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

2016

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

Bergshoeff, Eric, Grumiller, Daniel, Prohazka, Stefan et al.

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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 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.

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