Bounding 3d CFT correlators

We consider the problem of bounding CFT correlators on Euclidean section. By reformulating question as an optimization problem, we construct functionals numerically which determine upper and lower bounds under several circumstances. A useful outcome our analysis is that gap maximization bootstrap can be reproduced by a easier problem. find 3d Ising spin correlator takes minimal possible allowed values Turning to for d > 2 there are gap-independent maximal correlators. Under certain conditions show maximizing given generalized free boson general kinematics. In explorations also uncover intriguing saturates gap, OPE value bounds. Finally comment relation between Polyakov bootstrap.