Higher Spin Gauge Theories: Star-Product and AdS Space

Abstract

We review the theory of higher spin gauge fields in 2+1 and 3+1 dimensional anti-de Sitter space and present some new results on the structure of higher spin currents and explicit solutions of the massless equations. A previously obtained d=3 integrating flow is generalized to d=4 and is shown to give rise to a perturbative solution of the d=4 nonlinear higher spin equations. A particular attention is paid to the relationship between the star-product origin of the higher spin symmetries, AdS geometry and the concept of space-time locality.

79 pages, latex [sprocl], no figures, Contributed article to Golfand's Memorial Volume, M.Shifman ed., World Scientific; V2: missed terms in Eq.(29) are fixed, acknowledgment added

References in corpus (2)

• Superparticle Models with Tensorial Central Charges
• Currents of Arbitrary Spin in $Ad{S}_3$

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