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Generalized Chern–Simons higher-spin gravity theories in three dimensions
Dra. Rodríguez-Durán, Evelyn 
Caroca, Ricardo
Concha, Patrick
Fierro, Octavio
Salgado-Rebolledo, Patricio
10.1016/j.nuclphysb.2018.07.005
Elsevier
2018
The coupling of spin-3 gauge fields to three-dimensional Maxwell and AdS-Lorentz gravity theories is presented. After showing how the usual spin-3 extensions of the AdS and the Poincaré algebras in three dimensions can be obtained as expansions of sl(3,R) algebra, the procedure is generalized so as to define new higher-spin symmetries. Remarkably, the spin-3 extension of the Maxwell symmetry allows one to introduce a novel gravity model coupled to higher-spin topological matter with vanishing cosmological constant, which in turn corresponds to a flat limit of the AdS-Lorentz case. We extend our results to define two different families of higher-spin extensions of three-dimensional Einstein gravity.
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