Holography, Duality and Higher-Spin Theories

Abstract

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. Using the canonical formulation I show that duality transformations in a U(1) gauge theory on AdS4 induce boundary double-trace deformations. I argue that a similar effect takes place in the holography of linearized higher-spin theories on AdS4.

19 pages. Presented at the First Solvay Workshop, ``Higher-Spin Gauge Theories'', Brussels, 12-14 May 2004

References in corpus (15)

• Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)d{S}_d$
• Anti De Sitter Space And Holography
• Holography in 4D (Super) Higher Spin Theories and a Test via Cubic Scalar Couplings
• Holography of the N=1 Higher-Spin Theory on AdS4
• Conserved Currents, Consistency Relations and Operator Product Expansions in the Conformally Invariant O(N) Vector Model
• Operator Product Expansion of the Lowest Weight CPOs in N=4 SYM_4 at Strong Coupling
• Duality in linearized gravity
• An Introduction to Free Higher-Spin Fields
• SL(2,Z) Action on Three-Dimensional CFTs and Holography
• Evaluating the AdS dual of the critical O(N) vector model
• SL(2,Z) Action On Three-Dimensional Conformal Field Theories With Abelian Symmetry
• Higher Spin Gauge Theories in Any Dimension
• Conformal Coupling of Higher Spin Gauge Fields to a Scalar Field in $Ad{S}_4$ and Generalized Weyl Invariance
• The masses of gauge fields in higher spin field theory on AdS(4)
• Higher spin symmetry (breaking) in N=4 SYM theory and holography

Cited by in corpus (17)

• Nonlinear higher spin theories in various dimensions
• Ohm's Law at strong coupling: S duality and the cyclotron resonance
• Boundary Conditions and Dualities: Vector Fields in AdS/CFT
• Higher-Spin Gauge Theories and Bulk Locality
• BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space
• Constructing the Cubic Interaction Vertex of Higher Spin Gauge Fields
• Hall Conductivity of Flavor Fields from AdS/CFT
• Generalized symmetries and 2-groups via electromagnetic duality in AdS/CFT
• On Lagrangian formulation of Higher Spin Theories on AdS
• General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. 2. Fermionic fields
• Baryonic symmetries and M5 branes in the AdS_4/CFT_3 correspondence
• "Massive" Higher Spin Multiplets and Holography
• Sub-AdS Scale Locality in AdS${}_3$/CFT${}_2$
• AdS Taub-Nut Space and the O(N) Vector Model on a Squashed 3-Sphere
• Strings on AdS_2 and the High-Energy Limit of Noncritical M-Theory
• Programming Realization of Symbolic Computations for Non-linear Commutator Superalgebras over the Heisenberg--Weyl Superalgebra: Data Structures and Processing Methods
• Issues of duality in Abelian Gauge Theory and in Linearized Gravity