Effective conformal theory and the flat-space limit of AdS

Journal of High Energy Physics

Volumn 2011, Issue 7, 2011, Pages

  Fitzpatrick, A Liam ^a   Katz, Emanuel ^a   Poland, David ^b   Simmons Duffin, David ^b  

^a USA   (United States)

^b HARVARD UNIVERSITY   (United States)

Author keywords

1 N expansion; AdS CFT Correspondence; Field theories in higher dimensions

Indexed keywords

EID: 80053162553     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP07(2011)023     Document Type: Article

References (24)

1. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [SPIRES].
2. 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] [SPIRES].
3. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [SPIRES].
4. I. Heemskerk, J. Penedones, J. Polchinski and J. Sully, Holography from conformal field theory, JHEP 10 (2009) 079 [arXiv:0907.0151] [SPIRES].
5. H. Liu, Scattering in Anti-de Sitter space and operator product expansion, Phys. Rev. D 60 (1999) 106005 [hep-th/9811152] [SPIRES].
6. E. D́ and D.Z. Freedman, General scalar exchange in AdS(d + 1), Nucl. Phys. B 550 (1999) 261 [hep-th/9811257] [SPIRES].
7. E. D'Hoker, D.Z. Freedman, S.D. Mathur, A. Matusis and L. Rastelli, Graviton exchange and complete 4-point functions in the AdS/CFT correspondence, Nucl. Phys. B 562 (1999) 353 [hep-th/9903196] [SPIRES].
8. E. D́Hoker, 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] [SPIRES].
9. L. Hoffmann, A.C. Petkou and W. R̈uhl, Aspects of the conformal operator product expansion in AdS/CFT correspondence, Adv. Theor. Math. Phys. 4 (2002) 571 [hep-th/0002154] [SPIRES].
10. G. Arutyunov, S. Frolov and 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] [SPIRES].
11. L. Hoffmann, L. Mesref and W. R̈uhl, AdS box graphs, unitarity and operator product expansions, Nucl. Phys. B 589 (2000) 337 [hep-th/0006165] [SPIRES].
12. G. Arutyunov, S. Penati, A.C. Petkou, A. Santambrogio and E. Sokatchev, Non-protected operators in N = 4 SYM and multiparticle states of AdS5 SUGRA, Nucl. Phys. B 643 (2002) 49 [hep-th/0206020] [SPIRES].
13. L. Cornalba, M.S. Costa, J. Penedones and R. Schiappa, Eikonal approximation in AdS/CFT: conformal partial waves and finite N four-point functions, Nucl. Phys. B 767 (2007) 327 [hep-th/0611123] [SPIRES].
14. L. Cornalba, M.S. Costa and J. Penedones, Eikonal approximation in AdS/CFT: resumming the gravitational loop expansion, JHEP 09 (2007) 037 [arXiv:0707.0120] [SPIRES].
15. I. Heemskerk and J. Sully, More holography from conformal field theory, JHEP 09 (2010) 099 [arXiv:1006.0976] [SPIRES].
16. J. Polchinski, S-matrices from AdS spacetime, hep-th/9901076 [SPIRES].
17. L. Susskind, Holography in the flat space limit, hep-th/9901079 [SPIRES].
18. V. Balasubramanian, S.B. Giddings and A.E. Lawrence, What do CFTs tell us about Anti-de Sitter spacetimes?, JHEP 03 (1999) 001 [hep-th/9902052] [SPIRES].
19. S.B. Giddings, The boundary S-matrix and the AdS to CFT dictionary, Phys. Rev. Lett. 83 (1999) 2707 [hep-th/9903048] [SPIRES].
20. S.B. Giddings, Flat-space scattering and bulk locality in the AdS/CFT correspondence, Phys. Rev. D 61 (2000) 106008 [hep-th/9907129] [SPIRES].
21. A. Jevicki and H. Nastase, Towards S matrices on flat space and pp waves from SYM, hep-th/0501013 [SPIRES].
22. M. Gary, S.B. Giddings and J. Penedones, Local bulk S-matrix elements and CFT singularities, Phys. Rev. D 80 (2009) 085005 [arXiv:0903.4437] [SPIRES].
23. M. Gary and S.B. Giddings, The flat space S-matrix from the AdS/CFT correspondence?, Phys. Rev. D 80 (2009) 046008 [arXiv:0904.3544] [SPIRES].
24. T. Okuda and J. Penedones, String scattering in flat space and a scaling limit of Yang-Mills correlators, Phys. Rev. D 83 (2011) 086001 [arXiv:1002.2641] [SPIRES].