Year: 2017
Type: article
Abstract: We consider a class of planar tree-level four-point functions in $$ \mathcal{N} $$ = 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.
Source: Journal of High Energy Physics
Authors: Burkhard Eden, Alessandro Sfondrini
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Funders: National Science Foundation, National Centres of Competence in Research SwissMAP, European Commission, Deutsche Forschungsgemeinschaft, Abdus Salam International Centre for Theoretical Physics, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, Eidgenössische Technische Hochschule Zürich, ICTP South American Institute for Fundamental Research
OpenAlex ID: W2553076757