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Correlation Functions in Holographic RG Flows

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arxiv hep-th/0407071 v3 pith:FR2RLDZU submitted 2004-07-09 hep-th

Ioannis Papadimitriou , Kostas Skenderis This is my paper · ORCID
classification hep-th
keywords functionscorrelationholographicmethodads-slicedanalysiscomputationcounterterms
verification ladder T0 review T1 audit T2 compute T3 formal
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We discuss the computation of correlation functions in holographic RG flows. The method utilizes a recently developed Hamiltonian version of holographic renormalization and it is more efficient than previous methods. A significant simplification concerns the treatment of infinities: instead of performing a general analysis of counterterms, we develop a method where only the contribution of counterterms to any given correlator needs to be computed. For instance, the computation of renormalized 2-point functions requires only an analysis at the linearized level. We illustrate the method by discussing flat and AdS-sliced domain walls. In particular, we discuss correlation functions of the Janus solution, a recently discovered non-supersymmetric but stable AdS-sliced domain wall.

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Cited by 4 Pith papers

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

  1. Holographic Correlators of Boundary/Crosscap CFTs in Two Dimensions

    hep-th 2025-01 accept novelty 6.0 of 10

    Explicit bulk derivations yield two- and three-point stress tensor correlators in AdS3/BCFT2 and scalar and stress tensor correlators for XCFT2 on RP2, with tension independence and finite-cutoff deformations.

  2. Janus and RG-interfaces in minimal 3d gauged supergravity

    hep-th 2024-12 conditional novelty 6.0 of 10

    New numerical interface solutions in a minimal 3d supergravity model satisfy the proposed universal inequality between transmission and entanglement.

  3. Holographic reconstruction for defect CFTs from $\mathrm{AdS}_p \times S^q$ spacetimes

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Derives holographic one-point functions, stress tensor and Ward identities for defects in AdS5 and AdS6 from AdS2×S2, AdS2×S3 and AdS3×S2 backgrounds in Romans supergravity.

  4. More on thermal holographic RG flows in a 3D gauged supergravity

    hep-th 2024-12 conditional novelty 5.0 of 10

    In a 3D gauged supergravity, thermal holographic RG flows come in monotonic and non-monotonic classes, with a special analytic class where the metric is exactly BTZ and the scalar is hypergeometric.

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