1999/07/05 by Sergey Prokushkin, Mikhail Vasiliev
Physics and Astronomy · #hep-th
published as Theor.Math.Phys. 123 (2000) 415-435; Teor.Mat.Fiz. 123 (2000) 3-25 · Extended version of hep-th/9906149 accepted for publication in Theor.Math.Phys.; LaTeX, 22 pages, no figures
arxiv created 1999/07/05 · arxiv updated 2009/11/30
We study conserved currents of any integer or half integer spin built from massless scalar and spinor fields in AdS3. 2-forms dual to the conserved currents in AdS3 are shown to be exact in the class of infinite expansions in higher derivatives of the matter fields with the coefficients containing inverse powers of the cosmological constant. This property has no analog in the flat space and may be related to the holography of the AdS spaces. `Improvements' to the physical currents are described as the trivial local current cohomology class. A complex of spin s currents (Ts, \cal D) is defined and the cohomology group H1(Ts, \cal D) = \bf C2s+1 is found. This paper is an extended version of hep-th/9906149.