Nonlinear W∞ as asymptotic symmetry of three-dimensional higher spin AdS gravity
By M. Henneaux, S. Rey. 2010
326 citations recorded by the source corpus.
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 realized W∞ algebra with classical central charges. We discuss implications of our results to quantum gravity and to various situations in string theory.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/1b04734d5629c135a7833e91354ad9dc746e9883
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Citations in the corpus
- Cubic interactions of massless higher spins in (A)dS: Metric-like approach (2011, methodology): “e vertices of massless HS fields using vertex operators in String theory, and [91] for its recent extension to AdS. 24 In the AdS 3 case, there has been considerable recent development after the works [94, 95]. – 22 – Let us first recall the flat-space case. The idea is to start from the on-shell actio”