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| Main Authors: | , |
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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2503.16345 |
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| _version_ | 1866912757059682304 |
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| author | Dujava, Jonáš Vaško, Petr |
| author_facet | Dujava, Jonáš Vaško, Petr |
| contents | We determine the scaling dimensions in the boundary $\mathsf{CFT}_{d}$ corresponding to the $\mathsf{O}(N)$ model in $\mathsf{EAdS}_{d+1}$. The $\mathsf{CFT}$ data accessible to the 4-point boundary correlator of fundamental fields are extracted in $d=2$ and $d=4$, at a finite coupling, and to the leading nontrivial order in the $1/N$ expansion. We focus on the non-singlet sectors, namely the anti-symmetric and symmetric traceless irreducible representations of the $\mathsf{O}(N)$ group, extending the previous results that considered only the singlet sector. Studying the non-singlet sector requires an understanding of the crossed-channel diagram contributions to the $s$-channel conformal block decomposition. Building upon an existing computation, we present general formulas in $d=2$ and $d=4$ for the contribution of a $t$-channel conformal block to the anomalous dimensions of $s$-channel double-twist operators, derived for external scalar operators with equal scaling dimensions. Up to some technical details, this eventually leads to the complete picture of $1/N$ corrections to the $\mathsf{CFT}$ data in the interacting theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_16345 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finite-coupling spectrum of O(N) model in AdS Dujava, Jonáš Vaško, Petr High Energy Physics - Theory We determine the scaling dimensions in the boundary $\mathsf{CFT}_{d}$ corresponding to the $\mathsf{O}(N)$ model in $\mathsf{EAdS}_{d+1}$. The $\mathsf{CFT}$ data accessible to the 4-point boundary correlator of fundamental fields are extracted in $d=2$ and $d=4$, at a finite coupling, and to the leading nontrivial order in the $1/N$ expansion. We focus on the non-singlet sectors, namely the anti-symmetric and symmetric traceless irreducible representations of the $\mathsf{O}(N)$ group, extending the previous results that considered only the singlet sector. Studying the non-singlet sector requires an understanding of the crossed-channel diagram contributions to the $s$-channel conformal block decomposition. Building upon an existing computation, we present general formulas in $d=2$ and $d=4$ for the contribution of a $t$-channel conformal block to the anomalous dimensions of $s$-channel double-twist operators, derived for external scalar operators with equal scaling dimensions. Up to some technical details, this eventually leads to the complete picture of $1/N$ corrections to the $\mathsf{CFT}$ data in the interacting theory. |
| title | Finite-coupling spectrum of O(N) model in AdS |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2503.16345 |