AdS dual of the critical O(N) vector model

I. R. Klebanov; A. M. Polyakov

doi:10.1016/S0370-2693(02)02980-5

AdS dual of the critical O(N) vector model

I. R. Klebanov
, A. M. Polyakov

Research output: Contribution to journal › Article › peer-review

786 Scopus citations

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 (Φ^aΦ^a)² interaction is dual, in the large N limit, to the minimal bosonic theory in AdS₄ containing massless gauge fields of even spin.

Original language	English (US)
Pages (from-to)	213-219
Number of pages	7
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	550
Issue number	3-4
DOIs	https://doi.org/10.1016/S0370-2693(02)02980-5
State	Published - Dec 19 2002

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/S0370-2693(02)02980-5

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title = "AdS dual of the critical O(N) vector model",

abstract = "We suggest a general relation between theories of infinite number of higher-spin massless gauge fields in AdSd+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 (ΦaΦa)2 interaction is dual, in the large N limit, to the minimal bosonic theory in AdS4 containing massless gauge fields of even spin.",

author = "Klebanov, \{I. R.\} and Polyakov, \{A. M.\}",

note = "Funding Information: We thank L. Rastelli and E. Witten for useful discussions. I.R.K. is also grateful to the Institute for Advanced Study for hospitality. This material is based upon work supported by the National Science Foundation Grant No. PHY-9802484. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation. ",

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doi = "10.1016/S0370-2693(02)02980-5",

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T1 - AdS dual of the critical O(N) vector model

AU - Klebanov, I. R.

AU - Polyakov, A. M.

N1 - Funding Information: We thank L. Rastelli and E. Witten for useful discussions. I.R.K. is also grateful to the Institute for Advanced Study for hospitality. This material is based upon work supported by the National Science Foundation Grant No. PHY-9802484. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.

PY - 2002/12/19

Y1 - 2002/12/19

N2 - We suggest a general relation between theories of infinite number of higher-spin massless gauge fields in AdSd+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 (ΦaΦa)2 interaction is dual, in the large N limit, to the minimal bosonic theory in AdS4 containing massless gauge fields of even spin.

AB - We suggest a general relation between theories of infinite number of higher-spin massless gauge fields in AdSd+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 (ΦaΦa)2 interaction is dual, in the large N limit, to the minimal bosonic theory in AdS4 containing massless gauge fields of even spin.

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 3-4

ER -

AdS dual of the critical O(N) vector model

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