Aspects of superconformal field theories in six dimensions

Journal of High Energy Physics

Volumn 8, Issue 7, 2004, Pages 1357-1398

  Heslop, Paul J ^a  

^a UNIVERSITY OF LEIPZIG   (Germany)

Author keywords

AdS CFT and dS CFT Correspondence; Extended Supersymmetry; Field Theories in Higher Dimensions; Superspaces

Indexed keywords

EID: 23044441395     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (50)

1. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200].
2. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150].
3. 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].
4. 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].
5. E. D'Hoker and D.Z. Freedman, Supersymmetric gauge theories and the AdS/CFT correspondence, hep-th/0201253.
6. P.S. Howe and P.C. West, AdS/sCFT in superspace, Class. and Quant. Grav. 18 (2001) 3143 [hep-th/0105218].
7. M.F. Sohnius and P.C. West, Conformal invariance in N = 4 supersymmetric Yang-Mills theory, Phys. Lett. B 100 (1981) 245.
8. L. Brink, O. Lindgren and B.E.W. Nilsson, N=4 Yang-Mills theory on the light cone, Nucl. Phys. B 212 (1983) 401.
9. P.S. Howe, K.S. Stelle and P.K. Townsend, Miraculous ultraviolet cancellations in supersymmetry made manifest, Nucl. Phys. B 236 (1984) 125.
10. P.S. Howe, G. Sierra and P.K. Townsend, Supersymmetry in six-dimensions, Nucl. Phys. B 221 (1983) 331.
11. P.S. Howe, On harmonic superspace, hep-th/9812133.
12. P.S. Howe, Aspects of the D = 6, (2, 0) tensor multiplet, Phys. Lett. B 503 (2001) 197 [hep-th/0008048].
13. J.-H. Park, Superconformal symmetry in six-dimensions and its reduction to four, Nucl. Phys. B 539 (1999) 599 [hep-th/9807186].
14. R. Corrado, B. Florea and R. McNees, Correlation functions of operators and wilson surfaces in the D = 6, (0,2) theory in the large-N limit, Phys. Rev. D 60 (1999) 085011 [hep-th/9902153].
15. B. Eden, S. Ferrara and E. Sokatchev, (2,0) superconformal opes in D = 6, selection rules and non-renormalization theorems, J. High Energy Phys. 11 (2001) 020 [hep-th/0107084].
16. G. Arutyunov and E. Sokatchev, Implications of superconformal symmetry for interacting (2,0) tensor multiplets, Nucl. Phys. B 635 (2002) 3 [hep-th/0201145].
17. 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.
18. G.G. Hartwell and P.S. Howe, (n, p, q) harmonic superspace, Int. J. Mod. Phys. A 10 (1995) 3901 [hep-th/9412147].
19. P.S. Howe and G.G. Hartwell, A superspace survey, Class. and Quant. Grav. 12 (1995) 1823.
20. J. Lukierski and A. Nowicki, General superspaces from supertwistors, Phys. Lett. B 211 (1988) 276.
21. A. Galperin, E. Ivanov, V. Ogievetsky, and E. Sokatchev, Conformal invariance in harmonic superspace, JINR-E2-85-363.
22. 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].
23. P. J. Heslop, Superfield representations of superconformal groups, Class. and Quant. Grav. 19 (2002) 303 [hep-th/0108235].
24. H. Osborn and A.C. Petkou, Implications of conformal invariance in field theories for general dimensions, Ann. Phys. (NY) 231 (1994) 311 [hep-th/9307010].
25. H. Osborn, Implications of conformal invariance for quantum field theories in d > 2, hep-th/9312176.
26. 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].
27. 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].
28. P.J. Heslop and P.S. Howe, Aspects of N = 4 SYM, J. High Energy Phys. 01 (2004) 058 [hep-th/0307210].
29. P.J. Heslop, Superconformal field theories in analytic superspace, hep-th/0403144.
30. 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].
31. B.U. Eden, P.S. Howe, A. Pickering, E. Sokatchev and P.C. West, Four-point functions in N = 2 superconformal field theories, Nucl. Phys. B 581 (2000) 523 [hep-th/0001138].
32. B. Eden, A.C. Petkou, C. Schubert and 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].
33. 4 at strong coupling, Nucl. Phys. B 586 (2000) 547 [hep-th/0005182].
34. 4, Nucl. Phys. B 602 (2001) 238 [hep-th/0010137].
35. B. Eden, C. Schubert and E. Sokatchev, Three-loop four-point correlator in N = 4 SYM, Phys. Lett. B 482 (2000) 309 [hep-th/0003096].
36. B. Eden, C. Schubert and E. Sokatchev, Four-point functions of chiral primary operators in N = 4 SYM, hep-th/0010005.
37. 4, Nucl. Phys. B 584 (2000) 216 [hep-th/0003203].
38. 4, Nucl. Phys. B 620 (2002) 380 [hep-th/0103230].
39. F.A. Dolan and H. Osborn, Superconformal symmetry, correlation functions and the operator product expansion, Nucl. Phys. B 629 (2002) 3 [hep-th/0112251].
40. P. J. Heslop and P.S. Howe, Four-point functions in N = 4 SYM, J. High Energy Phys. 01 (2003) 043 [hep-th/0211252].
41. G. Arutyunov, F.A. Dolan, H. Osborn and E. Sokatchev, Correlation functions and massive Kaluza-Klein modes in the AdS/CFT correspondence, Nucl. Phys. B 665 (2003) 273 [hep-th/0212116].
42. G. Arutyunov, S. Penati, A. Santambrogio and E. Sokatchev, Four-point correlators of BPS operators in N = 4 SYM at order g**4, Nucl. Phys. B 670 (2003) 103 [hep-th/0305060].
43. F.A. Dolan and H. Osborn, Conformal four point functions and the operator product expansion, Nucl. Phys. B 599 (2001) 459 [hep-th/0011040].
44. F.A. Dolan and H. Osborn, Conformal partial waves and the operator product expansion, Nucl. Phys. B 678 (2004) 491 [hep-th/0309180].
45. V.K. Dobrev, Positive energy unitary irreducible representations of D = 6 conformal supersymmetry, J. Phys. A 35 (2002) 7079 [hep-th/0201076].
46. 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].
47. F.A. Dolan, L. Gallot and E. Sokatchev, On four-point functions of 1/2-BPS operators in general dimensions, hep-th/0405180.
48. F.A. Dolan and H. Osborn, On short and semi-short representations for four dimensional superconformal symmetry, Ann. Phys. (NY) 307 (2003) 41 [hep-th/0209056].
49. F.A. Dolan and H. Osborn, On short and semi-short representations for four dimensional superconformal symmetry, Ann. Phys. (NY) 307 (2003) 41 [hep-th/0209056].
50. E. D'Hoker, P. Heslop, P. Howe and A.V. Ryzhov, Systematics of quarter BPS operators in N = 4 SYM, J. High Energy Phys. 04 (2003) 038 [hep-th/0301104].