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Original
2007
Earlier work this paper cites.
L. F. Alday and J. M. Maldacena, “Gluon scattering amplitudes at strong coupling,” JHEP 0706
Original
2007
Earlier work this paper cites.
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Original
2007
Earlier work this paper cites.
A. Brandhuber, P. Heslop and G. Travaglini, “MHV amplitudes in N=4 super Yang-Mills and Wilson loops,” Nucl. Phys. B 794
Original
2007
Earlier work this paper cites.
L. J. Mason and D. Skinner, “The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space,” JHEP 1012
Original
2010
Earlier work this paper cites.
N. Arkani-Hamed, J. L. Bourjaily, F. Cachazo, A. Hodges and J. Trnka, “A Note on Polytopes for Scattering Amplitudes,” JHEP 1204
Original
2012
Earlier work this paper cites.
A. Hodges, “Eliminating spurious poles from gauge-theoretic amplitudes,” JHEP 1305
Original
2013
Earlier work this paper cites.
N. Arkani-Hamed and J. Trnka, “Into the Amplituhedron,” JHEP 1412
Original
2014
Earlier work this paper cites.
Y. Bai and S. He, “The Amplituhedron from Momentum Twistor Diagrams,” JHEP 1502
Original
2015
Earlier work this paper cites.
S. Franco, D. Galloni, A. Mariotti and J. Trnka, “Anatomy of the Amplituhedron,” JHEP 1503
Original
2015
Earlier work this paper cites.

Similar

N. Arkani-Hamed, A. Hodges and J. Trnka, “Positive Amplitudes In The Amplituhedron,” JHEP 1508
Original
2015
Cited alongside, same era.
D. Chicherin, R. Doobary, B. Eden, P. Heslop, G. P. Korchemsky, L. Mason and E. Sokatchev, “Correlation functions of the chiral stress-tensor multiplet in 𝒩 = 4 \mathcal{N}=4 SYM,” JHEP 1506
Original
2015
Cited alongside, same era.
T. Lam, “Amplituhedron cells and Stanley symmetric functions,” Commun. Math. Phys. 343
Original
2016
Cited alongside, same era.
Y. Bai, S. He and T. Lam, “The Amplituhedron and the One-loop Grassmannian Measure,” JHEP 1601
Original
2016
Cited alongside, same era.
L. Ferro, T. Lukowski, A. Orta and M. Parisi, “Towards the Amplituhedron Volume,” JHEP 1603

Then

B. Eden, P. Heslop and L. Mason, “The Correlahedron,” JHEP 1709
Original
2017
Later among the works it cites.
N. Arkani-Hamed, Y. Bai and T. Lam, “Positive Geometries and Canonical Forms,” JHEP 1711
Original
2017
Later among the works it cites.
D. Chicherin and E. Sokatchev, JHEP 1702
Original
2017
Later among the works it cites.
N. Arkani-Hamed, H. Thomas and J. Trnka, “Unwinding the Amplituhedron in Binary,” JHEP 1801
Original
2018
Closest in time.
J. Rao, “4-particle Amplituhedron at 3-loop and its Mondrian Diagrammatic Implication,” JHEP 1806
Original
2018

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2018

The twistor Wilson loop and the amplituhedron

Heslop, Paul, Stewart, Alastair

Understand

The amplituhedron provides a beautiful description of perturbative superamplitude integrands in N=4 SYM in terms of purely geometric objects, generalisations of polytopes.

On the other hand the Wilson loop in supertwistor space also gives an explicit description of these superamplitudes as a sum of planar Feynman diagrams.
Each Feynman diagram can be naturally associated with a geometrical object in the same space as the amplituhedron (although not uniquely).
This suggests that these geometric images of the Feynman diagrams give a tessellation of the amplituhedron.