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| Main Authors: | , , |
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| Format: | Preprint |
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2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.28933 |
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| _version_ | 1866911725423427584 |
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| author | Sun, Xinyu Jian, Shao-Kai Yao, Hong |
| author_facet | Sun, Xinyu Jian, Shao-Kai Yao, Hong |
| contents | We investigate $O(N)$ boundary conformal field theories (BCFTs) with boundary interactions in $d=4-ε$ and $d=3-ε$ employing the analytic bootstrap. By deriving universal constraints on conformal data, we show that infinitely many operator expansions can be expressed in terms of a finite set of inputs. Complementing the analytic bootstrap with a perturbative renormalization-group analysis, we identify totally new boundary fixed points in $d=4-ε$, including non-unitary ones, generated by a boundary cubic coupling, and compute their conformal data to leading order. Moreover, we leverage our solution in $d=3-ε$ to extract, for the first time, the boundary conformal data for the tricritical $O(N)$ model. Altogether, our approach provides a unified prescription for BCFTs with interacting boundaries and streamlines the determination of bulk and boundary operator expansions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_28933 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Analytic Bootstrap for $O(N)$ Boundary Conformal Field Theories with Interacting Boundaries Sun, Xinyu Jian, Shao-Kai Yao, Hong High Energy Physics - Theory Statistical Mechanics We investigate $O(N)$ boundary conformal field theories (BCFTs) with boundary interactions in $d=4-ε$ and $d=3-ε$ employing the analytic bootstrap. By deriving universal constraints on conformal data, we show that infinitely many operator expansions can be expressed in terms of a finite set of inputs. Complementing the analytic bootstrap with a perturbative renormalization-group analysis, we identify totally new boundary fixed points in $d=4-ε$, including non-unitary ones, generated by a boundary cubic coupling, and compute their conformal data to leading order. Moreover, we leverage our solution in $d=3-ε$ to extract, for the first time, the boundary conformal data for the tricritical $O(N)$ model. Altogether, our approach provides a unified prescription for BCFTs with interacting boundaries and streamlines the determination of bulk and boundary operator expansions. |
| title | Analytic Bootstrap for $O(N)$ Boundary Conformal Field Theories with Interacting Boundaries |
| topic | High Energy Physics - Theory Statistical Mechanics |
| url | https://arxiv.org/abs/2605.28933 |