Higher-order singletons, partially massless fields, and their boundary values in the ambient approach
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Publication:2440228
DOI10.1016/J.NUCLPHYSB.2013.08.015zbMATH Open1284.81188arXiv1305.0162OpenAlexW2091628858MaRDI QIDQ2440228
Author name not available (Why is that?)
Publication date: 27 March 2014
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1305.0162
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