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Conformal higher spin currents in any dimension and AdS/CFT correspondence

2000/10/25 by S. E. Konstein, Semjon E Konstein, M. A. Vasiliev +3 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Conformal symmetry #Conserved current #Dimension (graph theory) #Primary field #Quantum Chromodynamics and Particle Interactions #Spin (aerodynamics) #Spinor #Symmetry (geometry) #Topological Materials and Phenomena #hep-th

paper · pdf · doi:10.1088/1126-6708/2000/12/018

published as JHEP 0012 (2000) 018 · 10 pages, Latex

arxiv created 2000/10/25 · openalex publication_date 2000/12/19 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The full list of conserved conformal higher spin currents built from massless scalar and spinor fields is presented. It is shown that, analogously to the relationship between usual conformal and AdS symmetries, the set of the conformal higher spin symmetry parameters associated with the conformal conserved currents in d dimensions is in the one-to-one correspondence with the result of the dimensional reduction of the usual (i.e., non-conformal) higher spin symmetry parameters in d+1 dimensions.

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