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Lining up a Positive Semi-Definite Six-Point Bootstrap

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arxiv 2312.11660 v2 pith:OZFTC6M3 submitted 2023-12-18 hep-th

António Antunes , Sebastian Harris , Apratim Kaviraj , Volker Schomerus This is my paper
classification hep-th
keywords numericalsemi-definitebootstrappositiveproblemsix-pointalternativeamenable
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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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Cited by 1 Pith paper

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  1. Thermal $n$-Point Conformal Blocks in Four Dimensions from Oscillator Representations

    hep-th 2025-07 conditional novelty 6.0 of 10

    New analytic formulas for four-dimensional thermal n-point conformal blocks are derived from oscillator representations, with a correct low-temperature limit to vacuum comb-channel blocks.

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