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A Note on Multi-trace Deformations and AdS/CFT

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arxiv hep-th/0203168 v3 pith:JDMCXJWV submitted 2002-03-19 hep-th

classification hep-th
keywords boundaryanalysisaroundchangeclassicalconditionconditionsconstrained
verification ladder T0 review T1 audit T2 compute T3 formal
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We derive the general formula, at a finite cutoff, for the change in the boundary condition of a scalar field in AdS under a Multiple-trace deformation of the dual CFT. Our analysis suggests that fluctuations around the classical solution in AdS should not be constrained by boundary conditions.

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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. Work distribution and fluctuation theorem in AdS/CFT

    hep-th 2025-11 conditional novelty 6.0 of 10

    The work distribution of a two-point measurement in a holographic CFT is expressed as a Schwinger-Keldysh bulk path integral, giving a bulk Tasaki-Crooks fluctuation theorem that is verified for a scalar probe on BTZ.

  2. Higher-form (Quasi)Hydrodynamics from Holography: Deformations and Dualities

    hep-th 2025-09 conditional novelty 6.0 of 10

    Massless and massive higher-form gauge fields in anti-de Sitter space yield a full low-energy map of diffusive, relaxing, and emergent-photon modes governed by double-trace deformations.

  3. Heat and work in black hole thermodynamics via holography

    hep-th 2024-12 conditional novelty 6.0 of 10

    The paper derives first and second laws for composite black holes coupled through the boundary, with heat and work defined from boundary sources and bath energy flow.

  4. Approximate higher-form symmetries and dualities of massive p-forms in the holographic bulk

    hep-th 2026-05 unverdicted novelty 5.0 of 10

    Develops a holographic realization of approximate higher-form symmetries via massive antisymmetric tensor fields and derives dualities between boundary theories from bulk Hodge dualities, including constraints on curr...

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