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We investigate the asymptotic symmetry algebra of (2+1)-dimensional higherspin, anti-de Sitter gravity. We use the formulation of the theory as aChern-Simons gauge theory based on the higher spin algebra hs(1,1). Expandingthe gauge connection around asymptotically anti-de Sitter spacetime, we specifyconsistent boundary conditions on the higher spin gauge fields. We then studyresidual gauge transformation, the corresponding surface terms and theirPoisson bracket algebra. We find that the asymptotic symmetry algebra is anonlinearly deformed W(infinity) algebra with classical central charges. Wediscuss implications of our results to quantum gravity and to varioussituations in string theory.

Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity