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2017

Unwinding the Amplituhedron in Binary

Arkani-Hamed, Nima, Thomas, Hugh, Trnka, Jaroslav

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We present new, fundamentally combinatorial and topological characterizations of the amplituhedron.

Upon projecting external data through the amplituhedron, the resulting configuration of points has a specified (and maximal) generalized 'winding number'.
Equivalently, the amplituhedron can be fully described in binary: canonical projections of the geometry down to one dimension have a specified (and maximal) number of 'sign flips' of the projected data.
The locality and unitarity of scattering amplitudes are easily derived as elementary consequences of this binary code.

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