Evaluating the AdS dual of the criticalO(N) vector model

2003/02/28 by Anastasios C. Petkou, A. C. Petkou · 5 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary (topology) #Boundary value problem #Cosmology and Gravitation Theories #Coupling (piping) #Dual (grammatical number) #Duality (order theory) #Geometry #Legendre transformation #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics #Scalar (mathematics) #Theoretical physics #Thermodynamics #hep-th

paper · pdf · doi:10.1088/1126-6708/2003/03/049

published as JHEP 0303 (2003) 049 · 17 pages, 1 figure, v2 references added, JHEP version

openalex publication_date 2003/03/26 · arxiv created 2003/04/03 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We argue that the AdS dual of the three dimensional critical O(N) vector model can be evaluated using the Legendre transform that relates the generating functionals of the free UV and the interacting IR fixed points of the boundary theory. As an example, we use our proposal to evaluate the minimal bulk action of the scalar field that it is dual to the spin-zero ``current'' of the O(N) vector model. We find that the cubic bulk self interaction coupling vanishes. We briefly discuss the implications of our results for higher spin theories and comment on the bulk-boundary duality for subleading N.

Citations

• Notes On Higher Spin Symmetries
• Multi-Trace Operators, Boundary Conditions, And AdS/CFT Correspondence
• On the proposed AdS dual of the critical O(N) sigma model for any dimension 2<d<4
• Massless higher spins and holography
• 3D interacting CFTs and generalized Higgs phenomenon in higher spin theories on AdS
• A universal result on central charges in the presence of double-trace deformations
• CT and CJ up to next-to-leading order in in the conformally invariant O(N) vector model for 2 < d < 4
• The large N limit of superconformal field theories and supergravity

Cited by

• Homotopy properties and lower-order vertices in higher-spin equations
• Spinning Witten diagrams
• Conformal correlators in the critical O(N) vector model
• Vector model in various dimensions
• Higher-Spin Correlators in dS