Academic Journal
Fronsdal fields from gauge functions in Vasiliev’s higher spin gravity
| Title: | Fronsdal fields from gauge functions in Vasiliev’s higher spin gravity |
|---|---|
| Authors: | David Filippi, Carlo Iazeolla, Per Sundell |
| Source: | Journal of High Energy Physics. 2019(10):1-84 |
| Publisher Information: | Springer, 2019. |
| Publication Year: | 2019 |
| Collection: | Journal of High Energy Physics |
| Description: | 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. |
| Original Identifier: | 1905.06325 |
| Language: | English |
| DOI: | 10.1007/JHEP10(2019)215 |
| Access URL: | https://doi.org/10.1007/JHEP10(2019)215 |
| Rights: | The Author(s), 2019 CC-BY-3.0 URL: http://creativecommons.org/licenses/by/3.0/ |
| Accession Number: | edscop.50652 |
| Database: | SCOAP3 |
| FullText | Text: Availability: 0 CustomLinks: – Url: https://doi.org/10.1007/JHEP10(2019)215# Name: EDS - SCOAP3 (ns324271) Category: fullText Text: View record at SCOAP3 |
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| Items | – Name: Title Label: Title Group: Ti Data: Fronsdal fields from gauge functions in Vasiliev’s higher spin gravity – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22David+Filippi%22">David Filippi</searchLink><br /><searchLink fieldCode="AR" term="%22Carlo+Iazeolla%22">Carlo Iazeolla</searchLink><br /><searchLink fieldCode="AR" term="%22Per+Sundell%22">Per Sundell</searchLink> – Name: TitleSource Label: Source Group: Src Data: <i>Journal of High Energy Physics</i>. 2019(10):1-84 – Name: Publisher Label: Publisher Information Group: PubInfo Data: Springer, 2019. – Name: DatePubCY Label: Publication Year Group: Date Data: 2019 – Name: Subset Label: Collection Group: HoldingsInfo Data: Journal of High Energy Physics – Name: Abstract Label: Description Group: Ab Data: 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. – Name: AN Label: Original Identifier Group: ID Data: 1905.06325 – Name: Language Label: Language Group: Lang Data: English – Name: DOI Label: DOI Group: ID Data: 10.1007/JHEP10(2019)215 – Name: URL Label: Access URL Group: URL Data: <link linkTarget="URL" linkTerm="https://doi.org/10.1007/JHEP10(2019)215" linkWindow="_blank">https://doi.org/10.1007/JHEP10(2019)215</link> – Name: Copyright Label: Rights Group: Cpyrght Data: The Author(s), 2019<br />CC-BY-3.0<br />URL: http://creativecommons.org/licenses/by/3.0/ – Name: AN Label: Accession Number Group: ID Data: edscop.50652 |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edscop&AN=edscop.50652 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/JHEP10(2019)215 Languages: – Text: English PhysicalDescription: Pagination: PageCount: 84 StartPage: 1 Titles: – TitleFull: Fronsdal fields from gauge functions in Vasiliev’s higher spin gravity Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: David Filippi – PersonEntity: Name: NameFull: Carlo Iazeolla – PersonEntity: Name: NameFull: Per Sundell IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2019 Identifiers: – Type: issn-locals Value: edscop Numbering: – Type: volume Value: 2019 – Type: issue Value: 10 Titles: – TitleFull: Journal of High Energy Physics Type: main |
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