% IMPORTANT: The following is UTF-8 encoded. This means that in the presence % of non-ASCII characters, it will not work with BibTeX 0.99 or older. % Instead, you should use an up-to-date BibTeX implementation like “bibtex8” or % “biber”. @INPROCEEDINGS{Lai:630953, author = {Lai, Davide}, title = {{C}lustering and the {F}ive-{P}oint {F}unction}, reportid = {PUBDB-2025-01913}, year = {2025}, abstract = {The 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.}, month = {Jun}, date = {2025-06-03}, organization = {All around Integrability, Modena (Italy), 3 Jun 2025 - 5 Jun 2025}, subtyp = {Invited}, cin = {T}, cid = {I:(DE-H253)T-20120731}, pnm = {611 - Fundamental Particles and Forces (POF4-611) / DFG project G:(GEPRIS)460391856 - Feldtheorie lösen mittels Integrabilität (460391856)}, pid = {G:(DE-HGF)POF4-611 / G:(GEPRIS)460391856}, experiment = {EXP:(DE-MLZ)NOSPEC-20140101}, typ = {PUB:(DE-HGF)6}, url = {https://bib-pubdb1.desy.de/record/630953}, }