Fronsdal fields from gauge functions in Vasiliev’s higher spin gravity
Abstract 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, a...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
SpringerOpen
2019-10-01
|
Series: | Journal of High Energy Physics |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1007/JHEP10(2019)215 |
id |
doaj-f6fa799b428e49a092000841de882bc7 |
---|---|
record_format |
Article |
spelling |
doaj-f6fa799b428e49a092000841de882bc72020-11-25T03:59:13ZengSpringerOpenJournal of High Energy Physics1029-84792019-10-0120191018410.1007/JHEP10(2019)215Fronsdal fields from gauge functions in Vasiliev’s higher spin gravityDavid De Filippi0Carlo Iazeolla1Per Sundell2Service de Physique de l’Univers, Champs et Gravitation, UMONSNSR Physics Department, G. Marconi UniversityDepartamento de Ciencias Físicas, Universidad Andrés BelloAbstract 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.http://link.springer.com/article/10.1007/JHEP10(2019)215Higher Spin GravityHigher Spin SymmetryBlack HolesWilson’t Hooft and Polyakov loops |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
David De Filippi Carlo Iazeolla Per Sundell |
spellingShingle |
David De Filippi Carlo Iazeolla Per Sundell Fronsdal fields from gauge functions in Vasiliev’s higher spin gravity Journal of High Energy Physics Higher Spin Gravity Higher Spin Symmetry Black Holes Wilson ’t Hooft and Polyakov loops |
author_facet |
David De Filippi Carlo Iazeolla Per Sundell |
author_sort |
David De Filippi |
title |
Fronsdal fields from gauge functions in Vasiliev’s higher spin gravity |
title_short |
Fronsdal fields from gauge functions in Vasiliev’s higher spin gravity |
title_full |
Fronsdal fields from gauge functions in Vasiliev’s higher spin gravity |
title_fullStr |
Fronsdal fields from gauge functions in Vasiliev’s higher spin gravity |
title_full_unstemmed |
Fronsdal fields from gauge functions in Vasiliev’s higher spin gravity |
title_sort |
fronsdal fields from gauge functions in vasiliev’s higher spin gravity |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2019-10-01 |
description |
Abstract 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. |
topic |
Higher Spin Gravity Higher Spin Symmetry Black Holes Wilson ’t Hooft and Polyakov loops |
url |
http://link.springer.com/article/10.1007/JHEP10(2019)215 |
work_keys_str_mv |
AT daviddefilippi fronsdalfieldsfromgaugefunctionsinvasilievshigherspingravity AT carloiazeolla fronsdalfieldsfromgaugefunctionsinvasilievshigherspingravity AT persundell fronsdalfieldsfromgaugefunctionsinvasilievshigherspingravity |
_version_ |
1724455111475855360 |