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Holographic description of quantum field theory

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arxiv 0912.5223 v2 pith:NCUQ62YB submitted 2009-12-28 hep-th cond-mat.str-el

classification hep-thcond-mat.str-el
keywords generalquantumtheoryd-dimensionaldimensionaldualfieldholographic
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We propose that general D-dimensional quantum field theories are dual to (D+1)-dimensional local quantum theories which in general include objects with spin two or higher. Using a general prescription, we construct a (D+1)-dimensional theory which is holographically dual to the D-dimensional O(N) vector model. From the holographic theory, the phase transition and critical properties of the model in dimensions D>2 are described.

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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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