Notes on the scattering amplitude - Wilson loop duality

Journal of High Energy Physics

Volumn 2011, Issue 7, 2011, Pages

  Caron Huot, S ^a  

^a INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

Superspaces; Supersymmetry and Duality

Indexed keywords

EID: 80053103237     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP07(2011)058     Document Type: Article

References (57)

1. J.A. Minahan and K. Zarembo, The Bethe-ansatz for N = 4 super Yang-Mills, JHEP 03 (2003) 013 [hep-th/0212208].
2. N. Beisert, B. Eden and M. Staudacher, Transcendentality and crossing, J. Stat. Mech. (2007) P01021 [hep-th/0610251].
3. J.M. Maldacena, The large-N limit of superconformal theories and supergravity, Int. J. Theor. Phys. 1999. 38. 1113. 231. [hep-th/9711200], [Adv. Theor. Math. Phys. 2 (1998)
4. M.B. Green, J.H. Schwarz and L. Brink, N = 4 Yang-Mills and N = 8 supergravity as limits of string theories, Nucl. Phys. B 198 (1982) 474.
5. Z. Bern, M. Czakon, L.J. Dixon, D.A. Kosower and V.A. Smirnov, The four-loop planar amplitude and cusp anomalous dimension in maximally supersymmetric Yang-Mills theory, Phys. Rev. D 75 (2007) 085010 [hep-th/0610248].
6. J.M. Drummond, J. Henn, V.A. Smirnov and E. Sokatchev, Magic identities for conformal four-point integrals, JHEP 01 (2007) 064 [hep-th/0607160].
7. Z. Bern, L.J. Dixon and V.A. Smirnov, Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond, Phys. Rev. D 72 (2005) 085001 [hep-th/0505205].
8. J.M. Drummond, J. Henn, G.P. Korchemsky and E. Sokatchev, On planar gluon amplitudes/Wilson loops duality, Nucl. Phys. B 795 (2008) 52 [arXiv:0709.2368].
9. L.F. Alday and J.M. Maldacena, Gluon scattering amplitudes at strong coupling, JHEP 06 (2007) 064 [arXiv:0705.0303].
10. L.F. Alday and J. Maldacena, Comments on gluon scattering amplitudes via AdS/CFT, JHEP 11 (2007) 068 [arXiv:0710.1060].
11. J. Bartels, L.N. Lipatov and A. Sabio Vera, BFKL pomeron, reggeized gluons and Bern-Dixon-Smirnov amplitudes, Phys. Rev. D 80 (2009) 045002 [arXiv:0802.2065].
12. N. Berkovits and J. Maldacena, Fermionic T-duality, dual superconformal symmetry and the amplitude/Wilson loop connection, JHEP 09 (2008) 062 [arXiv:0807.3196].
13. L.F. Alday and R. Roiban, Scattering amplitudes, Wilson loops and the string/gauge theory correspondence, Phys. Rept. 468 (2008) 153 [arXiv:0807.1889].
14. G.P. Korchemsky, J.M. Drummond and E. Sokatchev, Conformal properties of four-gluon planar amplitudes and Wilson loops, Nucl. Phys. B 795 (2008) 385 [arXiv:0707.0243].
15. A. Brandhuber, P. Heslop and G. Travaglini, MHV Amplitudes in N = 4 super Yang-Mills and Wilson loops, Nucl. Phys. B 794 (2008) 231 [arXiv:0707.1153].
16. J.M. Drummond, J. Henn, G.P. Korchemsky and E. Sokatchev, The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude, Phys. Lett. B 662 (2008) 456 [arXiv:0712.4138].
17. Z. Bern et al., The two-loop six-gluon MHV amplitude in maximally supersymmetric Yang-Mills theory, Phys. Rev. D 78 (2008) 045007 [arXiv:0803.1465].
18. J.M. Drummond, J. Henn, G.P. Korchemsky and E. Sokatchev, Hexagon Wilson loop = six-gluon MHV amplitude, Nucl. Phys. B 815 (2009) 142 [arXiv:0803.1466].
19. J.M. Drummond, J. Henn, G.P. Korchemsky and E. Sokatchev, Dual superconformal symmetry of scattering amplitudes in N = 4 super-Yang-Mills theory, Nucl. Phys. B 828 (2010) 317 [arXiv:0807.1095].
20. A. Brandhuber, P. Heslop and G. Travaglini, A note on dual superconformal symmetry of the N = 4 super Yang-Mills S-matrix, Phys. Rev. D 78 (2008) 125005 [arXiv:0807.4097].
21. A. Hodges, Eliminating spurious poles from gauge-theoretic amplitudes, arXiv:0905.1473.
22. L.J. Mason and D. Skinner, Dual superconformal invariance, momentum twistors and grassmannians, JHEP 11 (2009) 045 [arXiv:0909.0250].
23. N. Arkani-Hamed, F. Cachazo and C. Cheung, The grassmannian origin of dual superconformal invariance, JHEP 03 (2010) 036 [arXiv:0909.0483].
24. J.M. Drummond, J.M. Henn and J. Plefka, Yangian symmetry of scattering amplitudes in N = 4 super Yang-Mills theory, JHEP 05 (2009) 046 [arXiv:0902.2987].
25. G.P. Korchemsky and E. Sokatchev, Symmetries and analytic properties of scattering amplitudes in N = 4 SYM theory, Nucl. Phys. B 832 (2010) 1 [arXiv:0906.1737].
26. L.F. Alday, J.M. Henn, J. Plefka and T. Schuster, Scattering into the
27. L.J. Mason and D. Skinner, The complete planar S-matrix of N = 4 SYM as a Wilson loop in twistor space, JHEP 12 (2010) 018 [arXiv:1009.2225].
28. L. Mason and D. Skinner, Amplitudes at weak coupling as polytopes in AdS5, J. Phys. A 44 (2011) 135401 [arXiv:1004.3498].
29. B. Eden, G.P. Korchemsky and E. Sokatchev, More on the duality correlators/amplitudes, arXiv:1009.2488.
30. B. Eden, G.P. Korchemsky and E. Sokatchev, From correlation functions to scattering amplitudes, arXiv:1007.3246.
31. N. Arkani-Hamed, J.L. Bourjaily, F. Cachazo, S. Caron-Huot and J. Trnka, The all-loop integrand for scattering amplitudes in planar N = 4 SYM, JHEP 01 (2011) 041 [arXiv:1008.2958].
32. S. Caron-Huot, Loops and trees, JHEP 05 (2011) 080 [arXiv:1007.3224].
33. V.P. Nair, A current algebra for some gauge theory amplitudes, Phys. Lett. B 214 (1988) 215.
34. M. Bullimore, L.J. Mason and D. Skinner, MHV diagrams in momentum twistor space, JHEP 12 (2010) 032 [arXiv:1009.1854].
35. G. Chalmers and W. Siegel, The self-dual sector of QCD amplitudes, Phys. Rev. D 54 (1996) 7628 [hep-th/9606061].
36. H. Elvang, D.Z. Freedman and M. Kiermaier, Dual conformal symmetry of 1-loop NMHV amplitudes in N = 4 SYM theory, JHEP 03 (2010) 075 [arXiv:0905.4379].
37. N. Arkani-Hamed, J.L. Bourjaily, F. Cachazo and J. Trnka, Local integrals for planar scattering amplitudes, arXiv:1012.6032.
38. A. Hodges, The box integrals in momentum-twistor geometry, arXiv:1004.3323.
39. L. Mason and D. Skinner, Amplitudes at weak coupling as polytopes in AdS5, J. Phys. A 44 (2011) 135401 [arXiv:1004.3498].
40. J.M. Drummond and J.M. Henn, Simple loop integrals and amplitudes in N = 4 SYM, JHEP 05 (2011) 105 [arXiv:1008.2965].
41. L.F. Alday, Some analytic results for two-loop scattering amplitudes, arXiv:1009.1110.
42. G.P. Korchemsky and E. Sokatchev, Superconformal invariants for scattering amplitudes in N = 4 SYM theory, Nucl. Phys. B 839 (2010) 377 [arXiv:1002.4625].
43. J.M. Drummond and L. Ferro, The yangian origin of the grassmannian integral, JHEP 12 (2010) 010 [arXiv:1002.4622].
44. L.F. Alday, B. Eden, G.P. Korchemsky, J. Maldacena and E. Sokatchev, From correlation functions to Wilson loops, arXiv:1007.3243.
45. R. Britto, F. Cachazo and B. Feng, New recursion relations for tree amplitudes of gluons, Nucl. Phys. B 715 (2005) 499 [hep-th/0412308].
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. J.M. Drummond and J.M. Henn, All tree-level amplitudes in N = 4 SYM, JHEP 04 (2009) 018 [arXiv:0808.2475].
48. 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].
49. 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].
50. 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].
51. A. Petkou and K. Skenderis, A non-renormalization theorem for conformal anomalies, Nucl. Phys. B 561 (1999) 100 [hep-th/9906030].
52. 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].
53. S. Weinberg, Six-dimensional methods for four-dimensional conformaleld theories, Phys. Rev. D 82 (2010) 045031 [arXiv:1006.3480].
54. A.B. Goncharov, M. Spradlin, C. Vergu and A. Volovich, Classical polylogarithms for amplitudes and Wilson loops, Phys. Rev. Lett. 105 (2010) 151605 [arXiv:1006.5703].
55. J.M. Henn, S.G. Naculich, H.J. Schnitzer and M. Spradlin, More loops and legs in Higgs-regulated N = 4 SYM amplitudes, JHEP 08 (2010) 002 [arXiv:1004.5381].
56. Z. Bern, J.S. Rozowsky and B. Yan, Two-loop four-gluon amplitudes in N = 4 super-Yang-Mills, Phys. Lett. B 401 (1997) 273 [hep-ph/9702424].
57. A.V. Belitsky, G.P. Korchemsky and E. Sokatchev, Are scattering amplitudes dual to super Wilson loops?, arXiv:1103.3008.