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The Grassmannian and the Twistor String: Connecting All Trees in N=4 SYM · Around

2010

The Grassmannian and the Twistor String: Connecting All Trees in N=4 SYM

Bourjaily, Jacob L., Trnka, Jaroslav, Volovich, Anastasia et al.

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We present a new, explicit formula for all tree-level amplitudes in N=4 super Yang-Mills.

The formula is written as a certain contour integral of the connected prescription of Witten's twistor string, expressed in link variables.
A very simple deformation of the integrand gives directly the Grassmannian integrand proposed by Arkani-Hamed et al.
together with the explicit contour of integration.

Built on

Wiley, New York, 1978
P. Griffiths and J. Harris, Principles of Algebraic Geometry · 1978
Earlier work this paper cites.
E. Witten, “Perturbative Gauge Theory as a String Theory in Twistor Space,” Commun. Math. Phys
2004
Earlier work this paper cites.
R. Roiban, M. Spradlin, and A. Volovich, “On the Tree-Level S-Matrix of Yang-Mills Theory,” Phys. Rev
2004
Earlier work this paper cites.
R. Roiban, M. Spradlin, and A. Volovich, “A Googly Amplitude from the B-Model in Twistor Space,” JHEP
2004
Earlier work this paper cites.

Similar

R. Roiban and A. Volovich, “All Googly Amplitudes from the B-Model in Twistor Space,” Phys. Rev. Lett
2004
Cited alongside, same era.
R. Britto, F. Cachazo, and B. Feng, “New Recursion Relations for Tree Amplitudes of Gluons,” Nucl. Phys
2005
Cited alongside, same era.
R. Britto, F. Cachazo, B. Feng, and E. Witten, “Direct Proof of Tree-Level Recursion Relation in Yang- Mills Theory,” Phys. Rev. Lett
2005
Cited alongside, same era.
L. Dolan and P. Goddard, “Gluon Tree Amplitudes in Open Twistor String Theory,” JHEP
Original
2009
Cited alongside, same era.
N. Arkani-Hamed, F. Cachazo, C. Cheung, and J. Kaplan, “A Duality for The S-Matrix,” arXiv:0907.5418 [hep-th]
Original
Cited in the paper.
D. Nandan, A. Volovich, and C. Wen, “A Grassmannian Étude in NMHV Minors,” arXiv:0912.3705 [hep-th]
Original
Cited in the paper.
N. Arkani-Hamed, J. Bourjaily, F. Cachazo, and J. Trnka, “Unification of Residues and Grassmannian Dualities,” arXiv:0912.4912 [hep-th]
Original
Cited in the paper.
N. Arkani-Hamed, F. Cachazo, and C. Cheung, “The Grassmannian Origin of Dual Superconformal Invariance,” arXiv:0909.0483 [hep-th]
Original
Cited in the paper.
M. Bullimore, L. Mason, and D. Skinner, “Twistor-Strings, Grassmannians and Leading Singularities,” arXiv:0912.0539 [hep-th]
Original
Cited in the paper.
J. Kaplan, “Unraveling ℒ n , k \mathcal{L}_{n,k} : Grassmannian Kinematics,” arXiv:0912.0957 [hep-th]
Original
Cited in the paper.
N. Arkani-Hamed, J. Bourjaily, F. Cachazo, and J. Trnka, “Local Spacetime Physics from the Grassmannian,” arXiv:0912.3249 [hep-th]
Original
Cited in the paper.
J. M. Drummond and L. Ferro, “Yangians, Grassmannians and T-Duality,” arXiv:1001.3348 [hep-th]
Original
Cited in the paper.

Then

M. Spradlin and A. Volovich, “From Twistor String Theory To Recursion Relations,” Phys. Rev
Original
2009
Later among the works it cites.
L. Mason and D. Skinner, “Dual Superconformal Invariance, Momentum Twistors and Grassmannians,” JHEP
Original
2009
Later among the works it cites.
N. Arkani-Hamed, J. L. Bourjaily, F. Cachazo, C. Cheung, J. Kaplan, and J. Trnka. Work in progress, 2010
Original
2010
Closest in time.

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