Operator product expansion of the lowest weight CPOs in N=4 SYM4 at strong coupling

Nuclear Physics B

Volumn 586, Issue 1-2, 2000, Pages 547-588

  Arutyunov, Gleb ^a   Frolov, Sergey ^b   Petkou, Anastasios C ^c  

^a UNIVERSITY OF MUNICH   (Germany)

^b UNIVERSITY OF ALABAMA   (United States)

^c Univ K ^*  (Germany)

Author keywords

11.25.Hf; 11.25.Sq; AdS CFT correspondence; Conformal field theory; Non perturbative methods

Indexed keywords

EID: 0000001696     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(00)00439-9     Document Type: Article

References (51)

1. Maldacena J. The large N limit of superconformal field theories and supergravity. Adv. Theor. Math. Phys. Vol. 2:1998;231.
2. Gubser G.G., Klebanov I.R., Polyakov A.M. Gauge theory correlators from noncritical string theory. Phys. Lett. B. Vol. 428:1998;105 hep-th/9802109.
3. Witten E. Anti-de Sitter space and holography. Adv. Theor. Math. Phys. Vol. 2:1998;253 hep-th/9805028.
4. Arutyunov G., Frolov S. On the origin of the supergravity boundary terms in the AdS/CFT correspondence. Nucl. Phys. B. Vol. 544:1999;576 hep-th/9806216.
5. Schwarz J.H. Covariant field equations of chiral N=2 D=10 supergravity. Nucl. Phys. B. Vol. 226:1983;269.
6. Schwarz J.H., West P.C. Symmetries and transformations of chiral N=2 D=10 supergravity. Phys. Lett. B. Vol. 126:1983;301.
7. Howe P.S., West P.C. The complete N=2 D=10 supergravity. Nucl. Phys. B. Vol. 238:1984;181.
8. 5 . JHEP. Vol. 08:1999;024 hep-th/9811106.
9. Lee S., 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. Vol. 2:1998;697 hep-th/9806074.
10. 4 at large N . Phys. Rev. D. Vol. 61:2000;064009 hep-th/9907085.
11. Lee S. AdS(5)/CFT(4) four-point functions of chiral primary operators: Cubic vertices. Nucl. Phys. B. Vol. 563:1999;349 hep-th/9907108.
12. Freedman D., Mathur S., Matusis A., Rastelli L. Correlation functions in the CFT(d)/AdS(d+1) correspondence. Nucl. Phys. B. Vol. 546:1999;96 hep-th/9804058.
13. Liu H., Tseytlin A.A. On four-point functions in the CFT/AdS correspondence. Phys. Rev. D. Vol. 59:1999;086002 hep-th/9807097.
14. Freedman D., Mathur S.D., Matusis A., Rastelli L. Comments on 4-point functions in the CFT/AdS correspondence. Phys. Lett. B. Vol. 452:1999;61 hep-th/9808006.
15. c limit of four-point functions in N=4 super Yang-Mills theory from anti-de Sitter supergravity. hep-th/9810051.
16. d+1 . Nucl. Phys. B. Vol. 544:1999;612 hep-th/9809179.
17. Brodie J.H., Gutperle M. String corrections to 4-point functions in the AdS/CFT correspondence. Phys. Lett. B. Vol. 445:1999;296 hep-th/9809067.
18. Liu H. Scattering in anti-de Sitter space and operator product expansion. hep-th/9811152.
19. d+1 . Nucl. Phys. B. Vol. 550:1999;612 hep-th/9811257.
20. D'Hoker E., Freedman D., Mathur S., Matusis A., Rastelli L. Graviton exchange and complete 4-point functions in the AdS/CFT correspondence. hep-th/9903196.
21. D'Hoker E., Freedman D., Rastelli L. AdS/CFT 4-point functions: How to succeed at z -integrals without really trying. hep-th/9905049.
22. Sanjay. On direct and crossed channel asymptotics of four-point functions in AdS/CFT correspondence. Mod. Phys. Lett. A. Vol. 14:1999;1413 hep-th/9906099.
23. D'Hoker E., Mathur S.D., Matusis A., Rastelli L. The operator product expansion of N=4 SYM and the 4-point functions of supergravity. hep-th/9911222.
24. Hoffmann L., Petkou A.C., Rühl W. A note on the analyticity of AdS scalar exchange graphs in the crossed channel. hep-th/0002025. to appear in Phys. Lett. B.
25. Herzog C.P. OPEs and 4-point functions in AdS/CFT correspondence. hep-th/0002039.
26. Hoffmann L., Petkou A.C., Rühl W. Aspects of the conformal operator product expansion in AdS/CFT correspondence. hep-th/0002154.
27. 5 . hep-th/9912210. to appear in Nucl. Phys. B.
28. 4 in supergravity approximation. hep-th/0002170. to appear in Phys. Rev. D.
29. Symanzik K. Small-distance-behaviour analysis and Wilson expansions. Commun. Math. Phys. Vol. 23:1971;49.
30. Lang K., Rühl W. The critical O(N) σ -model at dimension 2
31. 2 : Operator product expansions and renormalization. Nucl. Phys. B. Vol. 377:1992;371.
32. Petkou A.C. Conserved currents, consistency relations and operator product expansions in the conformally invariant O(N) vector model. Ann. Phys. Vol. 249:1996;180 hep-th/9410093.
33. Andrianopoli L., Ferrara S. On short and long SU(2,2/4) in the AdS/CFT correspondence. hep-th/9812067.
34. 4 correspondence. hep-th/9908163.
35. Eden B., Howe P.S., Schubert C., Sokatchev E., West P.C. Simplifications of four-point functions in N=4 supersymmetric Yang-Mills theory at two loops. hep-th/9906051.
36. Bianchi M., Kovacs S., Rossi G., Stanev Y.S. On logarithmic behaviour in N=4 SYM theory. hep-th/9906188.
37. Eden B., Schubert C., Sokatchev E. Three-loop four-point correlator in N=4 SYM. hep-th/0003096.
38. 4 . hep-th/0003203.
39. Anselmi D. The N=4 quantum conformal algebra. Nucl. Phys. B. Vol. 541:1999;369 hep-th/9809195.
40. Anselmi D. Quantum conformal algebras and closed conformal field theory. Nucl. Phys. B. Vol. 554:1999;415 hep-th/9811149.
41. Osborn H., Petkou A. Implications of conformal invariance in field theories for general dimensions. Ann. Phys. (N.Y.). Vol. 231:1994;311 hep-th/9307010.
42. Manvelyan R., Petkou A.C. R -current anomalies in the (2,0) tensor multiplet in d=6 and AdS/CFT correspondence. hep-th/000310. to appear in Phys. Lett. B.
43. Erdmenger J., Osborn H. Conserved currents and the energy momentum tensor in conformally invariant theories for general dimensions. Nucl. Phys. B. Vol. 483:1997;431 hep-th/9605009.
44. Liu H., Tseytlin A.A. D=4 Super-Yang-Mills, D=5 gauge supergravity and D=4 conformal supergravity. Nucl. Phys. B. Vol. 553:1998;88 hep-th/9804083.
45. Skiba W. Correlators of short multi-trace operators in N=4 supersymmetric Yang-Mills. Phys. Rev. D. Vol. 60:1999;105038 hep-th/9907088.
46. Mack G. Group theoretical approach to conformal-invariant quantum field theory. Caianiello. Renormalization and Invariance in Quantum Field Theory. 1974;Plenum Press, New York.
47. Dobrev V.K., Petkova V.B., Petrova S.G., Todorov I.T. Dynamical derivation of vacuum operator product expansion in Euclidean conformal quantum field theory. Phys. Rev. D. Vol. 13:1976;887.
48. Fradkin E.S., Palchik M.Ya. New developments in d -dimensional conformal quantum field theory. Phys. Rep. Vol. 300:1998;1.
49. Ferrara S., Gatto R., Grillo A.F. Conformal invariance on the light-cone and canonical dimensions. Nucl. Phys. B. Vol. 34:1971;349.
50. Ferrara S., Gatto R., Grillo A.F. Tensor representations of conformal covariant operator product expansions. Ann. Phys. Vol. 76:1973;161.
51. Ferrara S., Gatto R., Grillo A.F., Parisi G. Covariant expression of the conformal four-point function. Nucl. Phys. B. Vol. 49:1972;77.