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Kaluza-Klein Holography

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arxiv hep-th/0603016 v2 pith:B5Y4MP4J submitted 2006-03-02 hep-th

Kostas Skenderis , Marika Taylor This is my paper · ORCID
classification hep-th
keywords gaugedualfieldsoperatorsapplicationcomputefieldfirst
verification ladder T0 review T1 audit T2 compute T3 formal

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We construct a holographic map between asymptotically AdS_5 x S^5 solutions of 10d supergravity and vacuum expectation values of gauge invariant operators of the dual QFT. The ingredients that enter in the construction are (i) gauge invariant variables so that the KK reduction is independent of any choice of gauge fixing; (ii) the non-linear KK reduction map from 10 to 5 dimensions (constructed perturbatively in the number of fields); (iii) application of holographic renormalization. A non-trivial role in the last step is played by extremal couplings. This map allows one to reliably compute vevs of operators dual to any KK fields. As an application we consider a Coulomb branch solution and compute the first two non-trivial vevs, involving operators of dimension 2 and 4, and reproduce the field theory result, in agreement with non-renormalization theorems. This constitutes the first quantitative test of the gravity/gauge theory duality away from the conformal point involving a vev of an operator dual to a KK field (which is not one of the gauged supergravity fields).

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Cited by 6 Pith papers

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

  1. Holographic two-point functions of heavy operators revisited

    hep-th 2026-03 unverdicted novelty 7.0 of 10

    Holographic two-point functions of heavy operators are reproduced by adding boundary terms to the D3-brane action and by the Gibbons-Hawking-York term in LLM backgrounds, but only in coordinate dependence and without ...

  2. Holography of quarter-BPS AdS bubbles

    hep-th 2025-12 conditional novelty 7.0 of 10

    The CFT state dual to quarter-BPS AdS bubbles is determined to quadratic order, explicitly containing the lightest quarter-BPS operator O1/4 with its subleading 1/N mixing.

  3. Homotopy transfer for massive Kaluza-Klein modes

    hep-th 2025-12 unverdicted novelty 7.0 of 10

    An algorithm based on homotopy transfer in L∞ algebras produces gauge-invariant fields for massive Kaluza-Klein modes that remain covariant under unbroken zero-mode gauge transformations.

  4. (Un)solvable Matrix Models for BPS Correlators

    hep-th 2025-08 unverdicted novelty 6.0 of 10

    Proposes complex matrix models for BPS correlators in N=4 SYM, relating eigenvalue distributions to LLM droplet shapes and enabling computations of one-point functions and three-point correlators via reductions to kno...

  5. Critical Lin-Lunin-Maldacena geometries

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Near a cusp in the LLM droplet, the geometry acquires a universal ISO(1,3)×SO(5) symmetric form with a naked singularity that traps both massless and massive particles, admitting analytic massless trajectories and hin...

  6. Wilson loops on the Coulomb branch of $N=4$ super-Yang-Mills

    hep-th 2025-12 unverdicted novelty 5.0 of 10

    Holographic minimal-surface calculation maps the Gross-Ooguri phase transition for circular Wilson loops on the Coulomb branch and indicates tree-level exactness for the straight line.

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