Actions for self-dual Higher Spin Gravities

A bstract Higher Spin Gravities are scarce, but covariant actions for them are even scarcer. We construct covariant actions for contractions of Chiral Higher Spin Gravity that represent higher spin extensions of self-dual Yang-Mills and self-dual Gravity theories. The actions give examples of comple...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2021; no. 8; pp. 1 - 30
Main Authors Krasnov, Kirill, Skvortsov, Evgeny, Tran, Tung
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 17.08.2021
Springer Nature B.V
SpringerOpen
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Summary:A bstract Higher Spin Gravities are scarce, but covariant actions for them are even scarcer. We construct covariant actions for contractions of Chiral Higher Spin Gravity that represent higher spin extensions of self-dual Yang-Mills and self-dual Gravity theories. The actions give examples of complete higher spin theories both in flat and (anti)-de Sitter spaces that feature gauge and gravitational interactions. The actions are based on a new description of higher spin fields, whose origin can be traced to early works on twistor theory. The new description simplifies the structure of interactions. In particular, we find a covariant form of the minimal gravitational interaction for higher spin fields both in flat and anti-de Sitter space, which resolves some of the puzzles in the literature.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP08(2021)076