<p>We study the correlators of bulk and defect half-BPS operators in <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_25847_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N} \)</EquationSource> </InlineEquation> = 4 Super Yang-Mills theory with a Maldacena-Wilson line defect, focusing on the case involving one bulk and two defect local operators. We analyze the non-perturbative constraints on these correlators, which include a topological sector, pinching and splitting limits: and we compute a variety of bulk-defect-defect correlators up to next-to-leading order at weak coupling, observing that transcendental terms cancel. Additionally, we study the two leading terms in the strong-coupling regime, and present partial results for the next-to-next-to-leading order.</p>

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Perturbative bootstrap of the Wilson-line defect CFT: Bulk-defect-defect correlators

  • Daniele Artico,
  • Julien Barrat,
  • Yingxuan Xu

摘要

We study the correlators of bulk and defect half-BPS operators in N \( \mathcal{N} \) = 4 Super Yang-Mills theory with a Maldacena-Wilson line defect, focusing on the case involving one bulk and two defect local operators. We analyze the non-perturbative constraints on these correlators, which include a topological sector, pinching and splitting limits: and we compute a variety of bulk-defect-defect correlators up to next-to-leading order at weak coupling, observing that transcendental terms cancel. Additionally, we study the two leading terms in the strong-coupling regime, and present partial results for the next-to-next-to-leading order.