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Higher Spin Extension of Fefferman-Graham Construction

Title: Higher Spin Extension of Fefferman-Graham Construction
Authors: Bekaert, Xavier; Grigoriev, Maxim; Skvortsov, Evgeny D.
Contributors: Laboratoire de Mathématiques et Physique Théorique (LMPT); Université de Tours (UT)-Centre National de la Recherche Scientifique (CNRS); Fédération de recherche Denis Poisson (FDP); Université d'Orléans (UO)-Université de Tours (UT)-Centre National de la Recherche Scientifique (CNRS); P. N. Lebedev Physical Institute of the Russian Academy of Sciences Moscow (LPI RAS); Russian Academy of Sciences Moscow (RAS); Max Planck Institute for Gravitational Physics (Albert Einstein Institute) (AEI); Max-Planck-Gesellschaft; This research was supported by the Russian Science Foundation grant 14-42-00047 in association with the LebedevPhysical Institute.
Source: Universe ; https://hal.science/hal-01744040 ; Universe, 2018, 4 (2), pp.17. ⟨10.3390/universe4020017⟩
Publisher Information: CCSD
Publication Year: 2018
Collection: Université François-Rabelais de Tours: HAL
Subject Terms: gauge field theory; conformal gauge; propagation; nonlinear; conformal; spin: high; vacuum: solution; constraint: Hamiltonian; space-time: anti-de Sitter; Fefferman-Graham; AdS/CFT; higher-spin theory; [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]
Description: International audience ; 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.
Document Type: article in journal/newspaper
Language: English
Relation: info:eu-repo/semantics/altIdentifier/arxiv/1710.11463; ARXIV: 1710.11463; INSPIRE: 1633627
DOI: 10.3390/universe4020017
Availability: https://hal.science/hal-01744040; https://hal.science/hal-01744040v1/document; https://hal.science/hal-01744040v1/file/universe-04-00017.pdf; https://doi.org/10.3390/universe4020017
Rights: info:eu-repo/semantics/OpenAccess
Accession Number: edsbas.7D1B96E0
Database: BASE