Lining up a Positive Semi-Definite Six-Point Bootstrap
High Energy Physics - Theory
2024-06-19 v2
Abstract
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.
Cite
@article{arxiv.2312.11660,
title = {Lining up a Positive Semi-Definite Six-Point Bootstrap},
author = {António Antunes and Sebastian Harris and Apratim Kaviraj and Volker Schomerus},
journal= {arXiv preprint arXiv:2312.11660},
year = {2024}
}
Comments
45 pages + appendices, 13 figures; v2: added references, minor clarifications and details on numerical implementation, matches JHEP version