Holography and higher‐spin theories | Zendy

Petkou T. | Zendy

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Holography and higher‐spin theories

Author(s) -

Petkou T.

Publication year - 2005

Publication title -

fortschritte der physik

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.469

H-Index - 71

eISSN - 1521-3978

pISSN - 0015-8208

DOI - 10.1002/prop.200410245

Subject(s) - dual polyhedron , holography , trace (psycholinguistics) , duality (order theory) , physics , anti de sitter space , gauge theory , boundary (topology) , spin (aerodynamics) , conformal map , theoretical physics , field (mathematics) , boundary conformal field theory , mathematical physics , boundary value problem , quantum mechanics , mathematics , geometry , pure mathematics , philosophy , mathematical analysis , neumann boundary condition , linguistics , robin boundary condition , thermodynamics

I review recent work on the holographic relation between higher‐spin theories in Anti‐de Sitter spaces and conformal field theories. I present the main results of studies concerning the higher‐spin holographic dual of the three‐dimensional O ( N ) vector model. I discuss the special role played by certain double‐trace deformations in Conformal Field Theories that have higher‐spin holographic duals. Moreover, I show that duality transformations in a U (1) gauge theory on AdS 4 induce boundary double‐trace deformations and argue that a similar effect takes place in the holography of linearized higher‐spin theories on AdS 4 .

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