Lining up a Positive Semi-Definite Six-Point Bootstrap
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866907945996910592 |
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| author | Antunes, António Harris, Sebastian Kaviraj, Apratim Schomerus, Volker |
| author_facet | Antunes, António Harris, Sebastian Kaviraj, Apratim Schomerus, Volker |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_11660 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Lining up a Positive Semi-Definite Six-Point Bootstrap Antunes, António Harris, Sebastian Kaviraj, Apratim Schomerus, Volker High Energy Physics - Theory 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. |
| title | Lining up a Positive Semi-Definite Six-Point Bootstrap |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2312.11660 |