A natural language for AdS/CFT correlators

Journal of High Energy Physics

Volumn 2011, Issue 11, 2011, Pages

  Fitzpatrick, A Liam ^a   Kaplan, Jared ^b   Penedones, Joao ^c   Raju, Suvrat ^d   Van Rees, Balt C ^e  

^a USA   (United States)

^b SLAC NATIONAL ACCELERATOR LABORATORY   (United States)

^c PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

^d HARISH CHANDRA RESEARCH INSTITUTE   (India)

^e STONY BROOK UNIVERSITY   (United States)

Author keywords

AdS CFT correspondence; Conformal field models in string theory; Gauge gravity correspondence

Indexed keywords

EID: 84255161057     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP11(2011)095     Document Type: Article

References (50)

1. G. Mack, D-independent representation of Conformal Field Theories in D dimensions via transformation to auxiliary Dual Resonance Models. Scalar amplitudes, arXiv:0907.2407.
2. G. Mack, D-dimensional Conformal Field Theories with anomalous dimensions as Dual Resonance Models, arXiv:0909.1024.
3. J. Penedones, Writing CFT correlation functions as AdS scattering amplitudes, JHEP 03 (2011) 025 [arXiv:1011.1485].
4. S. Ferrara, A. Grillo, G. Parisi and R. Gatto, Covariant expansion of the conformal four-point function, Nucl. Phys. B 49 (1972) 77.
5. S. Ferrara, A.F. Grillo, R. Gatto and G. Parisi, Analyticity properties and asymptotic expansions of conformal covariant green's functions, Nuovo Cim. A 19 (1974) 667.
6. A. Polyakov, Nonhamiltonian approach to conformal quantum field theory, Zh. Eksp. Teor. Fiz. 66 (1974) 23.
7. V. Dobrev, V. Petkova, S. Petrova and I. Todorov, Dynamical Derivation of Vacuum Operator Product Expansion in Euclidean Conformal Quantum Field Theory, Phys. Rev. D 13 (1976) 887.
8. J.M. Maldacena, The Large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231
9. Int. J. Theor. Phys. 38 (1999) 1133] [hep-th/9711200]
10. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150].
11. S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109].
12. H. Liu and A.A. Tseytlin, On four point functions in the CFT/AdS correspondence, Phys. Rev. D 59 (1999) 086002 [hep-th/9807097].
13. H. Liu, Scattering in anti-de Sitter space and operator product expansion, Phys. Rev. D 60 (1999) 106005 [hep-th/9811152].
14. E. D'Hoker and D.Z. Freedman, General scalar exchange in AdS(d + 1), Nucl. Phys. B 550 (1999) 261 [hep-th/9811257].
15. D.Z. Freedman, S.D. Mathur, A. Matusis and L. Rastelli, Comments on 4 point functions in the CFT/AdS correspondence, Phys. Lett. B 452 (1999) 61 [hep-th/9808006].
16. 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].
17. E. D'Hoker, D.Z. Freedman, S.D. Mathur, A. Matusis and L. Rastelli, Graviton exchange and complete four point functions in the AdS/CFT correspondence, Nucl. Phys. B 562 (1999) 353 [hep-th/9903196].
18. G. Arutyunov and S. Frolov, Four point functions of lowest weight CPOs in N = 4 SYM(4) in supergravity approximation, Phys. Rev. D 62 (2000) 064016 [hep-th/0002170].
19. G. Arutyunov, F. 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].
20. G. Arutyunov and E. Sokatchev, On a large-N degeneracy in N = 4 SYM and the AdS/CFT correspondence, Nucl. Phys. B 663 (2003) 163 [hep-th/0301058].
21. L. Berdichevsky and P. Naaijkens, Four-point functions of different-weight operators in the AdS/CFT correspondence, JHEP 01 (2008) 071 [arXiv:0709.1365].
22. L.I. Uruchurtu, Four-point correlators with higher weight superconformal primaries in the AdS/CFT Correspondence, JHEP 03 (2009) 133 [arXiv:0811.2320].
23. E. Buchbinder and A. Tseytlin, On semiclassical approximation for correlators of closed string vertex operators in AdS/CFT, JHEP 08 (2010) 057 [arXiv:1005.4516].
24. L.I. Uruchurtu, Next-next-to-extremal Four Point Functions of N = 4 1=2 BPS Operators in the AdS/CFT Correspondence, JHEP 08 (2011) 133 [arXiv:1106.0630].
25. F. Dolan, M. Nirschl and H. Osborn, Conjectures for large-N superconformal N = 4 chiral primary four point functions, Nucl. Phys. B 749 (2006) 109 [hep-th/0601148].
26. E. D'Hoker, D.Z. Freedman and L. Rastelli, AdS/CFT 4-point functions: How to succeed at z-integrals without really trying, Nucl. Phys. B 562 (1999) 395 [hep-th/9905049].
27. F. Dolan and H. Osborn, Conformal partial waves and the operator product expansion, Nucl. Phys. B 678 (2004) 491 [hep-th/0309180].
28. L. Susskind, Holography in the at space limit, hep-th/9901079.
29. J. Polchinski, S matrices from AdS space-time, hep-th/9901076.
30. 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].
31. I. Heemskerk, J. Penedones, J. Polchinski and J. Sully, Holography from Conformal Field Theory, JHEP 10 (2009) 079 [arXiv:0907.0151].
32. A. Fitzpatrick, E. Katz, D. Poland and D. Simmons-Dufin, Effective Conformal Theory and the Flat-Space Limit of AdS, JHEP 07 (2011) 023 [arXiv:1007.2412].
33. T. Okuda and J. Penedones, String scattering in at space and a scaling limit of Yang-Mills correlators, Phys. Rev. D 83 (2011) 086001 [arXiv:1002.2641].
34. A. Fitzpatrick and J. Kaplan, Scattering States in AdS/CFT, arXiv:1104.2597.
35. 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].
36. S.B. Giddings, Flat space scattering and bulk locality in the AdS/CFT correspondence, Phys. Rev. D 61 (2000) 106008 [hep-th/9907129].
37. M. Gary and S.B. Giddings, Constraints on a fine-grained AdS/CFT correspondence, arXiv:1106.3553.
38. M.F. Paulos, Towards Feynman rules for Mellin amplitudes in AdS/CFT, arXiv:1107.1504.
39. R. Rattazzi, V.S. Rychkov, E. Tonni and A. Vichi, Bounding scalar operator dimensions in 4D CFT, JHEP 12 (2008) 031 [arXiv:0807.0004].
40. V.S. Rychkov and A. Vichi, Universal Constraints on Conformal Operator Dimensions, Phys. Rev. D 80 (2009) 045006 [arXiv:0905.2211].
41. P.A.M. Dirac, Wave equations in conformal space, Annals Math. 37 (1936) 429.
42. S. Weinberg, Six-dimensional Methods for Four-dimensional Conformal Field Theories, Phys. Rev. D 82 (2010) 045031 [arXiv:1006.3480].
43. F. Dolan and H. Osborn, Conformal four point functions and the operator product expansion, Nucl. Phys. B 599 (2001) 459 [hep-th/0011040].
44. K. Symanzik, On Calculations in conformal invariant field theories, Lett. Nuovo Cim. 3 (1972) 734.
45. J.M. Maldacena and G.L. Pimentel, On graviton non-Gaussianities during ination, JHEP 09 (2011) 045 [arXiv:1104.2846].
46. R. Britto, F. Cachazo, B. Feng and E. Witten, Direct proof of tree-level recursion relation in Yang-Mills theory, Phys. Rev. Lett. 94 (2005) 181602 [hep-th/0501052].
47. R. Britto, F. Cachazo and B. Feng, New recursion relations for tree amplitudes of gluons, Nucl. Phys. B 715 (2005) 499 [hep-th/0412308].
48. N. Arkani-Hamed and J. Kaplan, On Tree Amplitudes in Gauge Theory and Gravity, JHEP 04 (2008) 076 [arXiv:0801.2385].
49. S. Raju, BCFW for Witten Diagrams, Phys. Rev. Lett. 106 (2011) 091601 [arXiv:1011.0780].
50. S. Raju, Recursion Relations for AdS/CFT Correlators, Phys. Rev. D 83 (2011) 126002 [arXiv:1102.4724].