Nonlinear WinfinityW_{infinity} as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity

Aug, 2010
26 pages
Published in:
  • JHEP 12 (2010) 007
e-Print:

Citations per year

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Abstract: (arXiv)
We investigate the asymptotic symmetry algebra of (2+1)-dimensional higher spin, anti-de Sitter gravity. We use the formulation of the theory as a Chern-Simons gauge theory based on the higher spin algebra hs(1,1). Expanding the gauge connection around asymptotically anti-de Sitter spacetime, we specify consistent boundary conditions on the higher spin gauge fields. We then study residual gauge transformation, the corresponding surface terms and their Poisson bracket algebra. We find that the asymptotic symmetry algebra is a nonlinearly deformed W(infinity) algebra with classical central charges. We discuss implications of our results to quantum gravity and to various situations in string theory.
Note:
  • 25 pages, no figure/ v2. minor corrections, references added, v3. JHEP published version
  • AdS-CFT Correspondence
  • Chern-Simons Theories
  • Classical Theories of Gravity
  • Conformal and W Symmetry
  • spin: high
  • algebra: W(infinity)
  • gravitation: anti-de Sitter
  • dimension: 3
  • algebra: deformation
  • Chern-Simons term