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Revisiting Extremal Couplings in AdS/CFT

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arxiv 2409.15410 v3 pith:YR6HDLC4 submitted 2024-09-23 hep-th

Alejandra Castro , Pedro J. Martinez This is my paper
classification hep-th
keywords bulkdeltaextremaloperatorscouplingcouplingscubicdual
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We consider an effective theory of massive scalar fields on a fixed AdS$_{d+1}$ background with a cubic extremal interaction among them. A bulk coupling is called extremal whenever the corresponding conformal dimension of any of the dual CFT$_d$ operators matches the sum of all the others. For cubic bulk couplings, this is $\Delta_i+\Delta_j=\Delta_k$. These bulk interactions are often disregarded in the literature since they do not appear in traditional models of AdS/CFT. Turning them on yields a divergent vertex in the dual CFT, and here we show that these divergences can be regulated. Once renormalized, we demonstrate that this coupling introduces non-trivial mixing between single- and double-trace operators, and we compute the anomalous dimensions of the corrected operators to leading order in perturbation theory.

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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. Extremal couplings, graviton exchange, and gluon scattering in AdS

    hep-th 2025-05 conditional novelty 8.0 of 10

    Extremal bulk couplings between graviton and gluon modes are computed in F-theory AdS/CFT, yielding the graviton exchange term and a complete 1/N² correlator for the D4 theory.

  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. The Effects of Near-AdS$_2$ Backreaction on Matter Fields

    hep-th 2025-09 conditional novelty 7.0 of 10

    Backreaction of near-AdS2 geometry gives a temperature correction to scalar correlators that for massive fields needs metric backreaction, matches BTZ, and corrects the standard prescription.

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