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Higher-order singletons and partially massless fields

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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. We prove the appropriate generalization of the Flato-Fronsdal theorem on the decomposition of the tensor product of two singletons, 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 an 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.

This talk is part of the Quantum Fields and Strings Seminars series.

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