Fronsdal fields from gauge functions in Vasiliev’s higher spin gravity
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Fecha
2019-10
Profesor/a Guía
Facultad/escuela
Idioma
en
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Título del volumen
Editor
Springer Verlag
Nombre de Curso
Licencia CC
Atribución 4.0 Internacional (CC BY 4.0)
Licencia CC
https://creativecommons.org/licenses/by/4.0/deed.es
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. © 2019, The Author(s).
Notas
Indexación: Scopus
Palabras clave
Black Holes, Higher Spin Gravity, Higher Spin Symmetry, Wilson, ’t Hooft and Polyakov loops
Citación
Journal of High Energy Physics Volume 2019, Issue 101 October 2019 Article number 215
DOI
10.1007/JHEP10(2019)215