Towards Bulk Locality: A Systematic Construction of Contact Interactions from Chord Diagrams
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866914616088461312 |
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| author | Dai, Hao Wang, Yi-Li Chen, Yu-Ge Qin, Li-Guo Tian, Li-Jun |
| author_facet | Dai, Hao Wang, Yi-Li Chen, Yu-Ge Qin, Li-Guo Tian, Li-Jun |
| contents | Chord diagrams encode boundary correlators in the double-scaled holographic Sachdev-Ye-Kitaev model, but currently capture only a limited class of bulk interactions that yield pure power-law correlators. In this article, we investigate a general construction based on Fock-space flux models with arbitrary periodic lattice size, clarifies how lattice dimensions control probe configurations and bulk contact vertices. Developing a systematic matching scheme and using the chord path integral formalism, we compute three- to six-point contact correlators and reproduce a broad class of AdS$_2$ scalar contact Witten diagrams, including those with logarithmic singularities. The results demonstrate that chord diagrams, in full generality, provide a microscopic description of bulk contact interactions and thereby establish a principled framework for reconstructing bulk locality from boundary data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_30970 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Towards Bulk Locality: A Systematic Construction of Contact Interactions from Chord Diagrams Dai, Hao Wang, Yi-Li Chen, Yu-Ge Qin, Li-Guo Tian, Li-Jun High Energy Physics - Theory Chord diagrams encode boundary correlators in the double-scaled holographic Sachdev-Ye-Kitaev model, but currently capture only a limited class of bulk interactions that yield pure power-law correlators. In this article, we investigate a general construction based on Fock-space flux models with arbitrary periodic lattice size, clarifies how lattice dimensions control probe configurations and bulk contact vertices. Developing a systematic matching scheme and using the chord path integral formalism, we compute three- to six-point contact correlators and reproduce a broad class of AdS$_2$ scalar contact Witten diagrams, including those with logarithmic singularities. The results demonstrate that chord diagrams, in full generality, provide a microscopic description of bulk contact interactions and thereby establish a principled framework for reconstructing bulk locality from boundary data. |
| title | Towards Bulk Locality: A Systematic Construction of Contact Interactions from Chord Diagrams |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2605.30970 |