Generalized Chern–Simons higher-spin gravity theories in three dimensions
Ricardo CarocaDepartamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima Concepción, Alonso de Ribera 2850, Concepción, ChilePatrick ConchaInstituto de Física, Pontificia Universidad Católica de Valparaíso, Casilla 4059, Valparaíso, ChileOctavio FierroDepartamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima Concepción, Alonso de Ribera 2850, Concepción, ChileEvelyn RodríguezDepartamento de Ciencias, Facultad de Artes Liberales, Universidad Adolfo Ibáñez, Av. Padre Hurtado 750, Viña del Mar, ChilePatricio Salgado-RebolledoFacultad de Ingeniería y Ciencias and UAI Physic Center, Universidad Adolfo Ibáñez, Avda. Diagonal Las Torres 2640, Peñalolén, Santiago, Chile
2018en
ABI
Annotatsiya
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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