Holographic dual of free field theory

Abstract

We derive a holographic dual description of free quantum field theory in arbitrary dimensions, by reinterpreting the exact renormalization group, to obtain a higher spin gravity theory of the general type which had been proposed and studied as a dual theory. We show that the dual theory reproduces all correlation functions.

5 pages, 1 figure; v2: various improvements

References in corpus (5)

• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• AdS_4/CFT_3 Construction from Collective Fields
• Holographic description of quantum field theory
• An exact statement for Wilsonian and Holographic renormalization group

Cited by in corpus (28)

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• Constructing local bulk observables in interacting AdS/CFT
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• Effective action in a higher-spin background
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• Higher-Spin Theory and Space-Time Metamorphoses
• A Derivation of AdS/CFT for Vector Models
• The Exact Renormalization Group and Higher-spin Holography
• Finite-cutoff JT gravity and self-avoiding loops
• 4D Higher Spin Black Holes with Nonlinear Scalar Fluctuations
• Chern-Simons-Ghost Theories and de Sitter Space
• Entanglement, Tensor Networks and Black Hole Horizons
• Higher Spin Holography, RG, and the Light Cone
• Holographic Coarse-Graining: Correlators from the Entanglement Wedge and Other Reduced Geometries
• de Sitter versus anti-de Sitter in Horndeski-like gravity
• Higher-spin gravity's "string": new gauge and proof of holographic duality for the linearized Didenko-Vasiliev solution
• Constructing the bulk at the critical point of three-dimensional large $N$ vector theories
• Emergent dual holographic description as a non-perturbative generalization of the Wilsonian renormalization group
• Constructing Non-Relativistic AdS${}_5$/CFT${}_4$ Holography
• Bulk locality and gauge invariance for boundary-bilocal cubic correlators in higher-spin gravity
• Constraints on beta functions in field theories
• Bulk Gauge Fields and Holographic RG from Exact RG
• Holographic RG from ERG: Locality and General Coordinate Invariance in the Bulk
• Exact effective action for the O(N) vector model in the large N limit
• Higher Spin Gravity and Exact Holography
• Massless graviton in a model of quantum gravity with emergent spacetime
• On boundary conditions and spacetime/fibre duality in Vasiliev's higher-spin gravity
• Comparison between renormalization group derived emergent dual holography and string theory based holographic duality