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arXiv · 1612.02277

Three-dimensional Spin-3 Theories Based on General Kinematical Algebras

Eric Bergshoeff·Daniel Grumiller·Stefan Prohazka·Jan Rosseel
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Abstract

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 In\"on\"u--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.

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Eric Bergshoeff, Daniel Grumiller, Stefan Prohazka, Jan Rosseel. 2016-12-07. Three-dimensional Spin-3 Theories Based on General Kinematical Algebras. https://doi.org/10.1007/jhep01(2017)114

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