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000630953 1001_ $$0P:(DE-H253)PIP1101735$$aLai, Davide$$b0$$eCorresponding author$$udesy
000630953 1112_ $$aAll around Integrability$$cModena$$d2025-06-03 - 2025-06-05$$wItaly
000630953 245__ $$aClustering and the Five-Point Function
000630953 260__ $$c2025
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000630953 520__ $$aThe hexagonalisation technique arose in the context of N=4 SYM theory to address the tessellation of the effective world-sheet describing three-point functions of single trace operators. Despite its apparent technical difficulty, exploiting the knowledge of all its ingredients at finite 't Hooft coupling one can perform some non-trivial limits, like the strong-coupling one. In this case, a phenomenon called "clustering" allows the complete resummation of finite-size effects leading to the semi-classical string answer. I will introduce the general background and then discuss the generalization to some particular class of five-point functions, where the clustering phenomenon becomes more involved, involving cross-ratios and some analytic continuation of the ingredients to unusual kinematic regimes. In the end, I will speculate about some tentative directions that one could take.
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