On operator mixing in N = 4 SYM

Nuclear Physics B

Volumn 646, Issue 3, 2002, Pages 69-101

  Bianchi, Massimo ^a   Eden, Burkhard ^a   Rossi, Giancarlo ^a   Stanev, Yassen S ^a,b  

^a UNIVERSITY OF ROME TOR VERGATA   (Italy)

^b INSTITUTE FOR NUCLEAR RESEARCH AND NUCLEAR ENERGY   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037121527     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0550-3213(02)00817-9     Document Type: Review

References (119)

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 non-critical 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. O. Aharony, S.S. Gubser, J. Maldacena, H. Ooguri, Y. Oz, Large N field theories, string theory and gravity, Phys. Rep. 323 (2000) 183, hep-th/9905111.
5. D.Z. Freedman, P. Henry-Labordere, Field theory insight from the AdS/CFT correspondence, hepth/0011086.
6. E. D'Hoker, D.Z. Freedman, Supersymmetric gauge theories and the AdS/CFT correspondence, hepth/0201253.
7. M. Bianchi, (Non-)perturbative tests of the AdS/CFT correspondence, Nucl. Phys. B (Proc. Suppl.) 102 (2001) 56, hep-th/0103112.
8. W. Skiba, Correlators of short multi-trace operators in N = 4 supersymmetric Yang-Mills, Phys. Rev. D 60 (1999) 105038, hep-th/9907088;
9. S. Penati, A. Santambrogio, D. Zanon, Correlation functions of chiral primary operators in perturbative N = 4 SYM, hep-th/0003026;
10. S. Penati, A. Santambrogio, D. Zanon, More on correlators and contact terms in N = 4 SYM, Nucl. Phys. B 593 (2001) 651, hep-th/0005223;
11. S. Penati, A. Santambrogio, Superspace approach to anomalous dimensions in N = 4 SYM, Nucl. Phys. B 614 (2001) 367, hep-th/0107071.
12. D.Z. Freedman, S.D. Mathur, A. Matusis, L. Rastelli, Correlation functions in the CFT(d)/AdS(d + 1) correspondence, Nucl. Phys. B 546 (1999) 96, hep-th/9804058;
13. 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;
14. 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;
15. P.S. Howe, E. Sokatchev, P.C. West, 3-point functions in N = 4 Yang-Mills, Phys. Lett. B 444 (1998) 341;
16. G.E. Arutyunov, S.A. Frolov, Three-point Green function of the stress-energy tensor in the AdS/CFT correspondence, Phys. Rev. D 60 (1999) 026004, hep-th/9901121;
17. B. Eden, P.S. Howe, P.C. West, Nilpotent invariants in N = 4 SYM, Phys. Lett. B 463 (999) 19, hepth/9905085.
18. 5-SYM correspondence, JHEP 9910 (1999) 003, hep-th/9906151;
19. E. D'Hoker, D.Z. Freedman, S.D. Mathur, A. Matusis, L. Rastelli, Extremal correlators in the AdS/CFT correspondence, hep-th/9908160;
20. M. Bianchi, S. Kovacs, Non-renormalisation of extremal correlators in N = 4 SYM theory, Phys. Lett. B 468 (1999) 102, hep-th/9910016;
21. B. Eden, P.S. Howe, C. Schubert, E. Sokatchev, P.C. West, Extremal correlators in four-dimensional SCFT, Phys. Lett. B 472 (2000) 323, hep-th/9910150.
22. J. Erdmenger, M. Perez-Victoria, Non-renormalization of next-to-extremal correlators in N = 4 SYM and the AdS/CFT correspondence, Phys. Rev. D 62 (2000) 045008, hep-th/9912250.
23. M. Bianchi, M.B. Green, S. Kovacs, G.C. Rossi, Instantons in supersymmetric Yang-Mills and D-instantons in IIB superstring theory, JHEP 9808 (1998) 013, hep-th/9807033;
24. N. Dorey, T.J. Hollowood, V.V. Khoze, M.P. Mattis, S. Vandoren, Multi-instanton calculus and the AdS/CFT correspondence in N = 4 superconformal field theory, Nucl. Phys. B 552 (1999) 88, hep-th/9901128.
25. K. Intriligator, Bonus symmetries of N = 4 super-Yang-Mills correlation functions via AdS duality, Nucl. Phys. B 551 (1999) 575, hep-th/9811047;
26. K. Intriligator, W. Skiba, Bonus symmetry and the operator product expansion of N = 4 super-Yang-Mills, Nucl. Phys. B 559 (1999) 165, hep-th/9905020.
27. J. Maldacena, Wilson loops in large N field theories, Phys. Rev. Lett. 80 (1998) 4859, hep-th/9803002;
28. S. Rey, J. Yee, Macroscopic strings as heavy quarks in large N gauge theory and anti-de Sitter supergravity, Eur. Phys. J. C 22 (2001) 379, hep-th/9803001.
29. N. Drukker, D.J. Gross, H. Ooguri, Wilson loops and minimal surfaces, Phys. Rev. D 60 (1999) 125006, hep-th/9904191;
30. H. Ooguri, Wilson loops in large N theories, Class. Quantum Grav. 17 (2000) 1225, hep-th/9909040;
31. N. Drukker, D.J. Gross, An exact prediction of N = 4 SUSYM theory for string theory, J. Math. Phys. 42 (2001) 2896, hep-th/0010274.
32. J.K. Erickson, G.W. Semenoff, K. Zarembo, Wilson loops in N = 4 supersymmetric Yang-Mills theory, Nucl. Phys. B 582 (2000) 155, hep-th/0003055;
33. G.W. Semenoff, K. Zarembo, More exact predictions of SUSYM for string theory, Nucl. Phys. B 616 (2001) 34, hep-th/0106015.
34. J. Plefka, M. Staudacher, Two loops to two loops in N = 4 supersymmetric Yang-Mills theory, JHEP 0109 (2001) 031, hep-th/0108182;
35. G. Arutyunov, J. Plefka, M. Staudacher, Limiting geometries of two circular Maldacena-Wilson loop operators, JHEP 0112 (2001) 014, hep-th/0111290.
36. M. Bianchi, M.B. Green, S. Kovacs, Instantons and BPS Wilson loops, hep-th/0107028;
37. M. Bianchi, M.B. Green, S. Kovacs, Instanton corrections to circular Wilson loops inN = 4 supersymmetric Yang-Mills, JHEP 0204 (2002) 040, hep-th/0202003.
38. B. Eden, A.C. Petkou, C. Schubert, E. Sokatchev, Partial non-renormalisation of the stress-tensor four-point function in N = 4 SYM and AdS/CFT, Nucl. Phys. B 607 (2001) 191, hep-th/0009106;
39. E. D'Hoker, J. Erdmenger, D.Z. Freedman, M. Perez-Victoria, Near-extremal correlators and vanishing supergravity couplings in AdS/CFT, Nucl. Phys. B 589 (2000) 3, hep-th/0003218.
40. F.A. Dolan, H. Osborn, Implications of N = 1 superconformal symmetry for chiral fields, Nucl. Phys. B 593 (2001) 599, hep-th/0006098;
41. F.A. Dolan, H. Osborn, Conformal four point functions and the operator product expansion, Nucl. Phys. B 599 (2001) 459, hep-th/0011040;
42. F.A. Dolan, H. Osborn, Superconformal symmetry, correlation functions and the operator product expansion, Nucl. Phys. B 629 (2002) 3, hep-th/0112251.
43. M. Bianchi, S. Kovacs, G.C. Rossi, Ya.S. Stanev, Properties of the Konishi multiplet in N = 4 SYM theory, JHEP 0105 (2001) 042, hep-th/0104016.
44. 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;
45. 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;
46. B. Eden, P.S. Howe, A. Pickering, E. Sokatchev, P.C. West, Four point functions in N = 2 superconformal field theories, Nucl. Phys. B 581 (2000) 523, hep-th/0001138;
47. B. Eden, C. Schubert, E. Sokatchev, Three-loop four-point correlator in N = 4 SYM, Phys. Lett. B 482 (2000) 309, hep-th/0003096.
48. M. Bianchi, S. Kovacs, G.C. Rossi, Ya.S. Stanev, On the logarithmic behaviour in N = 4 SYM theory, JHEP 9908 (1999) 020, hep-th/9906188.
49. 4, Nucl. Phys. B 584 (2000) 216, hep-th/0003203.
50. 4, Nucl. Phys. B 620 (2002) 380, hep-th/0103230;
51. G. Arutyunov, B. Eden, E. Sokatchev, On non-renormalization and OPE in superconformal field theories, Nucl. Phys. B 619 (2001) 359, hep-th/0105254;
52. B. Eden, E. Sokatchev, On the OPE of 1/2 BPS short operators in N = 4 SCFT(4), Nucl. Phys. B 618 (2001) 259, hep-th/0106249;
53. S. Ferrara, E. Sokatchev, Universal properties of superconformal OPEs for 1/2 BPS operators in 3 ≤ D ≤ 6, New J. Phys. 4 (2002) 2, hep-th/0110174;
54. P.J. Heslop, P.S. Howe, OPEs and three-point correlators of protected operators in N = 4 SYM, Nucl. Phys. B 626 (2002) 265, hep-th/0107212.
55. P.J. Heslop, P.S. Howe, On harmonic superspaces and superconformal fields in four dimensions, Class. Quantum Grav. 17 (2000) 3743, hep-th/0005135;
56. P.J. Heslop, P.S. Howe, Harmonic superspaces and superconformal fields, hep-th/0009217;
57. P.J. Heslop, Superfield representations of superconformal groups, Class. Quantum Grav. 19 (2002) 303, hep-th/0108235.
58. 5, Phys. Lett. B 431 (1998) 49, hep-th/9803060;
59. S. Ferrara, A. Zaffaroni, Bulk gauge fields in AdS supergravity and supersingletons, hep-th/9807090;
60. 5 correspondence, hep-th/9908163.
61. P.J. Heslop, P.S. Howe, A note on composite operators in N = 4 SYM, Phys. Lett. B 516 (2001) 367, hep-th/0106238.
62. 4, Nucl. Phys. B 602 (2001) 238;
63. G. Arutyunov, S. Frolov, A.C. Petkou, Nucl. Phys. B 609 (2001) 540, hep-th/0010137, Erratum;
64. G. Arutyunov, S. Frolov, A.C. Petkou, 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.
65. M. Blau, J. Figueroa-O'Farrill, C. Hull, G. Papadopoulos, A new maximally supersymmetric background of IIB superstring theory, JHEP 0201 (2002) 047, hep-th/0110242;
66. M. Blau, J. Figueroa-O'Farrill, C. Hull, G. Papadopoulos, Penrose limits and maximal supersymmetry, Class. Quantum Grav. 19 (2002) L87, hep-th/0201081;
67. M. Blau, J. Figueroa-O'Farrill, G. Papadopoulos, Penrose limits, supergravity and brane dynamics, hepth/0202111.
68. D. Berenstein, J.M. Maldacena, H. Nastase, Strings in flat space and pp-waves from N = 4 super-Yang-Mills, JHEP 0204 (2002) 013, hep-th/0202021.
69. N.R. Constable, D.Z. Freedman, M. Headrick, S. Minwalla, L. Motl, A. Postnikov, W. Skiba, pp-wave string interactions from perturbative Yang-Mills theory, hep-th/0205089.
70. C. Kristjansen, J. Plefka, G.W. Semenoff, M. Staudacher, A new double-scaling limit of N = 4 super-Yang-Mills theory and pp-wave strings, hep-th/0205033.
71. D.J. Gross, A. Mikhailov, R. Roiban, Operators with large R charge in N = 4 Yang-Mills theory, hepth/0205066.
72. L. Brink, J. Scherk, J.H. Schwarz, Supersymmetric Yang-Mills theories, Nucl. Phys. B 121 (1977) 77;
73. F. Gliozzi, D.I. Olive, J. Sherk, Supersymmetry, supergravity and the dual spinor model, Nucl. Phys. B 122 (1977) 253.
74. M. Grisaru, M. Roček, W. Siegel, Zero value of the three-loop β function in N = 4 supersymmetric Yang-Mills theory, Phys. Rev. Lett. 45 (1980) 1063;
75. W.E. Caswell, D. Zanon, Zero three-loop beta-function in N = 4 supersymmetric Yang-Mills theory, Nucl. Phys. B 182 (1981) 125.
76. 4, JHEP 9912 (1999) 006, hep-th/9910197.
77. S. Kovacs, A perturbative re-analysis of N = 4 supersymmetric Yang-Mills theory, hep-th/9902047;
78. S. Kovacs, N = 4 supersymmetric Yang-Mills theory and the AdS/SCFT correspondence, Ph.D. Thesis, hep-th/9908171.
79. 5 as N = 4 primary superfields, Phys. Lett. B 430 (1998) 248, hep-th/9803171;
80. d correspondence, Lett. Math. Phys. 46 (1998) 265, hep-th/9807150;
81. 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.
82. 4, Phys. Lett. B 394 (1997) 329, hep-th/9608125;
83. D. Anselmi, D.Z. Freedman, M.T. Grisaru, A.A. Johansen, Non-perturbative formulas for central functions of supersymmetric gauge theories, Nucl. Phys. B 526 (1998) 543, hep-th/9708042;
84. D. Anselmi, J. Erlich, D.Z. Freedman, A.A. Johansen, Positivity constraints on anomalies in supersymmetric gauge theories, Phys. Rev. D 57 (1998) 7570, hep-th/9711035;
85. D. Anselmi, The N = 4 quantum conformal algebra, Nucl. Phys. B 541 (1999) 369, hep-th/9809192.
86. V.K. Dobrev, V.B. Petkova, All positive energy unitary irreducible representations of extended conformal supersymmetry, Phys. Lett. B 162 (1985) 127.
87. M. Flato, C. Fronsdal, One massless particle equals two Dirac singletons: Elementary particles in a curved space. 6, Lett. Math. Phys. 2 (1978) 421;
88. M. Flato, C. Fronsdal, On dis and racs, Phys. Lett. B 97 (1980) 236;
89. M. Flato, C. Fronsdal, Quantum field theory of singletons: The rac, J. Math. Phys. 22 (1981) 1100;
90. M. Flato, C. Fronsdal, Quarks or singletons?, Phys. Lett. B 172 (1986) 412.
91. 5 compactification of the chiral N = 2, D = 10 supergravity and the unitary supermultiplets of U(2, 2/4), Class. Quantum Grav. 2 (1985) L11.
92. 4 and harmonic superspace analyticity, Adv. Theor. Math. Phys. 3 (1999) 1149, hep-th/9912007;
93. S. Ferrara, E. Sokatchev, Short representations of SU(2, 2|N) and harmonic superspace analyticity, Lett. Math. Phys. 52 (2000) 247, hep-th/9912168;
94. S. Ferrara, E. Sokatchev, Superconformal interpretation of BPS states in AdS geometries, Int. J. Theor. Phys. 40 (2001) 935, hep-th/0005151.
95. A.S. Galperin, E.A. Ivanov, V.I. Ogievetsky, E.S. Sokatchev, Harmonic Superspace, Cambridge Univ. Press, Cambridge, 2001, p. 306.
96. M.F. Sohnius, Bianchi identities for supersymmetric gauge theories, Nucl. Phys. B 136 (1978) 461;
97. M.F. Sohnius, Supersymmetry and central charges, Nucl. Phys. B 138 (1978) 109;
98. W. Siegel, On-shell O(N) supergravity in superspace, Nucl. Phys. B 177 (1981) 325;
99. P.S. Howe, K.S. Stelle, P.K. Townsend, Nucl. Phys. B 191 (1981) 445;
100. P.S. Howe, K.S. Stelle, P.K. Townsend, Nucl. Phys. B 192 (1981) 332.
101. K. Konishi, Anomalous supersymmetry transformation of some composite operators in SQCD, Phys. Lett. B 135 (1984) 195;
102. K. Konishi, K. Shizuya, Functional integral approach to chiral anomalies in supersymmetric gauge theories, Nuovo Cimento A 90 (1985) 111.
103. R.R. Metsaev, Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background, Nucl. Phys. B 625 (2002) 70, hep-th/0112044;
104. R.R. Metsaev, A.A. Tseytlin, Exactly solvable model of superstring in plane wave Ramond-Ramond background, hep-th/0202109.
105. N. Berkovits, Conformal field theory for the superstring in a Ramond-Ramond plane wave background, JHEP 0204 (2002) 037, hep-th/0203248;
106. N. Berkovits, Covariant quantization of the superstring, Int. J. Mod. Phys. A 16 (2001) 801, hep-th/0008145.
107. S.R. Das, C. Gomez, S.J. Rey, Penrose limit, spontaneous symmetry breaking and holography in pp-wave background, hep-th/0203164;
108. E. Kiritsis, B. Pioline, Strings in homogeneous gravitational waves and null holography, hep-th/0204004;
109. R.G. Leigh, K. Okuyama, M. Rozali, pp-waves and holography, hep-th/0204026.
110. See, e.g., M. Bianchi, D.Z. Friedman, K. Skenderis, How to go with an RG flow, JHEP 0108 (2001) 041, hep-th/0105276;
111. M. Bianchi, D.Z. Friedman, K. Skenderis, Holographic renormalization, hep-th/0112119, and references therein.
112. D. Berenstein, H. Nastase, On lightcone string field theory from super-Yang-Mills and holography, hepth/0205048.
113. 5 string theory and d = 4 SUSY Yang-Mills, JHEP 9805 (1998) 002, hep-th/9804170.
114. M. Billo, I. Pesando, Boundary states for GS superstrings in an Hpp-wave background, hep-th/0203028;
115. K. Skenderis, M. Taylor, Branes in AdS and pp-wave spacetimes, hep-th/0204054;
116. O. Bergman, M.R. Gaberdiel, M.B. Green, D-brane interactions in type IIB plane-wave background, hepth/0205183.
117. W. Siegel, Supersymmetric dimensional regularization via dimensional reduction, Phys. Lett. B 84 (1979) 193.
118. K.G. Chetyrkin, A.L. Kataev, F.V. Tkachov, New approach to evaluation of multiloop Feynman integrals: The Gegenbauer x-space technique, Nucl. Phys. B 174 (1980) 345.
119. D.Z. Freedman, K. Johnson, J.I. Latorre, Differential regularization and renormalisation: a new method of calculation in quantum field theory, Nucl. Phys. B 371 (1992) 353.