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Higher Spin Symmetries, Star-Product and Relativistic Equations in AdS Space

2000/02/22 by M. A. Vasiliev, Vasiliev, M. A.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0002183

21 pages, latex, no figures, Based on the talks given at QFTHEP'99 (Moscow, May 1999), Supersymmetries and Quantum Symmetries (Dubna, July 1999), Bogolyubov Conference Problems of Theoretical and Mathematical Physics (Moscow-Dubna-Kyiv, Sept-Oct. 1999) and Symmetry and Integrability in Mathematical and Theoretical Physics, the Conference in Memory of M.V.Saveliev (Protvino, January 2000)

Abstract

We discuss general properties of the theory of higher spin gauge fields in AdS4 focusing on the relationship between the star-product origin of the higher spin symmetries, AdS geometry and the concept of space-time locality. A full list of conserved higher spin currents in the flat space of arbitrary dimension is presented.

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