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arXiv · 1611.05436

Tessellating cushions: four-point functions in N=4 SYM

Burkhard Eden·Alessandro Sfondrini
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Abstract

We consider a class of planar tree-level four-point functions in N=4 SYM in a special kinematic regime: one BMN operator with two scalar excitations and three half-BPS operators are put onto a line in configuration space; additionally, for the half-BPS operators a co-moving frame is chosen in flavour space. In configuration space, the four-punctured sphere is naturally triangulated by tree-level planar diagrams. We demonstrate on a number of examples that each tile can be associated with a modified hexagon form-factor in such a way as to efficiently reproduce the tree-level four-point function. Our tessellation is not of the OPE type, fostering the hope of finding an independent, integrability-based approach to the computation of planar four-point functions.

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Burkhard Eden, Alessandro Sfondrini. 2016-11-16. Tessellating cushions: four-point functions in N=4 SYM. https://doi.org/10.1007/jhep10(2017)098

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