Exceptional non-renormalization properties and OPE analysis of chiral four-point functions in N = 4 SYM 4

Nuclear Physics B

Volumn 620, Issue 1-2, 2002, Pages 380-404

  Arutyunov, G ^a,d   Eden, B ^b,e   Petkou, A C ^c   Sokatchev, E ^b,e  

^a ALBERT EINSTEIN INSTITUT   (Germany)

^b LAPTH   (France)

^c UNIVERSITY OF MILAN   (Italy)

^d STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

^e UNIVERSITÉ DE SAVOIE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001058948     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(01)00569-7     Document Type: Article

References (49)

1. J. Maldacena, The large N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231, hep-th/9711200.
2. G.G. Gubser, I.R. Klebanov, A.M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett. B 428 (1998) 105, hep-th/9802109.
3. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253, hep-th/9802150.
4. V.K. Dobrev, V.B. Petkova, All positive energy unitary irreducible representations of extended conformal supersymmetry, Phys. Lett. B 162 (1985) 127.
5. P.S. Howe, P.C. West, Non-perturbative Green's functions in theories with extended superconformal symmetry, Int. J. Mod. Phys. A 14 (1999) 2659, hep-th/9509140;
6. P.S. Howe, P.C. West, Operator product expansions in four-dimensional superconformal field theories, Phys. Lett. B 389 (1996) 273, hep-th/9607060;
7. P.S. Howe, P.C. West, Is N = 4 Yang-Mills soluble?, Physics (1996), hep-th/9611074;
8. P.S. Howe, P.C. West, Superconformal invariants and extended supersymmetry, Phys. Lett. B 400 (1997) 307, hep-th/9611075.
9. L. Andrianopoli, S. Ferrara, On short and long SU(2, 2/4) multiplets in the AdS/CFT correspondence, Lett. Math. Phys. 48 (1999) 145, hep-th/9812067;
10. 4 correspondence, hep-th/9908163.
11. S. Lee, S. Minwalla, M. Rangamani, N. Seiberg, 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. E. D'Hoker, D.Z. Freedman, W. Skiba, Field theory tests for correlators in the AdS/CFT correspondence, Phys. Rev. D 59 (1999) 045008, hep-th/9807098.
13. P.S. Howe, E. Sokatchev, P.C. West, 3-point functions in N = 4 Yang-Mills, Phys. Lett. B 444 (1998) 341, hep-th/9808162.
14. B. Eden, P.S. Howe, P.C. West, Nilpotent invariants in N = 4 SYM, Phys. Lett. B 463 (1999) 19, hep-th/9905085.
15. S. Penati, A. Santambrogio, D. Zanon, Correlation functions of chiral primary operators in perturbative N = 4 SYM, hep-th/0003026.
16. B. Eden, P.S. Howe, C. Schubert, E. Sokatchev, P.C. West, Four-point functions in N = 4 supersymmetric Yang-Mills theory at two loops, Nucl. Phys. B 557 (1999) 355, hep-th/9811172.
17. B. Eden, P.S. Howe, C. Schubert, E. Sokatchev, P.C. West, Simplifications of four-point functions in N = 4 supersymmetric Yang-Mills theory at two loops, Phys. Lett. B 466 (1999) 20, hep-th/9906051.
18. B. Eden, C. Schubert, E. Sokatchev, Three-loop four-point correlator in N = 4 SYM, Phys. Lett. B 482 (2000) 309, hep-th/0003096.
19. M. Bianchi, S. Kovacs, G. Rossi, Y.S. Stanev, On the logarithmic behaviour in N = 4 SYM theory, JHEP 9908 (1999) 020, hep-th/9906188.
20. 4, Nucl. Phys. B 584 (2000) 216, hep-th/0003203.
21. N. Maggiore, A. Tanzini, Protected operators in N = 2,4 supersymmetric theories, Nucl. Phys. B 613 (2001) 34, hep-th/0105005;
22. S. Penati, A. Santambrogio, Superspace approach to anomalous dimensions in N = 4 SYM, hep-th/0107071.
23. H. Liu, A.A. Tseytlin, On four-point functions in the CFT/AdS correspondence, Phys. Rev. D 59 (1999) 086002, hep-th/9807097.
24. d+1, Nucl. Phys. 544 (1999) 612, hep-th/9809179;
25. d+1, Nucl. Phys. B 550 (1999) 261, hep-th/9811257.
26. E. D'Hoker, D.Z. Freedman, S.D. Mathur, A. Matusis, L. Rastelli, Graviton exchange and complete 4-point functions in the AdS/CFT correspondence, Nucl. Phys. B 562 (1999) 353, hep-th/9903196.
27. E. D'Hoker, S.D. Mathur, A. Matusis, L. Rastelli, The operator product expansion of N = 4 SYM and the 4-point functions of supergravity, Nucl. Phys. B 589 (2000) 38, hep-th/9911222.
28. C.P. Herzog, OPEs and 4-point functions in AdS/CFT correspondence, JHEP 0102 (2001) 038, hep-th/0002039.
29. 5, Nucl. Phys. B 579 (2000) 117, hep-th/9912210.
30. 4 in supergravity approximation, Phys. Rev. D 62 (2000) 064016, hep-th/0002170.
31. 4 at strong coupling, Nucl. Phys. B 586 (2000) 547, hep-th/0005182.
32. 4, Nucl. Phys. B 602 (2001) 283, hep-th/0010137.
33. A. Galperin, E. Ivanov, S. Kalitzin, V. Ogievetsky, E. Sokatchev, Unconstrained N = 2 matter, Yang-Mills and supergravity theories in harmonic superspace, Class. Quantum Grav. 1 (1984) 469.
34. B. Eden, A. Petkou, C. Schubert, E. Sokatchev, Partial non-renormalisation of the stress-tensor four-point function in N = 4 SYM and AdS/CFT, hep-th/0009106.
35. K. Intriligator, Bonus symmetries of N = 4 super-Yang-Mills correlation functions via AdS duality, Nucl. Phys. B 551 (1999) 575, hep-th/9811047.
36. S. Ferrara, R. Gatto, A.F. Grillo, Conformal invariance on the light-cone and canonical dimensions, Nucl. Phys. B 34 (1971) 349;
37. S. Ferrara, R. Gatto, A.F. Grillo, G. Parisi, Covariant expansion of the conformal four-point function, Nucl. Phys. B 49 (1972) 77;
38. S. Ferrara, R. Gatto, A.F. Grillo, Tensor representations of conformal covariant operator product expansions, Ann. Phys. 76 (1973) 161.
39. G. Mack, Group theoretical approach to conformal invariant quantum field theory, in: Caianiello (Ed.), Renormalization and Invariance in Quantum Field Theory, Plenum, New York, 1974.
40. V.K. Dobrev, V.B. Petkova, S.G. Petrova, I.T. Todorov, Dynamical derivation of vacuum operator-product expansion in Euclidean conformal quantum field theory, Phys. Rev. D 13 (1976) 887.
41. I.T. Todorov, M.C. Mintchev, V.B. Petkova, Conformal invariance in quantum field theory, Sc. Norm. Sup. (1978).
42. E.S. Fradkin, M.Ya. Palchik, Recent developments in conformal invariant quantum field theory, Phys. Rep. 44 (1978) 249;
43. E.S. Fradkin, M.Ya. Palchik, New developments in d-dimensional conformal quantum field theory, Phys. Rep. 300 (1998) 1.
44. H. Liu, Scattering in anti-de Sitter space and operator product expansion, Phys. Rev. D 60 (1999) 106005, hep-th/9811152.
45. L. Hoffmann, A.C. Petkou, W. Ruehl, Aspects of the conformal operator product expansion in AdS/CFT correspondence, hep-th/0002154.
46. F. Dolan, H. Osborn, Implications of N = 1 superconformal symmetry for chiral fields, Nucl. Phys. B 593 (2001) 599, hep-th/0006098.
47. F. Dolan, H. Osborn, Conformal four point functions and the operator product expansion, hep-th/0011040.
48. N.I. Ussyukina, A.I. Davydychev, An approach to the evaluation of three- and four-point ladder diagrams, Phys. Lett. B 298 (1993) 363.
49. D.J. Broadhurst, Summation of an infinite series of ladder diagrams, Phys. Lett. B 307 (1993) 132.