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.

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

References in corpus (1)

• Star-Product Functions in Higher-Spin Theory and Locality

Cited by in corpus (8)

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• Planar solutions of higher-spin theory. Nonlinear corrections
• ABJ Quadrality
• Planar solutions of higher-spin theory I: free field level
• Off-shell higher-spin fields in $Ad{S}_4$ and external currents