The Grassmannian and the twistor string: Connecting all trees in N = 4 SYM

Journal of High Energy Physics

Volumn 2011, Issue 1, 2011, Pages

  Bourjaily, Jacob L ^a,b   Trnka, Jaroslav ^a,b   Volovich, Anastasia ^c   Wen, Congkao ^c  

^a INSTITUTE FOR ADVANCED STUDY   (United States)

^b PRINCETON UNIVERSITY   (United States)

^c BROWN UNIVERSITY   (United States)

Author keywords

Gauge symmetry; String duality; Supersymmetric gauge theory; Supersymmetry and duality

Indexed keywords

EID: 80053101911     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP01(2011)038     Document Type: Article

References (24)

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. L. Dolan and P. Goddard, Gluon tree amplitudes in open twistor string theory, JHEP 12 (2009) 032 [arXiv: 0909. 0499].
3. D. Nandan, A. Volovich and C. Wen, A Grassmannian etude in NMHV minors, JHEP 07 (2010) 061 [arXiv:0912.3705].
4. N. Arkani-Hamed, J. Bourjaily, F. Cachazo and J. Trnka, Unification of residues and Grassmannian dualities, arXiv: 0912.4912.
5. M. Spradlin and A. Volovich, From twistor string theory to recursion relations, Phys. Rev. D 80 (2009) 085022 [arXiv:0909.0229].
6. L. J. Mason and D. Skinner, Dual superconformal invariance, momentum twistors and Grassmannians, JHEP 11 (2009) 045 [arXiv: 0909.0250].
7. N. Arkani-Hamed, F. Cachazo and C. Cheung, The Grassmannian origin of dual superconformal invariance, JHEP 03 (2010) 036 [arXiv: 0909. 0483].
8. M. Bullimore, L. J. Mason and D. Skinner, Twistor-strings, Grassmannians and leading singularities, JHEP 03 (2010) 070 [arXiv: 0912. 0539].
9. k.' Grassmannian kinematics, JHEP 03 (2010) 025 [arXiv: 0912. 0957].
10. N. Arkani-Hamed, J. L. Bourjaily, F. Cachazo, C. Cheung, J. Kaplan and J. Trnka, Inverse soft factors and the Grassmannian, unpublished.
11. N. Arkani-Hamed, J. Bourjaily, F. Cachazo and J. Trnka, Local spacetime physics from the Grassmannian, arXiv: 0912. 3249.
12. J. M. Drummond and L. Ferro, Yangians, Grassmannians and T-duality, JHEP 07 (2010) 027 [arXiv: 1001.3348].
13. J. M. Drummond and L. Ferro, The Yangian origin of the Grassmannian integral, JHEP 12 (2010) 010 [arXiv: 1002.4622].
14. 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].
15. L. Dolan and P. Goddard, General split helicity gluon tree amplitudes in open twistor string theory, JHEP 05 (2010) 044 [arXiv: 1002.4852].
16. J. Brodel and S. He, Dual conformal constraints and infrared equations from global residue theorems in N = 4 SYM theory, JHEP 06 (2010) 054 [arXiv: 1004.2400].
17. R. Britto, F. Cachazo and B. Feng, New recursion relations for tree amplitudes of gluons, Nucl. Phys. B 715 (2005) 499 [hep-th/0412308].
18. 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].
19. J. M. Drummond and J. M. Henn, All tree-level amplitudes in N = 4 SYM, JHEP 04 (2009) 018 [arXiv: 0808. 2475].
20. E. Witten, Perturbative gauge theory as a string theory in twistor space, Commun. Math. Phys. 252 (2004) 189 [hep-th/0312171].
21. 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].
22. R. Roiban, M. Spradlin and A. Volovich, A googly amplitude from the B-model in twistor space, JEEP 04 (2004) 012 [hep-th/0402016].
23. R. Roiban and A. Volovich, All googly amplitudes from the B-model in twistor space, Phys. Rev. Lett. 93 (2004) 131602 [hep-th/0402121].
24. P. Griffiths and J. Harris, Principles of algebraic geometry, Wiley, New York U. S. A. (1978).