Test of the local form of higher-spin equations via AdS/CFT

Abstract

The local form of higher-spin equations found recently to the second order [1] is shown to properly reproduce the anticipated $AdS/CFT$ correlators for appropriate boundary conditions. It is argued that consistent $AdS/CFT$ holography for the parity-broken boundary models needs a nontrivial modification of the bosonic truncation of the original higher-spin theory with the doubled number of fields, as well as a nonlinear deformation of the boundary conditions in the higher orders.

arXiv comment18 pages, Typos and acknowledgement corrected. Misleading notation in Section 4.2 changed. References corrected

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• Homotopy Properties and Lower-Order Vertices in Higher-Spin Equations
• Chern-Simons Matter Theories and Higher Spin Gravity
• Homotopy Operators and Locality Theorems in Higher-Spin Equations
• Basic introduction to higher-spin theories
• On the Local Frame in Nonlinear Higher-Spin Equations
• Current Interactions from the One-Form Sector of Nonlinear Higher-Spin Equations
• On holomorphic sector of higher-spin theory
• 4D Higher Spin Black Holes with Nonlinear Scalar Fluctuations
• Spin-Locality of ${\eta }^2$ and ${\bar{\eta }}^2$ Quartic Higher-Spin Vertices
• On current contribution to Fronsdal equations
• Projectively-Compact Spinor Vertices and Space-Time Spin-Locality in Higher-Spin Theory
• On the Higher Spin Spectrum of Chern-Simons Theory coupled to Fermions in the Large Flavour Limit
• Planar solutions of higher-spin theory. Nonlinear corrections
• On unfolded off-shell formulation for higher-spin theory
• ABJ Quadrality
• Planar solutions of higher-spin theory I: free field level
• Off-shell higher-spin fields in $Ad{S}_4$ and external currents
• Scattering amplitudes as multi-particle higher-spin charges in the correspondence space