Higher Spin Gravity with Matter in AdS_3 and Its CFT Dual

Abstract

We study Vasiliev's system of higher spin gauge fields coupled to massive scalars in AdS_3, and compute the tree level two and three point functions. These are compared to the large N limit of the W_N minimal model, and nontrivial agreements are found. We propose a modified version of the conjecture of Gaberdiel and Gopakumar, under which the bulk theory is perturbatively dual to a subsector of the CFT that closes on the sphere.

58 pages; typos corrected, references added

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• Thermodynamics of higher spin black holes in 3D
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• Vector Models in the Singlet Sector at Finite Temperature
• Extended higher spin holography and Grassmannian models
• The semiclassical limit of W_N CFTs and Vasiliev theory
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• The Coset Spin-4 Casimir Operator and Its Three-Point Functions with Scalars
• Aspects of Three-dimensional Spin-4 Gravity
• Higher-Spin Algebras, Holography and Flat Space
• Supersymmetric holography on AdS3
• W Symmetry and Integrability of Higher spin black holes
• Topologically Massive Higher Spin Gravity
• Spin-3 Topological Massive Gravity
• Matching four-point functions in higher spin AdS_3/CFT_2
• Partition Functions for Higher-Spin theories in AdS
• Probing higher spin black holes from CFT
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• N=1 extension of minimal model holography
• Interactions in Higher-Spin Gravity: a Holographic Perspective
• Three point functions in higher spin AdS_3 supergravity
• Multiparticle extension of the higher-spin algebra
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• Symmetries of Holographic Super-Minimal Models
• Higher Spins and Matter Interacting in Dimension Three
• Constraints on Higher Spin CFT${}_2$
• One loop partition function for Topologically Massive Higher Spin Gravity
• Smoothed Transitions in Higher Spin AdS Gravity
• 1/N and Loop Corrections in Higher Spin AdS_4/CFT_3 Duality
• Three-Point Functions in N=2 Higher-Spin Holography
• High Spin Topologically Massive Gravity
• On the Higher Spin Spectrum of Chern-Simons Theory coupled to Fermions in the Large Flavour Limit
• The $\mathcal{N}=1$ algebra ${\mathcal{W}}_{\infty }[\mu ]$ and its truncations
• Higher Spin Currents with Arbitrary N in the N=1 Stringy Coset Minimal Model
• The Operator Product Expansion of the Lowest Higher Spin Current at Finite N
• Perturbative and Non-Perturbative Aspects in Vector Model/Higher Spin Duality
• A semi-local holographic minimal model
• Chern-Simons theory coupled to bifundamental scalars
• Asymptotic symmetries and thermodynamics of higher spin black holes in AdS3
• An Action for Matter Coupled Higher Spin Gravity in Three Dimensions
• Spin-5 Casimir Operator and Its Three-Point Functions with Two Scalars
• Massless hook field in AdS(d+1) from the holographic perspective
• Field Theory of Primaries in W_N Minimal Models
• The Spectrum of Light States in Large N Minimal Models
• CFT adapted approach to massless fermionic fields, AdS/CFT, and fermionic conformal fields
• Toward Higher Spin dS3/CFT2
• AdS/CFT for 3D Higher-Spin Gravity Coupled to Matter Fields
• Higgs phenomenon for higher spin fields on AdS_3
• The Next $16$ Higher Spin Currents and Three-Point Functions in the Large $\mathcal{N}=4$ Holography
• Three point functions in higher spin AdS_3 holography with 1/N corrections
• Three Point Functions in the N=4 Orthogonal Coset Theory
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• Holographic Renormalisation for the Spin-3 Theory and the (A)dS3/CFT2 correspondence
• Extended hamiltonian action for arbitrary spin fields in flat and AdS spaces
• Metric-Like Formalism for Matter Fields Coupled to 3D Higher Spin Gravity
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• Unitary W-algebras and three-dimensional higher spin gravities with spin one symmetry
• Resummation of scalar correlator in higher spin black hole background
• Higher Spin Currents in the Orthogonal Coset Theory
• String Amplitudes and Frame-like Formalism for Higher Spins
• Coupling coefficient in three dimensional higher spin holography
• Higher Spin Holography and AdS String Sigma-Model
• Universal Bounds in Even-Spin CFTs
• Wolf Space Coset Spectrum in the Large $\mathcal{N}=4$ Holography
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• Unfolded Fierz-Pauli Equations in Three-Dimensional Asymptotically Flat Spacetimes
• Higher Spin Gravity and Exact Holography
• On Gluing CFT Correlators to Higher-Spin Amplitudes in AdS
• Anomaly of Tensionless String in Light-cone Gauge
• Self-Duality from New Massive Gravity Holography