A Note on Vectorial AdS${}_5$/CFT${}_4$ Duality for Spin-$j$ Boundary Theory

Abstract

The vectorial holographic correspondences between higher-spin theories in AdS${}_5$ and free vector models on the boundary are extended to the cases where the latter is described by free massless spin-$j$ field. The dual higher-spin theory in the bulk does not include gravity and can only be defined on rigid AdS${}_5$ background with $S^4$ boundary. We discuss various properties of these rather special higher-spin theories and calculate their one-loop free energies. We show that the result is proportional to the same quantity for spin-$j$ doubleton treated as if it is a AdS${}_5$ field. Finally, we consider even more special case where the boundary theory itself is given by an infinite tower of massless higher-spin fields.

arXiv comment27 pages, version to appear in JHEP

References in corpus (54)

• AdS Dual of the Critical O(N) Vector Model
• Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)d{S}_d$
• Massless Higher Spins and Holography
• An AdS_3 Dual for Minimal Model CFTs
• Higher-Spin Gauge Interactions for Massive Matter Fields in 3D AdS Space-Time
• On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces
• The Higher Spin/Vector Model Duality
• Logarithmic Corrections to N=2 Black Hole Entropy: An Infrared Window into the Microstates
• Free geometric equations for higher spins
• How massless are massless fields in $Ad{S}_d$
• One Loop Tests of Higher Spin AdS/CFT
• Logarithmic Corrections to N=4 and N=8 Black Hole Entropy: A One Loop Test of Quantum Gravity
• Conformal Higher Spin Symmetries of 4d Massless Supermultiplets and $osp(L,2M)$ Invariant Equations in Generalized (Super)Space
• Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function
• On geometric equations and duality for free higher spins
• On the uniqueness of higher-spin symmetries in AdS and CFT
• Higher spins in AdS_5 at one loop: vacuum energy, boundary conformal anomalies and AdS/CFT
• Logarithmic Corrections to Rotating Extremal Black Hole Entropy in Four and Five Dimensions
• Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: I. General Formalism
• Doubletons and 5D Higher Spin Gauge Theory
• Higher Spin Symmetry and N=4 SYM
• Quantum W-symmetry in AdS_3
• Higher Spin Superalgebras in any Dimension and their Representations
• Tensor fields of mixed Young symmetry type and N-complexes
• Character Formulae and Partition Functions in Higher Dimensional Conformal Field Theory
• Higher Spin AdS${}_{d+1}$/CFT${}_d$ at One Loop
• Towards Massless Higher Spin Extension of D=5, N=8 Gauged Supergravity
• Unified BRST description of AdS gauge fields
• Higher-spin algebras and cubic interactions for simple mixed-symmetry fields in AdS spacetime
• On the spectrum of AdS/CFT beyond supergravity
• Maxwell-like Lagrangians for higher spins
• Unified BRST approach to (partially) massless and massive AdS fields of arbitrary symmetry type
• Supergravity one-loop corrections on AdS_7 and AdS_3, higher spins and AdS/CFT
• 7D Bosonic Higher Spin Theory: Symmetry Algebra and Linearized Constraints
• Black hole pair creation in de Sitter space: a complete one-loop analysis
• The Heat Kernel on $AdS$
• Exceptional F(4) Higher-Spin Theory in AdS(6) at One-Loop and other Tests of Duality
• Transverse Invariant Higher Spin Fields
• Higher Spin Conformal Currents in Minkowski Space
• Heat Kernel Expansion and Extremal Kerr-Newmann Black Hole Entropy in Einstein-Maxwell Theory
• Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons
• Weyl anomaly of conformal higher spins on six-sphere
• Partition Functions for Higher-Spin theories in AdS
• Supersymmetric Localization for BPS Black Hole Entropy: 1-loop Partition Function from Vector Multiplets
• Higher Spin Fields in Siegel Space, Currents and Theta Functions
• One-loop Test of Free SU(N) Adjoint Model Holography
• On the gauge symmetries of Maxwell-like higher-spin Lagrangians
• Notes on conformal invariance of gauge fields
• Deformed Twistors and Higher Spin Conformal (Super-)Algebras in Six Dimensions
• Logarithmic Corrections to Extremal Black Hole Entropy in N = 2, 4 and 8 Supergravity
• On the Holography of Free Yang-Mills
• On Higher Spin Symmetries in AdS_{5}
• Iterating free-field AdS/CFT: higher spin partition function relations
• Heat Kernels on the AdS(2) cone and Logarithmic Corrections to Extremal Black Hole Entropy

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• One-Loop Free Energy of Tensionless Type IIB String in AdS${}_5\times$S${}^5$
• Character Integral Representation of Zeta function in AdS${}_{d+1}$: I. Derivation of the general formula
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