Fronsdal fields from gauge functions in Vasiliev’s higher spin gravity

David De Filippi, Carlo Iazeolla, Per Sundell

Resultado de la investigación: Article

1 Cita (Scopus)

Resumen

In this paper, we revisit a number of issues in Vasiliev’s theory related to gauge functions, ordering schemes, and the embedding of Fronsdal fields into master fields. First, we parametrize a broad equivalence class of linearized solutions using gauge functions and integration constants, and show explicitly how Fronsdal fields and their Weyl tensors arise from these data in accordance with Vasiliev’s central on mass shell theorem. We then gauge transform the linearized piece of exact solutions, obtained in a convenient gauge in Weyl order, to the aforementioned class, where we land in normal order. We spell out this map for massless particle and higher spin black hole modes. Our results show that Vasiliev’s equations admit the correct free-field limit for master field configurations that relax the original regularity and gauge conditions in twistor space. Moreover, they support the off-shell Frobenius-Chern-Simons formulation of higher spin gravity for which Weyl order plays a crucial role. Finally, we propose a Fefferman-Graham-like scheme for computing asymptotically anti-de Sitter master field configurations, based on the assumption that gauge function and integration constant can be adjusted perturbatively so that the full master fields approach free master fields asymptotically.

Idioma originalEnglish
Número de artículo215
PublicaciónJournal of High Energy Physics
Volumen2019
N.º10
DOI
EstadoPublished - 1 oct 2019

Huella dactilar

gravitation
particle spin
configurations
regularity
embedding
equivalence
theorems
tensors
formulations

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Citar esto

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Fronsdal fields from gauge functions in Vasiliev’s higher spin gravity. / De Filippi, David; Iazeolla, Carlo; Sundell, Per.

En: Journal of High Energy Physics, Vol. 2019, N.º 10, 215, 01.10.2019.

Resultado de la investigación: Article

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AU - Iazeolla, Carlo

AU - Sundell, Per

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