Abstract
In this note, we explore the correspondence between four-dimensional flat space S-matrix and two-dimensional CFT proposed by Pasterski et al. We demonstrate that the factorisation singularities of an n-point cubic diagram reproduces the AdS Witten diagrams if mass conservation is imposed at each vertex. Such configuration arises naturally if we consider the 4-dimensional S-matrix as a compactified massless 5-dimensional theory. This identification allows us to rewrite the massless S-matrix in the CHY formulation, where the factorisation singularities are re-interpreted as factorisation limits of a Riemann sphere. In this light, the map is recast into a form of 2d/2d correspondence.
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Cardona, C., Huang, Yt. S-matrix singularities and CFT correlation functions. J. High Energ. Phys. 2017, 133 (2017). https://doi.org/10.1007/JHEP08(2017)133
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DOI: https://doi.org/10.1007/JHEP08(2017)133