The Yangian origin of the Grassmannian integral

Journal of High Energy Physics

Volumn 2010, Issue 12, 2010, Pages

  Drummond, J M ^a,b   Ferro, L ^a  

^a UNIVERSITÉ DE SAVOIE   (France)

^b CNRS   (France)

Author keywords

AdS CFT correspondence; Integrable field theories; Supersymmetric gauge theory

Indexed keywords

EID: 78650229197     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP12(2010)010     Document Type: Article

References (56)

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, C. Kristjansen and M. Staudacher, The dilatation operator of N = 4 super Yang-Mills theory, Nucl. Phys. B 664 (2003) 131 [hep-th/0303060].
3. N. Beisert and M. Staudacher, Long-range PSU(2, 2/4) Bethe ansaetze for gauge theory and strings, Nucl. Phys. B 727 (2005) 1 [hep-th/0504190].
4. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113
5. [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200].
6. 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].
7. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150].
8. 5 superstring, Phys. Rev. D 69 (2004) 046002 [hep-th/0305116].
9. L.F. Alday and J.M. Maldacena, Gluon scattering amplitudes at strong coupling, JHEP 06 (2007) 064 [arXiv:0705.0303].
10. 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].
11. 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].
12. 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];
13. J.M. Drummond, J. Henn, G.P. Korchemsky and E. Sokatchev, Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes, Nucl. Phys. B 826 (2010) 337 [arXiv:0712.1223].
14. 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].
15. 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].
16. 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].
17. 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].
18. N. Berkovits and J. Maldacena, Fermionic T-duality, Dual Superconformal Symmetry and the Amplitude/Wilson Loop Connection, JHEP 09 (2008) 062 [arXiv:0807.3196].
19. N. Beisert, R. Ricci, A.A. Tseytlin and M. Wolf, Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability, Phys. Rev. D 78 (2008) 126004 [arXiv:0807.3228].
20. L.F. Alday, J.M. Henn, J. Plefka and T. Schuster, Scattering into the fifth dimension of N = 4 super Yang-Mills, JHEP 01 (2010) 077 [arXiv:0908.0684].
21. 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].
22. R. Britto, F. Cachazo and B. Feng, New Recursion Relations for Tree Amplitudes of Gluons, Nucl. Phys. B 715 (2005) 499 [hep-th/0412308].
23. 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].
24. J.M. Drummond and J.M. Henn, All tree-level amplitudes in N = 4 SYM, JHEP 04 (2009) 018 [arXiv:0808.2475].
25. 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].
26. L. Dolan, C.R. Nappi and E. Witten, A relation between approaches to integrability in superconformal Yang-Mills theory, JHEP 10 (2003) 017 [hep-th/0308089].
27. L. Dolan, C.R. Nappi and E. Witten, Yangian symmetry in D = 4 superconformal Yang-Mills theory, hep-th/0401243.
28. T. Bargheer, N. Beisert, W. Galleas, F. Loebbert and T. McLoughlin, Exacting N = 4 Superconformal Symmetry, JHEP 11 (2009) 056 [arXiv:0905.3738].
29. 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].
30. A. Sever and P. Vieira, Symmetries of the N = 4 SYM S-matrix, arXiv:0908.2437.
31. N. Beisert, J. Henn, T. McLoughlin and J. Plefka, One-Loop Superconformal and Yangian Symmetries of Scattering Amplitudes in N = 4 Super Yang-Mills, JHEP 04 (2010) 085 [arXiv:1002.1733].
32. G.P. Korchemsky and E. Sokatchev, Twistor transform of all tree amplitudes in N = 4 SYM theory, Nucl. Phys. B 829 (2010) 478 [arXiv:0907.4107].
33. N. Arkani-Hamed, F. Cachazo, C. Cheung and J. Kaplan, The S-matrix in Twistor Space, JHEP 03 (2010) 110 [arXiv:0903.2110].
34. L. Mason and D. Skinner, Scattering Amplitudes and BCFW Recursion in Twistor Space, JHEP 01 (2010) 064 [arXiv:0903.2083].
35. R. Britto, F. Cachazo and B. Feng, Generalized unitarity and one-loop amplitudes in N = 4 super-Yang-Mills, Nucl. Phys. B 725 (2005) 275 [hep-th/0412103].
36. J.M. Drummond, J. Henn, G.P. Korchemsky and E. Sokatchev, Generalized unitarity for N = 4 super-amplitudes, arXiv:0808.0491.
37. N. Arkani-Hamed, F. Cachazo and J. Kaplan, What is the Simplest Quantum Field Theory?, JHEP 09 (2010) 016 [arXiv:0808.1446].
38. Z. Bern, L.J. Dixon and D.A. Kosower, All next-to-maximally helicity-violating one-loop gluon amplitudes in N = 4 super-Yang-Mills theory, Phys. Rev. D 72 (2005) 045014 [hep-th/0412210].
39. F. Cachazo, Sharpening The Leading Singularity, arXiv:0803.1988.
40. N. Arkani-Hamed, F. Cachazo, C. Cheung and J. Kaplan, A Duality For The S Matrix, JHEP 03 (2010) 020 [arXiv:0907.5418].
41. M. Bullimore, L. Mason and D. Skinner, Twistor-Strings, Grassmannians and Leading Singularities, JHEP 03 (2010) 070 [arXiv:0912.0539].
42. n,k: Grassmannian Kinematics, JHEP 03 (2010) 025 [arXiv:0912.0957].
43. N. Arkani-Hamed, J. Bourjaily, F. Cachazo and J. Trnka, Local Spacetime Physics from the Grassmannian, arXiv:0912.3249.
44. N. Arkani-Hamed, J. Bourjaily, F. Cachazo and J. Trnka, Unification of Residues and Grassmannian Dualities, arXiv:0912.4912.
45. L. Mason and D. Skinner, Dual Superconformal Invariance, Momentum Twistors and Grassmannians, JHEP 11 (2009) 045 [arXiv:0909.0250].
46. A. Hodges, Eliminating spurious poles from gauge-theoretic amplitudes, arXiv:0905.1473.
47. N. Arkani-Hamed, F. Cachazo and C. Cheung, The Grassmannian Origin Of Dual Superconformal Invariance, JHEP 03 (2010) 036 [arXiv:0909.0483].
48. J.M. Drummond and L. Ferro, Yangians, Grassmannians and T-duality, JHEP 07 (2010) 027 [arXiv:1001.3348].
49. 5, Fortschr. Phys. 57 (2009) 329 [arXiv:0903.0609].
50. E. Witten, Perturbative gauge theory as a string theory in twistor space, Commun. Math. Phys. 252 (2004) 189 [hep-th/0312171].
51. H. Elvang, D.Z. Freedman and M. Kiermaier, Recursion Relations, Generating Functions and Unitarity Sums in N = 4 SYM Theory, JHEP 04 (2009) 009 [arXiv:0808.1720].
52. Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower, One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits, Nucl. Phys. B 425 (1994) 217 [hep-ph/9403226].
53. Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower, Fusing gauge theory tree amplitudes into loop amplitudes, Nucl. Phys. B 435 (1995) 59 [hep-ph/9409265].
54. R. Ricci, A.A. Tseytlin and M. Wolf, On T-duality and Integrability for Strings on AdS Backgrounds, JHEP 12 (2007) 082 [arXiv:0711.0707].
55. V.G. Kac, Lie Superalgebras, Adv. Math. 26 (1977) 8.
56. G.P. Korchemsky and E. Sokatchev, Superconformal invariants for scattering amplitudes in N=4 SYM theory arXiv:1002:4625.