Princeton University High Energy Theory Seminar

Abstract: Recently, a qualitatively new class of rigorous bounds on CFT data was shown to be numerically computable from the crossing equations of six-point functions. However, this six-point bootstrap requires solving non-standard optimization problems involving infinite-dimensional matrices, which has limited its applicability and scalability in early implementations. In this talk, these challenges are overcome by exploiting the sparsity structure of the problem. The result is a reformulation into standard optimization problems already familiar in the conformal bootstrap and efficiently solvable with existing numerical tools. This insight makes the new bounds practically accessible. As an illustration, novel non-perturbative bounds whose extremal correlators interpolate between the six-point functions of the generalized free fermion and boson are discussed. These are compared with perturbative deformations of the massive free boson in AdS2.