physics

Volumn 8, Issue 4, 2004, Pages 1-34

  Georgiou, George ^a   Travaglini, Gabriele ^b  

^a DURHAM UNIVERSITY   (United Kingdom)

^b QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

Duality in Gauge Field Theories; Penrose limit and pp wave background; Supersymmetry and Duality

Indexed keywords

EID: 16844379947     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (60)

1. D. Berenstein, J.M. Maldacena and H. Nastase, Strings in flat space and PP waves from N = 4 super Yang-Mills, J. High Energy Phys. 04 (2002) 013 [hep-th/0202021].
2. R.R. Metsaev, Type-IIB Green-Schwarz superstring in plane wave Ramond-Ramond background, Nucl. Phys. B 625 (2002) 70 [hep-th/0112044].
3. A. Santambrogio and D. Zanon, Exact anomalous dimensions of N = 4 Yang-Mills operators with large R charge, Phys. Lett. B 545 (2002) 425 [hep-th/0206079].
4. H. Verlinde, Bits, matrices and 1/N, J. High Energy Phys. 12 (2003) 052 [hep-th/0206059].
5. D.J. Gross, A. Mikhailov and R. Roiban, A calculation of the plane wave string hamiltonian from N = 4 super-Yang-Mills theory, J. High Energy Phys. 05 (2003) 025 [hep-th/0208231].
6. 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, Nucl. Phys. B 643 (2002) 3 [hep-th/0205033].
7. N.R. Constable et al., PP-wave string interactions from perturbative Yang-Mills theory, J. High Energy Phys. 07 (2002) 017 [hep-th/0205089].
8. J. Gomis, S. Moriyama and J.-w. Park, SYM description of sft hamiltonian in a PP-wave background, Nucl. Phys. B 659 (2003) 179 [hep-th/0210153].
9. J. Gomis, S. Moriyama and J.-w. Park, SYM description of PP-wave string interactions: singlet sector and arbitrary impurities, Nucl. Phys. B 665 (2003) 49 [hep-th/0301250].
10. G. Georgiou, V.V. Khoze and G. Travaglini, New tests of the PP-wave correspondence, J. High Energy Phys. 10 (2003) 049 [hep-th/0306234].
11. M. Spradlin and A. Volovich, Superstring interactions in a PP-wave background, Phys. Rev. D 66 (2002) 086004 [hep-th/0204146].
12. M. Spradlin and A. Volovich, Superstring interactions in a PP-wave background, II, J. High Energy Phys. 01 (2003) 036 [hep-th/0206073].
13. A. Pankiewicz, More comments on superstring interactions in the PP-wave background, J. High Energy Phys. 09 (2002) 056 [hep-th/0208209].
14. A. Pankiewicz and J. Stefanski, B., PP-wave light-cone superstring field theory, Nucl. Phys. B 657 (2003) 79 [hep-th/0210246].
15. Y.-J. Kiem, Y.-B. Kim, S.-M. Lee and J.-M. Park, PP-wave/Yang-Mills correspondence: an explicit check, Nucl. Phys. B 642 (2002) 389 [hep-th/0205279].
16. P. Lee, S. Moriyama and J.-W. Park, Cubic interactions in PP-wave light cone string field theory, Phys. Rev. D 66 (2002) 085021 [hep-th/0206065].
17. C.-S. Chu, V.V. Khoze, M. Petrini, R. Russo and A. Tanzini, A note on string interaction on the PP-wave background, hep-th/0208148.
18. Y.-J. Kiem, Y.-B. Kim, J. Park and C. Ryou, Chiral primary cubic interactions from PP-wave supergravity, J. High Energy Phys. 01 (2003) 026 [hep-th/0211217].
19. 2/N, J. High Energy Phys. 05 (2003) 022 [hep-th/0210102].
20. 2 symmetry and PP-waves, J. High Energy Phys. 06 (2003) 050 [hep-th/0303107].
21. B. Eden, On two fermion bmn operators, Nucl. Phys. B 681 (2004) 195 [hep-th/0307081].
22. M. Bianchi, G. Rosa and Y.S. Stanev, Surprises from the resolution of operator mixing in N = 4 SYM, hep-th/0312228.
23. A. Pankiewicz, An alternative formulation of light-cone string field theory on the plane wave, J. High Energy Phys. 06 (2003) 047 [hep-th/0304232].
24. A. Pankiewicz and J. Stefanski, B., On the uniqueness of plane-wave string field theory, hep-th/0308062.
25. J. Gomis, S. Moriyama and J.-W. Park, Open + closed string field theory from gauge fields, Nucl. Phys. B 678 (2004) 101 [hep-th/0305264].
26. 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, hep-th/0304025.
27. R. Slansky, Group theory for unified model building, Phys. Rept. 79 (1981) 1.
28. A. Parnachev and A.V. Ryzhov, Strings in the near plane wave background and AdS/CFT, J. High Energy Phys. 10 (2002) 066 [hep-th/0208010].
29. U. Gursoy, Vector operators in the BMN correspondence, J. High Energy Phys. 07 (2003) 048 [hep-th/0208041].
30. N. Beisert, BMN operators and superconformal symmetry, Nucl. Phys. B 659 (2003) 79 [hep-th/0211032].
31. N. Beisert, C. Kristjansen, J. Plefka, G.W. Semenoff and M. Staudacher, Bmn correlators and operator mixing in N = 4 super Yang-Mills theory, Nucl. Phys. B 650 (2003) 125 [hep-th/0208178].
32. C.-S. Chu, V.V. Khoze and G. Travaglini, Three-point functions in N = 4 Yang-Mills theory and PP-waves, J. High Energy Phys. 06 (2002) 011 [hep-th/0206005].
33. C.-S. Chu, V.V. Khoze and G. Travaglini, PP-wave string interactions from n-point correlators of BMN operators, J. High Energy Phys. 09 (2002) 054 [hep-th/0206167].
34. N.R. Constable, D.Z. Freedman, M. Headrick and S. Minwalla, Operator mixing and the BMN correspondence, J. High Energy Phys. 10 (2002) 068 [hep-th/0209002].
35. D. Sadri and M.M. Sheikh-Jabbari, The plane-wave/super Yang-Mills duality, hep-th/0310119.
36. E.S. Fradkin and M.Y. Palchik, Conformal quantum field theory in D-dimensions, Kluver, Dordrecht 1996.
37. R.A. Janik, BMN operators and string field theory, Phys. Lett. B 549 (2002) 237 [hep-th/0209263].
38. J.A. Minahan and K. Zarembo, The Bethe-ansatz for N = 4 super Yang-Mills, J. High Energy Phys. 03 (2003) 013 [hep-th/0212208].
39. N. Beisert, C. Kristjansen, J. Plefka and M. Staudacher, BMN gauge theory as a quantum mechanical system, Phys. Lett. B 558 (2003) 229 [hep-th/0212269].
40. M. Spradlin and A. Volovich, Note on plane wave quantum mechanics, Phys. Lett. B 565 (2003) 253 [hep-th/0303220].
41. N. Beisert, C. Kristjansen and M. Staudacher, The dilatation operator of N = 4 super Yang-Mills theory, Nucl. Phys. B 664 (2003) 131 [hep-th/0303060].
42. N. Beisert, The complete one-loop dilatation operator of N = 4 super Yang-Mills theory, Nucl. Phys. B 676 (2004) 3 [hep-th/0307015].
43. N. Beisert and M. Staudacher, The N = 4 SYM integrable super spin chain, Nucl. Phys. B 670 (2003) 439 [hep-th/0307042].
44. N. Beisert, The SU(2|3) dynamic spin chain, hep-th/0310252.
45. 5 from N = 4 SYM, Phys. Lett. B 586 (2004) 106 [hep-th/0402033].
46. G. Arutyunov and M. Staudacher, Two-loop commuting charges and the string/gauge duality, hep-th/0403077.
47. S. Mandelstam, Interacting string picture of the Neveu-Schwarz-Ramond model, Nucl. Phys. B 69 (1974) 77.
48. M.B. Green and J.H. Schwarz, Superstring interactions, Nucl. Phys. B 218 (1983) 43.
49. M.B. Green, J.H. Schwarz and L. Brink, Superfield theory of type-II superstrings, Nucl. Phys. B 219 (1983) 437.
50. M.B. Green and J.H. Schwarz, Superstring field theory, Nucl. Phys. B 243 (1984) 475.
51. U. Gursoy, Predictions for PP-wave string amplitudes from perturbative SYM, J. High Energy Phys. 10 (2003) 027 [hep-th/0212118].
52. T. Klose, Conformal dimensions of two-derivative BMN operators, J. High Energy Phys. 03 (2003) 012 [hep-th/0301150].
53. G. Georgiou and V.V. Khoze, Bmn operators with three scalar impurites and the vertex-correlator duality in PP-wave, J. High Energy Phys. 04 (2003) 015 [hep-th/0302064].
54. M. Bianchi, B. Eden, G. Rossi and Y.S. Stanev, On operator mixing in N = 4 SYM, Nucl. Phys. B 646 (2002) 69 [hep-th/0205321].
55. R.R. Metsaev and A.A. Tseytlin, Exactly solvable model of superstring in plane wave Ramond-Ramond background, Phys. Rev. D 65 (2002) 126004 [hep-th/0202109].
56. G. 't Hooft, Computation of the quantum effects due to a four-dimensional pseudoparticle, Phys. Rev. D 14 (1976) 3432.
57. Y.-H. He, J.H. Schwarz, M. Spradlin and A. Volovich, Explicit formulas for Neumann coefficients in the plane-wave geometry, Phys. Rev. D 67 (2003) 086005 [hep-th/0211198].
58. C.-S. Chu, M. Petrini, R. Russo and A. Tanzini, String interactions and discrete symmetries of the PP-wave background, Class. and Quant. Grav. 20 (2003) S457 [hep-th/0211188].
59. J. Lucietti, S. Schafer-Nameki and A. Sinha, On the plane-wave cubic vertex, hep-th/0402185.
60. C.-S. Chu and V.V. Khoze, Correspondence between the 3-point BMN correlators and the 3-string vertex on the PP-wave, J. High Energy Phys. 04 (2003) 014 [hep-th/0301036].