pith. sign in

arxiv: hep-th/0210114 · v4 · submitted 2002-10-11 · ✦ hep-th

AdS Dual of the Critical O(N) Vector Model

classification ✦ hep-th
keywords fieldscontainingcriticaldualgaugelargemasslessmodel
0
0 comments X
read the original abstract

We suggest a general relation between theories of infinite number of higher-spin massless gauge fields in $AdS_{d+1}$ and large $N$ conformal theories in $d$ dimensions containing $N$-component vector fields. In particular, we propose that the singlet sector of the well-known critical 3-d O(N) model with the $(\phi^a \phi^a)^2$ interaction is dual, in the large $N$ limit, to the minimal bosonic theory in $AdS_4$ containing massless gauge fields of even spin.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 13 Pith papers

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

  1. Worldline Higher Spin Gravity

    hep-th 2026-05 unverdicted novelty 8.0

    A worldline path integral model for higher-spin gravity in AdS4 is constructed using twistor actions and double-line vertices, reproducing boundary correlators of free boson and fermion vector models.

  2. Universal structure in the interactions of massless fields on the lightcone

    hep-th 2026-06 unverdicted novelty 7.0

    Cubic vertices of arbitrary-spin massless fields in lightcone gauge are expressed as direct generalizations of abelian vertices built from linearized curvatures, yielding consistency of self-dual theories in (A)dS wit...

  3. Higher-Spin Gravity in Two Dimensions with Vanishing Cosmological Constant

    hep-th 2026-04 unverdicted novelty 7.0

    Two-dimensional higher-spin gravity with vanishing cosmological constant contains an infinite collection of scalar fields with continuously increasing masses arising from the twisted coadjoint representation of an inf...

  4. dS$^4$ Metamorphosis

    hep-th 2026-02 conditional novelty 7.0

    Higher spin gravity path integral on S^4 glues to an Sp(N) or superconformal S^3 boundary theory, giving leading contribution 2^N with one-loop cancellations.

  5. Metric-like Cubic Vertices for Massless Bosonic Higher-Spin Fields in AdS$_3$

    hep-th 2026-06 unverdicted novelty 6.0

    Derives metric-like cubic vertices for massless bosonic higher-spin fields in AdS3 from flat-space ones via gauge invariance.

  6. The state/defect correspondence

    hep-th 2026-06 unverdicted novelty 6.0

    Establishes a one-to-one correspondence between states and p-dimensional defects in higher-form Maxwell theories via an extended Kac-Moody algebra generated by conserved charges from mixed anomalies, mapping dressed W...

  7. Thermal effective action for the $O(N)$ vector model

    hep-th 2026-06 unverdicted novelty 6.0

    Leading coefficients of the thermal effective action for the large-N critical O(N) vector model in 3D with twist are computed via twisted partition function on S2 and path-integral methods, yielding consistent results.

  8. Self-dual holography: four-point AdS/CFT correlators in higher-spin gravity

    hep-th 2026-05 unverdicted novelty 6.0

    Develops holographic dictionary for self-dual higher-spin theories and computes four-point AdS/CFT correlators in a higher-spin extension of self-dual Yang-Mills.

  9. Emergent $\text{AdS}_{d+1}$ Geometry from Functional Renormalization Group in the Massless Critical Limit

    hep-th 2026-05 unverdicted novelty 6.0

    Functional renormalization group applied to the O(N) vector model generates an emergent regular AdS_{d+1} geometry whose near-horizon thermodynamics reproduces the first law and Bekenstein-Hawking area law with temper...

  10. Amplitudes in self-dual (higher-spin) theories

    hep-th 2026-04 unverdicted novelty 6.0

    All self-dual theories with or without higher-spin fields possess nontrivial tree-level amplitudes in Kleinian or complex Minkowski kinematics, completing the celestial analogue of the higher-spin duality.

  11. Amplitudes and partial wave unitarity bounds

    hep-ph 2025-04 unverdicted novelty 6.0

    Develops spinor-helicity formalism generalizing partial wave unitarity bounds for multi-particle scattering and spin-2 or higher-spin theories.

  12. Topological Fields in $4d$ Higher Spin Theory

    hep-th 2026-03 unverdicted novelty 5.0

    Topological fields in 4d higher spin theory have a finite number of degrees of freedom and admit a gauge-invariant cubic action for interactions with physical higher spin fields.

  13. Notes on Tensor Models and Tensor Field Theories

    hep-th 2019-07 unverdicted novelty 2.0

    Lecture notes introducing the 1/N expansion and melonic limit of tensor models, which yield new conformal field theories.