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

Abstract

We discuss general properties of the theory of higher spin gauge fields in $Ad{S}_4$ 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.

arXiv comment21 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)

References in corpus (2)

• Higher Spin Gauge Theories: Star-Product and AdS Space
• Theory of higher spin tensor currents and central charges

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• New 4D, N = 1 Superfield Theory: Model of Free Massive Superspin-3/2 Multiplet
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• From Higher Spins to Strings: A Primer
• Lifshitz black holes in higher spin gravity
• Higher Spin Lifshitz Theories and the KdV-Hierarchy
• Higher Spin Lifshitz Theory and Integrable Systems
• Exploring new Boundary Conditions for $\mathcal{N}=(1,1)$ Extended Higher Spin $Ad{S}_3$ Supergravity
• $\mathcal{N}=(2,2)$ extended $\mathfrak{sl}(3|2)$ Chern-Simons $Ad{S}_3$ supergravity with new boundaries