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arXiv · hep-th/0210114

AdS Dual of the Critical O(N) Vector Model

I. R. Klebanov·A. M. Polyakov
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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 $(ϕ^a ϕ^a)^2$ interaction is dual, in the large $N$ limit, to the minimal bosonic theory in $AdS_4$ containing massless gauge fields of even spin.

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I. R. Klebanov, A. M. Polyakov. 2002-11-13. AdS Dual of the Critical O(N) Vector Model. https://doi.org/10.1016/s0370-2693(02)02980-5

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