2013/12/20 by B.E.W. Nilsson, Nilsson, Bengt E. W.
Engineering · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle Accelerators and Free-Electron Lasers #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.1312.5883
openalex publication_date 2013/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this note we discuss some aspects of the frame formulation of conformal\nhigher spins in three dimensions. We give some exact formulae for the coupled\nspin two - spin three part of the full higher spin theory and propose a star\nproduct Lagrangian for all spins from two and up. Since there is no consistent\nLagrangian formulation based on the Poisson bracket we start the construction\nfrom the field equations in this approximation of the star product. The higher\nspin algebra is then realized in terms of classical variables which leads to\ncertain important simplifications that we take advantage of. The suggested\nstructure of the all-spin Lagrangian given here is, however, obtained using an\nexpansion of the star product beyond the Poisson bracket in terms of\nmulti-commutators and the Lagrangian should be viewed as a starting point for\nthe derivation of the full theory based on a star product. How to do this is\nexplained as well as how to include the coupling to scalar fields. We also\ncomment on the AdS/CFT relation to four dimensions.\n