2013/12/31 by R. R. Metsaev, R R Metsaev
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #hep-th
paper · pdf · doi:10.1088/1751-8113/47/37/375401
published as J. Phys. A47 (2014) 375401 · 25 pages, LaTeX-2e. v2: In section 6, discussion of various technical details added. Typos corrected. Table 7 and references added
openalex publication_date 2014/08/29 · arxiv created 2014/09/01 · arxiv updated 2014/09/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
Totally symmetric arbitrary spin fields in AdS space, conformal fields, conformal currents, and shadow fields in flat space are studied. Light-cone gauge formulations for such fields, currents and shadows are obtained. Use of the Poincaré parametrization of AdS space and ladder operators allows us to treat fields in flat and AdS spaces on an equal footing. Light-cone gauge realization of relativistic symmetries for fields, currents and shadows is also obtained. The light-cone gauge formulation for fields is obtained by using the gauge invariant Lagrangian which is presented in terms of modified de Donder divergence, while the light-cone gauge formulation for currents and shadows is obtained by using the gauge invariant approach to currents and shadows. This allows us to demonstrate explicitly how the ladder operators entering the gauge invariant formulation of fields, currents and shadows manifest themselves in the light-cone gauge formulation for fields, currents and shadows.