Towards higher-spin holography in ambient space of any dimension

Abstract

We derive the propagators for higher-spin master fields in anti-de Sitter space of arbitrary dimension. A method is developed to construct the propagators directly without solving any differential equations. The use of the ambient space, where AdS is represented as a hyperboloid and its conformal boundary as a projective light-cone, simplifies the approach and makes a direct contact between boundary-to-bulk propagators and two-point functions of conserved currents.

26 pages, one figure; contribution to the J.Phys.A special volume on "Higher Spin Theories and AdS/CFT" edited by Matthias Gaberdiel and Mikhail Vasiliev

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Cited by in corpus (31)

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• On the uniqueness of higher-spin symmetries in AdS and CFT
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• Exact higher-spin symmetry in CFT: all correlators in unbroken Vasiliev theory
• Higher order singletons, partially massless fields and their boundary values in the ambient approach
• On partition function and Weyl anomaly of conformal higher spin fields
• Higher Spin AdS${}_{d+1}$/CFT${}_d$ at One Loop
• Partition Functions and Casimir Energies in Higher Spin AdS_{d+1}/CFT_d
• Higher-Spin Theory and Space-Time Metamorphoses
• Exact higher-spin symmetry in CFT: free fermion correlators from Vasiliev Theory
• New Conformal Higher Spin Gravities in $3d$
• General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. 2. Fermionic fields
• Probing higher spin black holes from CFT
• The Holographic Geometry of the Renormalization Group and Higher Spin Symmetries
• Interactions in Higher-Spin Gravity: a Holographic Perspective
• Multiparticle extension of the higher-spin algebra
• Uniformizing higher-spin equations
• Slightly Broken Higher Spin Symmetry: General Structure of Correlators
• Planar solutions of higher-spin theory. Nonlinear corrections
• Vectorial AdS_5/CFT_4 duality for spin-one boundary theory
• The holographic dual of the Penrose transform
• Planar solutions of higher-spin theory I: free field level
• On (Un)Broken Higher-Spin Symmetry in Vector Models
• Higher-spin gravity as a theory on a fixed (anti) de Sitter background
• Antipodally symmetric gauge fields and higher-spin gravity in de Sitter space
• Holography beyond conformal invariance and AdS isometry?
• On (spinor)-helicity and bosonization in $Ad{S}_4/CF{T}_3$
• Towards holographic higher-spin interactions: Four-point functions and higher-spin exchange
• Asymptotic symmetries and geometry on the boundary in the first order formalism
• Massless spinning particle and null-string on $Ad{S}_d$: projective-space approach
• On Gluing CFT Correlators to Higher-Spin Amplitudes in AdS