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<p>We determine the scaling dimensions in the boundary CFT<sub><i>d</i></sub> corresponding to the O(<i>N</i>) model in EAdS<sub><i>d</i>+1</sub>. The CFT data accessible to the 4-point boundary correlator of fundamental fields are extracted in <i>d</i> = 2 and <i>d</i> = 4, at a finite coupling, and to the leading nontrivial order in the 1<i>/N</i> expansion. We focus on the non-singlet sectors, namely the anti-symmetric and symmetric traceless irreducible representations of the O(<i>N</i>) 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 <i>s</i>-channel conformal block decomposition. Building upon an existing computation, we present general formulas in <i>d</i> = 2 and <i>d</i> = 4 for the contribution of a <i>t</i>-channel conformal block to the anomalous dimensions of <i>s</i>-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<i>/N</i> corrections to the CFT data in the interacting theory.</p>

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Finite-coupling spectrum of O(N) model in AdS

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  • 发表日期：

    2025年12月3日

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  • Jonáš Dujava,
  • Petr Vaško

摘要

We determine the scaling dimensions in the boundary CFTd corresponding to the O(N) model in EAdSd+1. The 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 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 CFT data in the interacting theory.