Maths HEP supplementary seminars: Cluster Algebras in Scattering Amplitudes with special 2D kinematics
12 December 2013 11:00 in CM219
The complicated polylogarithm expressions of n points, 2 loops, N=4 SYM MHV scattering amplitudes have found a large simplification when its cluster structure is explored, but at n>=8 the cluster algebra becomes infinite and hard to handle. At 2D kinematical constraint, its cluster algebra is always finite and it allows us to study more of the cluster structure of scattering amplitudes. Among other things we try to address the problem on the existence of a special selection rule of X-coordinates in the choice of cross ratios for the amplitudes, relating this selection to substructures of the cluster algebra.
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