Three-dimensional spin-3 theories based on general kinematical algebras
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Publication:1678920
DOI10.1007/JHEP01(2017)114zbMATH Open1373.58011arXiv1612.02277MaRDI QIDQ1678920
Author name not available (Why is that?)
Publication date: 7 November 2017
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1612.02277
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