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arXiv · 2312.11660

Lining up a Positive Semi-Definite Six-Point Bootstrap

António Antunes·Sebastian Harris·Apratim Kaviraj·Volker Schomerus
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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.

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António Antunes, Sebastian Harris, Apratim Kaviraj, Volker Schomerus. 2023-12-18. Lining up a Positive Semi-Definite Six-Point Bootstrap. https://doi.org/10.1007/jhep06(2024)058

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