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<p>We investigate loop corrections to the four-point function of identical scalar operators in a four-dimensional large <i>N</i> conformal field theory, holographically dual to AdS with a quartic interaction. We focus on the universal part of the correlator that, at any order in 1/<i>N</i>, is completely determined by tree-level data. We show how this contribution controls the part of the anomalous dimensions of double-trace operators, that exhibits a characteristic log <i>ℓ</i> dependence at large spin <i>ℓ</i>. We resum these effects to all orders in 1/<i>N</i> and show that they admit a natural effective description in AdS. Finally, by reformulating the problem in Mellin space, we demonstrate that the same contribution corresponds to consecutive unitarity cuts of bubble diagrams in the flat-space limit.</p>

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Bubbles in AdS

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年3月25日

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  • Agnese Bissi,
  • Giulia Fardelli,
  • Mohammad Reza Khansari

摘要

We investigate loop corrections to the four-point function of identical scalar operators in a four-dimensional large N conformal field theory, holographically dual to AdS with a quartic interaction. We focus on the universal part of the correlator that, at any order in 1/N, is completely determined by tree-level data. We show how this contribution controls the part of the anomalous dimensions of double-trace operators, that exhibits a characteristic log ℓ dependence at large spin ℓ. We resum these effects to all orders in 1/N and show that they admit a natural effective description in AdS. Finally, by reformulating the problem in Mellin space, we demonstrate that the same contribution corresponds to consecutive unitarity cuts of bubble diagrams in the flat-space limit.