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2017

Cluster adjacency properties of scattering amplitudes

Drummond, James, Foster, Jack, Gurdogan, Omer

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We conjecture a new set of analytic relations for scattering amplitudes in planar N=4 super Yang-Mills theory.

They generalise the Steinmann relations and are expressed in terms of the cluster algebras associated to Gr(4,n).
In terms of the symbol, they dictate which letters can appear consecutively.
We study heptagon amplitudes and integrals in detail and present symbols for previously unknown integrals at two and three loops which support our conjecture.

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S. Fomin and A. Zelevinsky, J. Am. Math. Soc. 15
2002
Earlier work this paper cites.
S. Fomin and A. Zelevinsky, Invent. Math. 154
2003
Earlier work this paper cites.
J. S. Scott, Proc. Lond. Math. Soc. III Ser. 92
2006
Earlier work this paper cites.
L. F. Alday and J. M. Maldacena, JHEP 0706
Original
2007
Earlier work this paper cites.
J. Drummond, G. Korchemsky, and E. Sokatchev, Nucl.Phys. B795
Original
2008
Earlier work this paper cites.
A. Brandhuber, P. Heslop, and G. Travaglini, Nucl.Phys. B794
Original
2008
Earlier work this paper cites.
Z. Bern, L. Dixon, D. Kosower, R. Roiban, M. Spradlin, et al. , Phys.Rev. D78
Original
2008
Earlier work this paper cites.

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S. Caron-Huot, L. J. Dixon, A. McLeod, and M. von Hippel, Phys. Rev. Lett. 117
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