Systematics of quarter BPS operators in N = 4 SYM

Journal of High Energy Physics

Volumn 7, Issue 4, 2003, Pages 843-866

  D'Hoker, Eric ^a   Ryzhov, Anton V ^a   Heslop, Paul ^b,c   Howe, Paul ^d  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF HAMBURG   (Germany)

^c UNIVERSITY OF LEIPZIG   (Germany)

^d KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

AdS CFT and dS CFT Correspondence; Superspaces

Indexed keywords

EID: 23044488675     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (61)

1. V.K. Dobrev and V.B. Petkova, On the group theoretical approach to extended conformal supersymmetry: classification of multiplets, Lett. Math. Phys. 9 (1985) 287.
2. S. Ferrara and E. Sokatchev, Short representations of SU(2, 2|N) and harmonic superspace an alyticity, Lett. Math. Phys. 52 (2000) 247 [hep-th/9912168];
3. S. Ferrara, Superspace representations of SU(2, 2|N) superalgebras and multiplet shortening, hep-th/0002141.
4. S. Minwalla, Restrictions imposed by superconformal invariance on quantum field theories, Adv. Theor. Math. Phys. 2 (1998) 781 [hep-th/9712074];
5. J. Rasmussen, Comments on N = 4 superconformal algebras, Nucl. Phys. B 593 (2001) 634 [hep-th/0003035].
6. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200].
7. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109].
8. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150].
9. O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111].
10. D. Bigatti and L. Susskind, Tasi lectures on the holographic principle, hep-th/0002044.
11. E. D'Hoker and D.Z. Freedman, Supersymmetric gauge theories and the AdS/CFT correspondence, hep-th/0201253.
12. S.-M. Lee, S. Minwalla, M. Rangamani and 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].
13. D.Z. Freedman, S.D. Mathur, A. Matusis and L. Rastelli, Correlation functions in the CFT(d)/AdS(d + 1) correspondence, Nucl. Phys. B 546 (1999) 96 [hep-th/9804058].
14. E. D'Hoker, D.Z. Freedman and W. Skiba, Field theory tests for correlators in the AdS/CFT correspondence, Phys. Rev. D 59 (1999) 045008 [hep-th/9807098].
15. 4, J. High Energy Phys. 12 (1999) 006 [hep-th/9910197].
16. P.S. Howe, E. Sokatchev and P.C. West, 3-point functions in N = 4 Yang-Mills, Phys. Lett. B 444 (1998) 341 [hep-th/9808162].
17. F. Bastianelli and R. Zucchini, Three point functions for a class of chiral operators in maximally supersymmetric CFT at large-N, Nucl. Phys. B 574 (2000) 107 [hep-th/9909179];
18. 3-point functions of universal scalars in maximal SCFTs at large-N, J. High Energy Phys. 05 (2000) 047 [hep-th/0003230].
19. K.A. Intriligator, Bonus symmetries of N = 4 super-Yang-Mills correlation functions via AdS duality, Nucl. Phys. B 551 (1999) 575 [hep-th/9811047];
20. K.A. Intriligator and W. Skiba, Bonus symmetry and the operator product expansion of N = 4 super-Yang-Mills, Nucl. Phys. B 559 (1999) 165 [hep-th/9905020].
21. B. Eden, P.S. Howe and P.C. West, Nilpotent invariants in N = 4 SYM, Phys. Lett. B 463 (1999) 19 [hep-th/9905085];
22. P.S. Howe, C. Schubert, E. Sokatchev and P.C. West, Explicit construction of nilpotent covariants in N = 4 SYM, Nucl. Phys. B 571 (2000) 71 [hep-th/9910011].
23. P.S. Howe and P.C. West, Superconformal invariants and extended supersymmetry, Phys. Lett. B 400 (1997) 307 [hep-th/9611075].
24. E. D'Hoker, D.Z. Freedman, S.D. Mathur, A. Matusis and L. Rastelli, Extremal correlators in the AdS/CFT correspondence, in the Yuri Golfand memorial volume. Many faces of the superworld, M. Shifman ed., World Scientific, Singapore 2000, [hep-th/9908160].
25. B. Eden, P.S. Howe, C. Schubert, E. Sokatchev and P.C. West, Extremal correlators in four-dimensional sCFT, Phys. Lett. B 472 (2000) 323 [hep-th/9910150].
26. 4 at strong coupling, Nucl. Phys. B 586 (2000) 547 [hep-th/0005182];
27. 4, Nucl. Phys. B 602 (2001) 238 [hep-th/0010137];
28. 4, Nucl. Phys. B 620 (2002) 380 [hep-th/0103230];
29. P. J. Heslop and P.S. Howe, A note on composite operators in N = 4 SYM, Phys. Lett. B 516 (2001) 367 [hep-th/0106238].
30. M. Blanchi and S. Kovacs, Non-renormalization of extremal correlators in N = 4 SYM theory, Phys. Lett. B 468 (1999) 102 [hep-th/9910016].
31. B.U. Eden, P.S. Howe, E. Sokatchev and P.C. West, Extremal and next-to-extremal n-point correlators in four-dimensional sCFT, Phys. Lett. B 494 (2000) 141 [hep-th/0004102].
32. J. Erdmenger and 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].
33. E. D'Hoker, J. Erdmenger, D.Z. Freedman and M. Perez-Victoria, Near-extremal correlators and vanishing supergravity couplings in AdS/CFT, Nucl. Phys. B 589 (2000) 3 [hep-th/0003218].
34. 5, Nucl. Phys. B 579 (2000) 117 [hep-th/9912210];
35. 5, hep-th/0002152.
36. G. Arutyunov, B. Eden and E. Sokatchev, On non-renormalization and OPE in superconformal field theories, Nucl. Phys. B 619 (2001) 359 [hep-th/0105254].
37. W. Skiba, Correlators of short multi-trace operators in N = 4 supersymmetric Yang-Mills, Phys. Rev. D 60 (1999) 105038 [hep-th/9907088];
38. F. Gonzalez-Rey, B. Kulik and I.Y. Park, Non-renormalization of two point and three point correlators of N = 4 SYM in N = 1 superspace, Phys. Lett. B 455 (1999) 164 [hep-th/9903094].
39. S. Ferrara and E. Sokatchev, Superconformal interpretation of BPS states in AdS geometries, Int. J. Theor. Phys. 40 (2001) 935-984 [hep-th/0005151];
40. P. J. Heslop and P.S. Howe, A note on composite operators in N = 4 SYM, Phys. Lett. B 516 (2001) 367 [hep-th/0106238];
41. N. Maggiore and A. Tanzini, Protected operators in N = 2,4 supersymmetric theories, Nucl. Phys. B 613 (2001) 34 [hep-th/0105005].
42. L. Andrianopoli and S. Ferrara, Short and long SU(2, 2/4) multiplets in the AdS/CFT correspondence, Lett. Math. Phys. 48 (1999) 145 [hep-th/9812067];
43. L. Andrianopoli, S. Ferrara, E. Sokatchev and B. Zupnik, Shortening of primary operators in N-extended SCFT(4) and harmonic-superspace analyticity, Adv. Theor. Math. Phys. 3 (1999) 1149 [hep-th/9912007].
44. A.V. Ryzhov, Quarter BPS operators in N = 4 SYM, J. High Energy Phys. 11 (2001) 046 [hep-th/0109064].
45. E. D'Hoker and A.V. Ryzhov, Three-point functions of quarter BPS operators in N = 4 SYM, J. High Energy Phys. 02 (2002) 047 [hep-th/0109065].
46. L. Hoffmann, L. Mesref, A. Meziane and W. Ruhl, Multi-trace quasi-primary fields of N = 4 SYM(4) from AdS n-point functions, Nucl. Phys. B 641 (2002) 188 [hep-th/0112191].
47. P.J. Heslop and P.S. Howe, Opes and 3-point correlators of protected operators in N = 4 SYM, Nucl. Phys. B 626 (2002) 265 [hep-th/0107212].
48. H. Liu and A.A. Tseytlin, D = 4 super Yang-Mills, D = 5 gauged supergravity and D = 4 conformal supergravity, Nucl. Phys. B 533 (1998) 88 [hep-th/9804083];
49. E. D'Hoker and D.Z. Freedman, Gauge boson exchange in AdS(d + 1), Nucl. Phys. B 544 (1999) 612 [hep-th/9809179];
50. E. D'Hoker, S.D. Mathur, A. Matusis and 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];
51. M. Blanchi, M.B. Green, S. Kovacs and G. Rossi, Instantons in supersymmetric Yang-Mills and d-instantons in IIB superstring theory, J. High Energy Phys. 08 (1998) 013 [hep-th/9807033];
52. B. Eden, P.S. Howe, C. Schubert, E. Sokatchev and 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];
53. P. J. Heslop and P.S. Howe, Four-point functions in N = 4 SYM, J. High Energy Phys. 01 (2003) 043 [hep-th/0211252];
54. G. Arutyunov, F.A. Dolan, H. Osborn and E. Sokatchev, Correlation functions and massive Kaluza-Klein modes in the AdS/CFT correspondence, hep-th/0212116.
55. A. Galperin, E. Ivanov, S. Kalitsyn, V. Ogievetsky and E. Sokatchev, Unconstrained N = 2 matter, Yang-Mills and supergravity theories in harmonic superspace, Class. and Quant. Grav. 1 (1984) 469.
56. G.G. Hartwell and P.S. Howe, (N,p,q) harmonic superspace, Int. J. Mod. Phys. A 10 (1995) 3901 [hep-th/9412147];
57. A superspace survey, Class. and Quant. Grav. 12 (1995) 1823.
58. P. Heslop and P.S. Howe, On harmonic superspaces and superconformal fields in four dimensions, Class. and Quant. Grav. 17 (2000) 3743 [hep-th/0005135].
59. E. D'Hoker and D.H. Phong, Lectures on supersymmetric Yang-Mills theory and integrable systems, in Theoretical Physics at the end of the XX-th Century, proceedings of the CRM Summer School, June 27 - July 10, 1999, Banff, Canada Y. Saint-Aubin and L. Vinet eds., Springer Verlag 2000, [hep-th/9912271].
60. F.A. Dolan and H. Osborn, On short and semi-short representations for four dimensional superconformal symmetry, hep-th/0209056.
61. 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].