Talk (non-conference) (Invited)

PUBDB-2025-01156

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Clustering and the Five-Point Function

Lai, D. (Corresponding author)DESY*

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.

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project G:(GEPRIS)460391856 - Feldtheorie lösen mittels Integrabilität (460391856) (460391856)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2025

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