AdS Dual of the Critical O(N) Vector Model

2002/10/31 by I. R. Klebanov, A. M. Polyakov · 4 citations
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1016/s0370-2693(02)02980-5

published as Phys.Lett. B550 (2002) 213-219 · 13 pages, LaTeX; v4: more references added, to appear in Physics Letters B

arxiv created 2002/11/13 · arxiv updated 2009/11/30

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 AdS₄ containing massless gauge fields of even spin.

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• Wilson lines with endpoints in 3d CFT
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• Bosonic Fortuity in Vector Models
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