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Conformal Field Theory Correlators from Classical Scalar Field Theory on $AdS_{d+1}$

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arxiv hep-th/9804035 v4 pith:BFD55WIN submitted 1998-04-04 hep-th

classification hep-th
keywords fieldtheoryscalarclassicalconformalactioncalculatecorrelators
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We use the correspondence between scalar field theory on $AdS_{d+1}$ and a conformal field theory on $R^d$ to calculate the 3- and 4-point functions of the latter. The classical scalar field theory action is evaluated at tree level.

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Cited by 3 Pith papers

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

  1. Cosmological Collider in the Grassmannian

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    The four-point wavefunction coefficient for conformally coupled scalars exchanging a massive spinning particle is written in closed form as a hypergeometric function of the s-channel Mandelstam variable times a Legend...

  2. Flat Holography & Holographic Renormalization: Scalar Field

    hep-th 2025-12 conditional novelty 7.0 of 10

    A Hamilton-Jacobi holographic renormalization scheme for scalars in Minkowski space yields a GKPW-style flat holography dictionary: source = scattering data, vev = renormalized momentum, with correlators matching the ...

  3. dS/CFT Correspondence from a Defect Operator

    hep-th 2025-12 conditional novelty 5.0 of 10

    A PT-defect-twisted inner product reproduces the de Sitter scalar two-point function, and PT symmetry is necessarily broken in CFT_2 with an imaginary central charge.

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