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Renormalization group flows in AdS and the bootstrap program

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arxiv 2305.11209 v2 pith:C4YOYPJF submitted 2023-05-18 hep-th

classification hep-th
keywords functionbootstrapboundarybulkgroupoperatorsrenormalizationstress
verification ladder T0 review T1 audit T2 compute T3 formal
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We study correlation functions of the bulk stress tensor and boundary operators in Quantum Field Theories (QFT) in Anti-de Sitter (AdS) space. In particular, we derive new sum rules from the two-point function of the stress tensor and its three-point function with two boundary operators. In AdS2, this leads to a bootstrap setup that involves the central charge of the UV limit of the bulk QFT and may allow us to follow a Renormalization Group (RG) flow non-perturbatively by continuously varying the AdS radius. Along the way, we establish the convergence properties of the newly discovered local block decomposition of the three-point function.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. QFT as a set of ODEs: higher dimensions

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    The authors generalize the AdS₂ flow equations for QFT data to AdS₃ and AdS₄, add crossing-based closure and Padé-accelerated sums, and verify them in free theories.

  2. Neumann scalars in AdS: partition functions and phases

    hep-th 2026-07 conditional novelty 6.0 of 10

    Neumann scalars in AdS admit one-loop partition functions obtained by contour deformation from the Dirichlet result; the stricter unitarity bound then yields qualitatively different phase diagrams that are corroborate...

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