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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.05750 |
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| _version_ | 1866911631800270848 |
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| author | Xiao, Weichen Sachs, Ivo |
| author_facet | Xiao, Weichen Sachs, Ivo |
| contents | We study the correlation functions of a conformally coupled $ϕ^4$-interacting theory in AdS$_3$ and its dual CFT$_2$. The one-loop diagram is not expressible in terms of known transcendental functions, but is shown to be expressible as an infinite sum of previously well-studied tree-level diagrams, and we compute this sum using several number-theoretic conjectures. This enables us to extract recursively, the analytic expressions of anomalous dimensions of all dual double-trace operators. In the $s$-channel various consistency checks were performed against established bootstrap method, while our results in the $t$- and $u$-channel are not available in any previous literature to our knowledge. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_05750 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The 2-Dimensional Dual of $ϕ^4$ in AdS$_3$ Xiao, Weichen Sachs, Ivo High Energy Physics - Theory We study the correlation functions of a conformally coupled $ϕ^4$-interacting theory in AdS$_3$ and its dual CFT$_2$. The one-loop diagram is not expressible in terms of known transcendental functions, but is shown to be expressible as an infinite sum of previously well-studied tree-level diagrams, and we compute this sum using several number-theoretic conjectures. This enables us to extract recursively, the analytic expressions of anomalous dimensions of all dual double-trace operators. In the $s$-channel various consistency checks were performed against established bootstrap method, while our results in the $t$- and $u$-channel are not available in any previous literature to our knowledge. |
| title | The 2-Dimensional Dual of $ϕ^4$ in AdS$_3$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2602.05750 |