Lining up a Positive Semi-Definite Six-Point Bootstrap
| Autor: | Antunes, António, Harris, Sebastian, Kaviraj, Apratim, Schomerus, Volker |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | JHEP06(2024)058 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP06(2024)058 |
| Popis: | 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. Comment: 45 pages + appendices, 13 figures; v2: added references, minor clarifications and details on numerical implementation, matches JHEP version |
| Databáze: | arXiv |
| Externí odkaz: |
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