Lining up a positive semi-definite six-point bootstrap
António Antunes, Sebastian Harris, Apratim Kaviraj, Volker Schomerus
Abstract
A bstract In this work, we initiate a positive semi-definite numerical bootstrap program for multi-point correlators. Considering six-point functions of operators on a line, we reformulate the crossing symmetry equation for a pair of comb-channel expansions as a semi-definite programming problem. We provide two alternative formulations of this problem. At least one of them turns out to be amenable to numerical implementation. Through a combination of analytical and numerical techniques, we obtain rigorous bounds on CFT data in the triple-twist channel for several examples.
Topics & Concepts
Positive-definite matrixMathematicsPoint (geometry)Applied mathematicsNumerical analysisSymmetry (geometry)TwistLine (geometry)Mathematical analysisPhysicsEigenvalues and eigenvectorsGeometryQuantum mechanicsMatrix Theory and AlgorithmsNumerical methods for differential equationsTensor decomposition and applications