2013/12/31 by Nicolas Boulanger, Per Sundell, Mauricio Valenzuela · 22 citations
Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Gauge (firearms) #Gauge theory #Integer (computer science) #Lorentz covariance #Lorentz transformation #Lorenz gauge condition #Noncommutative and Quantum Gravity Theories #Quantum and Classical Electrodynamics #Representation (politics) #Set (abstract data type) #hep-th
paper · pdf · doi:10.1007/jhep02(2014)052
published in Journal of High Energy Physics 2014(2) (Springer Nature) · 38 pages, 2 tables. References [7,13,61] added with comments in the second version. To appear in JHEP
openalex publication_date 2014/02/01 · arxiv created 2014/02/10 · arxiv updated 2015/06/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A bstract 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. The project was funded in part by F.R.S.-FNRS “ Ulysse ” Incentive Grant for Mobility in Scientific Research.