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

@article{Bergshoeff2016ThreedimensionalST, title={Three-dimensional spin-3 theories based on general kinematical algebras}, author={Eric Bergshoeff and Daniel Grumiller and Stefan Prohazka and Jan Rosseel}, journal={Journal of High Energy Physics}, year={2016}, volume={2017}, pages={1-49} }

A bstractWe 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…

## 34 Citations

Limits of three-dimensional gravity and metric kinematical Lie algebras in any dimension

- MathematicsJournal of High Energy Physics
- 2019

Abstract
We extend a recent classification of three-dimensional spatially isotropic homogeneous spacetimes to Chern-Simons theories as three-dimensional gravity theories on these spacetimes. By…

Non-relativistic and Ultra-relativistic Expansions of Three-dimensional Spin-3 Gravity Theories

- Mathematics
- 2022

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Chern-Simons Holography: Boundary Conditions, Contractions and Double Extensions for a Journey Beyond Anti-de Sitter

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- 2017

In this thesis Chern-Simons theories based on Lie algebras with invariant metric are constructed. It is discussed how contractions lead systematically to (higher spin) kinematical algebras of, e.g.,…

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We construct finite- and infinite-dimensional non-relativistic extensions of the Newton-Hooke and Carroll (A)dS algebras using the algebra expansion method, starting from the (anti-)de Sitter…

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A bstractWe present and discuss near horizon boundary conditions for flat space higher-spin gravity in three dimensions. As in related work our boundary conditions ensure regularity of the solutions…

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Most general flat space boundary conditions in three-dimensional Einstein gravity

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- 2017

We consider the most general asymptotically flat boundary conditions in three-dimensional Einstein gravity in the sense that we allow for the maximal number of independent free functions in the…

Non-relativistic spin-$3$ symmetries in $2+1$ dimensions from expanded/extended Nappi-Witten algebras

- Mathematics
- 2022

We show that infinite families of non-relativistic spin-3 symmetries in 2 ` 1 dimensions, which include higher-spin extensions of the Bargmann, Newton-Hooke, non-relativistic Maxwell, and…

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