Higher spin gauge theories: Star product and AdS space

Oct, 1999
78 pages
e-Print:
Report number:
  • FIAN-TD-24-99

Citations per year

19992005201120172023010203040
Abstract: (arXiv)
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.
Note:
  • Contributed article to Golfand's Memorial Volume, M. Shifman ed., World Scientific
  • 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
  • gauge field theory
  • spin: high
  • dimension: 3
  • dimension: 4
  • current
  • space-time: anti-de Sitter
  • field equations: massless
  • field equations: solution
  • analytic properties
  • bibliography
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