Three-dimensional spin-3 theories based on general kinematical algebras

Bergshoeff, Eric; Grumiller, Daniel; Prohazka, Stefan; Rosseel, Jan (2017). Three-dimensional spin-3 theories based on general kinematical algebras. Journal of High Energy Physics, 2017(1), p. 114. Springer 10.1007/JHEP01(2017)114

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We initiate the study of non- and ultra-relativistic higher spin theories. For sake of simplicity we focus on the spin-3 case in three dimensions. We classify all kinematical algebras that can be obtained by all possible Inönü-Wigner contraction procedures of the kinematical algebra of spin-3 theory in three dimensional (anti-) de Sitter space-time. We demonstrate how to construct associated actions of Chern-Simons type, directly in the ultra-relativistic case and by suitable algebraic extensions in the non-relativistic case. We show how to give these kinematical algebras an infinite-dimensional lift by imposing suitable boundary conditions in a theory we call “Carroll Gravity”, whose asymptotic symmetry algebra turns out to be an infinite-dimensional extension of the Carroll algebra.

Item Type:

Journal Article (Original Article)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Rosseel, Jan

Subjects:

500 Science > 530 Physics

ISSN:

1029-8479

Publisher:

Springer

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

03 Aug 2017 15:22

Last Modified:

05 Dec 2022 15:02

Publisher DOI:

10.1007/JHEP01(2017)114

ArXiv ID:

1612.02277

BORIS DOI:

10.7892/boris.95450

URI:

https://boris.unibe.ch/id/eprint/95450

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