Bootstrapping the Simplest Correlator in Planar N=4 Supersymmetric Yang-Mills Theory to All Loops.

We present the full form of a four-point correlation function of large BPS operators in planar N=4 supersymmetric Yang-Mills theory to any loop order. We do this by following a bootstrap philosophy based on three simple axioms pertaining to (i) the space of functions arising at each loop order, (ii) the behavior in the operator product expansion (OPE) in a double-trace dominated channel and (iii) the behavior under a double null limit. We discuss how these bootstrap axioms are in turn strongly motivated by empirical observations up to nine loops unveiled through integrability methods in our previous work [F. Coronado, J. High Energy Phys. 01 (2019) 056.JHEPFG1029-847910.1007/JHEP01(2019)056] on this simplest correlation function.