AdS Dual of the Critical O(N) Vector Model

Details AdS Dual of the Critical O(N) Vector Model AdS Dual of the Critical O(N) Vector Model

2002-10-11

arxiv.org/abs/hep-th/0210114v4

Phys.Lett. B550 (2002) 213-219

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0370-2693(02)02980-5

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.

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