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 $Ad{S}_{d+1}$ 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 $({\varphi }^a{\varphi }^a{)}^2$ interaction is dual, in the large $N$ limit, to the minimal bosonic theory in $Ad{S}_4$ containing massless gauge fields of even spin.

13 pages, LaTeX; v4: more references added, to appear in Physics Letters B