Higher loops in AdS: applications to boundary CFT
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909712024338432 |
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| author | Giombi, Simone Sun, Zimo |
| author_facet | Giombi, Simone Sun, Zimo |
| contents | The Euclidean Anti-de Sitter (AdS) space provides a natural framework for studying boundary conformal field theory (BCFT). We analyze the conformal boundary conditions of the critical O$(N)$ model in $d=4-ε$ dimensions using the $ε$-expansion, and extract some BCFT observables through higher-loop calculations in AdS. Specifically, in the so-called "ordinary" universality class, we determine the free energy to four-loop order and the one-point function of the lightest O$(N)$ singlet operator to three-loop order. In the symmetry breaking "normal" universality class, we derive the two-loop free energy and compute the leading correction to the one-point function of the lightest O($N$) vector. We apply Padé approximants to extract the corresponding conformal data in three dimensions. In particular, from a suitable dimensional continuation of the free energy in AdS, we obtain estimates for the boundary central charge of the BCFT in $d=3$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_14699 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Higher loops in AdS: applications to boundary CFT Giombi, Simone Sun, Zimo High Energy Physics - Theory The Euclidean Anti-de Sitter (AdS) space provides a natural framework for studying boundary conformal field theory (BCFT). We analyze the conformal boundary conditions of the critical O$(N)$ model in $d=4-ε$ dimensions using the $ε$-expansion, and extract some BCFT observables through higher-loop calculations in AdS. Specifically, in the so-called "ordinary" universality class, we determine the free energy to four-loop order and the one-point function of the lightest O$(N)$ singlet operator to three-loop order. In the symmetry breaking "normal" universality class, we derive the two-loop free energy and compute the leading correction to the one-point function of the lightest O($N$) vector. We apply Padé approximants to extract the corresponding conformal data in three dimensions. In particular, from a suitable dimensional continuation of the free energy in AdS, we obtain estimates for the boundary central charge of the BCFT in $d=3$. |
| title | Higher loops in AdS: applications to boundary CFT |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2506.14699 |