Unification of residues and Grassmannian dualities

Journal of High Energy Physics

Volumn 2011, Issue 1, 2011, Pages

  Arkani Hamed, N ^a   Bourjaily, J ^a,c   Cachazo, F ^a,b   Trnka, J ^a,c  

^a INSTITUTE FOR ADVANCED STUDY   (United States)

^b PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

^c PRINCETON UNIVERSITY   (United States)

Author keywords

Extended supersymmetry; String duality; Supersymmetric gauge theory; Supersymmetry and duality

Indexed keywords

EID: 80053117523     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP01(2011)049     Document Type: Article

References (44)

1. N. Arkani-Hamed, F. Cachazo, C. Cheung and J. Kaplan, A Duality for the S Matrix, JHEP 03 (2010) 020 [arXiv:0907.5418].
2. N. Arkani-Hamed, F. Cachazo, C. Cheung and J. Kaplan, The S-matrix in Twistor Space, JHEP 03 (2010) 110 [arXiv:0903.2110].
3. N. Arkani-Hamed, F. Cachazo and C. Cheung, The Grassmannian Origin of Dual Superconformal Invariance, JHEP 03 (2010) 036 [arXiv:0909.0483].
4. L. Mason and D. Skinner, Dual Superconformal Invariance, Momentum Twistors and Grassmannians, JHEP 11 (2009) 045 [arXiv:0909.0250].
5. A. Hodges, Eliminating spurious poles from gauge-theoretic amplitudes, arXiv:0905.1473.
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. L. F. Alday and J. M. Maldacena, Gluon scattering amplitudes at strong coupling, JHEP 06 (2007) 064 [arXiv:0705.0303].
8. 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].
9. 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].
10. 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].
11. 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].
12. M. Bullimore, L. Mason and D. Skinner, Twistor-Strings, Grassmannians and Leading Singularities, JHEP 03 (2010) 070 [arXiv:0912.0539].
13. n, k: Grassmannian Kinematics, JHEP 03 (2010) 025 [arXiv:0912.0957].
14. R. Britto, F. Cachazo and B. Feng, New Recursion Relations for Tree Amplitudes of Gluons, Nucl. Phys. B 715 (2005) 499 [hep-th/0412308].
15. 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].
16. J. M. Drummond and J. M. Henn, All tree-level amplitudes in N = 4 SYM, JHEP 04 (2009) 018 [arXiv:0808.2475].
17. N. Arkani-Hamed, J. Bourjaily, F. Cachazo and J. Trnka, Local Spacetime Physics from the Grassmannian, arXiv:0912.3249.
18. K. Risager, A direct proof of the CSW rules, JHEP 12 (2005) 003 [hep-th/0508206].
19. K. Risager, Unitarity and On-Shell Recursion Methods for Scattering Amplitudes, arXiv:0804.3310.
20. F. Cachazo, P. Svrček and E. Witten, Twistor space structure of one-loop amplitudes in gauge theory, JHEP 10 (2004) 074 [hep-th/0406177].
21. F. Cachazo, P. Svrček and E. Witten, MHV vertices and tree amplitudes in gauge theory, JHEP 09 (2004) 006 [hep-th/0403047].
22. F. Cachazo, P. Svrček and E. Witten, Gauge theory amplitudes in twistor space and holomorphic anomaly, JHEP 10 (2004) 077 [hep-th/0409245].
23. R. Roiban, M. Spradlin and A. Volovich, On the tree-level S-matrix of Yang-Mills theory, Phys. Rev. D 70 (2004) 026009 [hep-th/0403190].
24. E. Witten, Perturbative gauge theory as a string theory in twistor space, Commun. Math. Phys. 252 (2004) 189 [hep-th/0312171].
25. N. Berkovits, An alternative string theory in twistor space for N = 4 super-Yang-Mills, Phys. Rev. Lett. 93 (2004) 011601 [hep-th/0402045].
26. L. Dolan and P. Goddard, Gluon Tree Amplitudes in Open Twistor String Theory, JHEP 12 (2009) 032 [arXiv:0909.0499].
27. M. Spradlin and A. Volovich, From Twistor String Theory to Recursion Relations, Phys. Rev. D 80 (2009) 085022 [arXiv:0909.0229].
28. R. Roiban and A. Volovich, All googly amplitudes from the B-model in twistor space, Phys. Rev. Lett. 93 (2004) 131602 [hep-th/0402121].
29. E. Witten, Parity invariance for strings in twistor space, Adv. Theor. Math. Phys. 8 (2004) 779 [hep-th/0403199].
30. C. Vergu, On the factorisation of the connected prescription for Yang-Mills amplitudes, Phys. Rev. D 75 (2007) 025028 [hep-th/0612250].
31. S. Gukov, L. Motl and A. Neitzke, Equivalence of twistor prescriptions for super Yang-Mills, Adv. Theor. Math. Phys. 11 (2007) 199 [hep-th/0404085].
32. L. J. Dixon, Twistor string theory and QCD, PoS (HEP2005) 405 [hep-ph/0512111].
33. L. J. Mason, Twistor actions for non-self-dual fields: a derivation of twistor-string theory, JHEP 10 (2005) 009 [hep-th/0507269].
34. N. Berkovits and E. Witten, Conformal supergravity in twistor-string theory, JHEP 08 (2004) 009 [hep-th/0406051].
35. L. Dolan and J. N. Ihry, Conformal Supergravity Tree Amplitudes from Open Twistor String Theory, Nucl. Phys. B 819 (2009) 375 [arXiv:0811.1341].
36. J. Bedford, On perturbative field theory and twistor string theory, arXiv:0709.3478.
37. L. Mason and D. Skinner, Heterotic twistor-string theory, Nucl. Phys. B 795 (2008) 105 [arXiv:0708.2276].
38. L. Dolan and P. Goddard, Tree and loop amplitudes in open twistor string theory, JHEP 06 (2007) 005 [hep-th/0703054].
39. F. Cachazo and P. Svrček, Lectures on twistor strings and perturbative Yang-Mills theory, PoS (RTN2005) 004 [hep-th/0504194].
40. P. Griffiths and J. Harris, Principles of Algebraic Geometry, Wiley, New York (1978).
41. D. Nandan, A. Volovich and C. Wen, A Grassmannian Étude in NMHV Minors, JHEP 07 (2010) 061 [arXiv:0912.3705].
42. N. Arkani-Hamed, J. L. Bourjaily, F. Cachazo, C. Cheung and J. Kaplan, Inverse Soft Factors and the Grassmannian, unpublished.
43. L. Mason and D. Skinner, Scattering Amplitudes and BCFW Recursion in Twistor Space, JHEP 01 (2010) 064 [arXiv:0903.2083].
44. H. S. White, Seven points on a twisted cubic curve, Proc. Natl. Acad. Sci. 1 (1915) 464.