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Higher Spin Extension of Fefferman-Graham Construction

Abstract : Fefferman-Graham ambient construction can be formulated as sp ( 2 ) -algebra relations on three Hamiltonian constraint functions on ambient space. This formulation admits a simple extension that leads to higher-spin fields, both conformal gauge fields and usual massless fields on anti-de Sitter spacetime. For the bulk version of the system, we study its possible on-shell version which is formally consistent and reproduces conformal higher-spin fields on the boundary. Interpretation of the proposed on-shell version crucially depends on the choice of the functional class. Although the choice leading to fully interacting higher-spin theory in the bulk is not known, we demonstrate that the system has a vacuum solution describing general higher-spin flat backgrounds. Moreover, we propose a functional class such that the system describes propagation of higher-spin fields over any higher-spin flat background, reproducing all the structures that determine the known nonlinear higher-spin equations.
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https://hal.archives-ouvertes.fr/hal-01744040
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Submitted on : Tuesday, March 27, 2018 - 6:09:31 AM
Last modification on : Wednesday, May 20, 2020 - 3:01:21 AM

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Xavier Bekaert, Maxim Grigoriev, Evgeny D. Skvortsov. Higher Spin Extension of Fefferman-Graham Construction. Universe, 2018, 4 (2), pp.17. ⟨10.3390/universe4020017⟩. ⟨hal-01744040⟩

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