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The twistor Wilson loop and the amplituhedron. (arXiv:1807.05921v1 [hep-th])
来源于:arXiv
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. This turns out to be the case for
NMHV amplitudes. We prove however that beyond NMHV this is not true.
Specifically, each Feynman diagram leads to an image with a physical boundary
and spurious boundaries. The spurious ones should be "internal", matching with
neighbouring diagrams. We however show that there is no choice of geometric
image of the Wilson loop Feynman diagrams which yields a geometric object
without leaving un 查看全文>>