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arXiv · 2411.07330

Gluing via Intersection Theory

Giulio Crisanti·Burkhard Eden·Maximilian Gottwald·Pierpaolo Mastrolia·Tobias Scherdin
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Abstract

Higher-point functions in N = 4 super Yang-Mills theory can be constructed using integrability by triangulating the surfaces on which Feynman graphs would be drawn. It remains hard to analytically compute the necessary re-gluing of the tiles by virtual particles. We propose a new approach to study a series of residues encountered in the two-particle gluing of the planar one-loop five-point function of stress tensor multiplets. After exposing the twisted period nature of the integral functions, we employ intersection theory to derive canonical differential equations and present a solution.

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Giulio Crisanti, Burkhard Eden, Maximilian Gottwald, Pierpaolo Mastrolia, Tobias Scherdin. 2024-11-11. Gluing via Intersection Theory. https://arxiv.org/abs/2411.07330

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