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Notes on Multi-Trace Operators and Holographic Renormalization Group

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arxiv hep-th/0202055 v3 pith:4DXOO4RF submitted 2002-02-08 hep-th

E.T.Akhmedov (ITEP) This is my paper · ORCID
classification hep-th
keywords grouphamiltonianholographicoperatorsrenormalizationbundlecanonicalclassical
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abstract

It is shown that the Holographic Renormalization Group can be formulated universally within Quantum Field Theory as (the quantization of) the Hamiltonian flow on the cotangent bundle to the space of gauge-invariant single-trace operators supplied with the canonical symplectic structure. The classical Hamiltonian dynamics is recovered in the large $N$ limit.

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Cited by 2 Pith papers

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

  1. $SO(1, d + 1)$ symmetry of the Exact RG equation

    hep-th 2026-01 conditional novelty 6.0 of 10

    The ERG evolution operator is SO(1,d+1)-invariant for any admissible cutoff, with cutoff-dependent conformal generators that reduce to standard AdS isometries for the special AdS-mapping cutoff.

  2. Yang-Mills interaction from boundary vector model

    hep-th 2025-04 conditional novelty 6.0 of 10

    The ERG flow of the USp(2N) singlet sector of a free 3D U(2N) scalar theory yields a bulk AdS4 cubic action that is on-shell equivalent to Yang-Mills plus a field-strength-cubed term.

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