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Article overview
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Higher order singletons, partially massless fields and their boundary values in the ambient approach | | Xavier Bekaert
; Maxim Grigoriev
; | | Date: |
1 May 2013 | | Abstract: | Using ambient space we develop a fully gauge and o(d,2) covariant approach to
boundary values of AdS(d+1) gauge fields. It is applied to the study of
(partially) massless fields in the bulk and (higher-order) conformal scalars,
i.e. singletons, as well as (higher-depth) conformal gauge fields on the
boundary. In particular, we identify the corresponding Fradkin-Tseytlin
equations as obstructions to the extension of the off-shell boundary value to
the bulk, generalizing the usual considerations for the holographic anomalies
to the partially massless fields. We also relate the background fields for the
higher-order singleton to the boundary values of partially massless fields and
prove the appropriate generalization of the Flato-Fronsdal theorem, which is in
agreement with the known structure of symmetries for the higher-order wave
operator. All these facts support the following generalization of the
higher-spin holographic duality: the O(N) model at a multicritical isotropic
Lifshitz point should be dual to the theory of partially massless symmetric
tensor fields described by the Vasiliev equations based on the higher-order
singleton symmetry algebra. | | Source: | arXiv, 1305.0162 | | Services: | Forum | Review | PDF | Favorites | |
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