Boulanger, N.Sundell, P.Valenzuela, M.2017-08-182017-08-182014-02Journal of High Energy Physics. Volume 2014, Issue 2, February 2014, Article number 0521029-8479DOI: 10.1007/JHEP02(2014)052http://repositorio.unab.cl/xmlui/handle/ria/3979Indexación: Web of Science; Scopus.Using Wigner-deformed Heisenberg oscillators, we construct 3D Chern-Simons models consisting of fractional-spin fields coupled to higher-spin gravity and internal nonabelian gauge fields. The gauge algebras consist of Lorentz-tensorial Blencowe-Vasiliev higher-spin algebras and compact internal algebras intertwined by infinite-dimensional generators in lowest-weight representations of the Lorentz algebra with fractional spin. In integer or half-integer non-unitary cases, there exist truncations to gl(ℓ, ℓ ± 1) or gl(ℓ|ℓ ± 1) models. In all non-unitary cases, the internal gauge fields can be set to zero. At the semi-classical level, the fractional-spin fields are either Grassmann even or odd. The action requires the enveloping-algebra representation of the deformed oscillators, while their Fock-space representation suffices on-shell.enChern-Simons TheoryAnyonsArtículo