Bonezzi, RobertoBoulanger, NicolasSezgin, ErginSundell, Per2023-10-262023-10-262016-05Journal of High Energy Physics. Volume 2016, Issue 5. 1 May 2016. Article number 31126-6708https://repositorio.unab.cl/xmlui/handle/ria/53649Indexación: Scopus.We propose a covariant Hamiltonian action for the Prokushkin and Vasiliev’s matter coupled higher spin gravity in three dimensions. The action is formulated on X4×Z2 where X4 is an open manifold whose boundary contains spacetime and Z2 is a noncom mutative twistor space. We examine various consistent truncations to models of BF type in X4 and Z2 with B2 terms and central elements. They are obtained by integrating out the matter fields in the presence of a vacuum expectation value ν ∈ R for the zero-form master field. For ν = 0, we obtain a model on X4 containing Blencowe’s action and a model on Z2 containing the Prokushkin-Segal-Vasiliev action. For generic ν (including ν = 0), we propose an alternative model on X4 with gauge fields in the Weyl algebra of Wigner’s deformed oscillator algebra and Lagrange multipliers in the algebra of operators acting in the Fock representation space of the deformed oscillators.enHigher Spin GravityHigher Spin SymmetryArtículoAtribution 4.0 International (CC BY 4.0)10.1007/JHEP05(2016)003