Asymptotic Symmetry Algebras in Non-Anti-de-Sitter Higher-Spin Gauge Theories

Abstract

We analyze asymptotic symmetry algebras in (2+1)-dimensional non-AdS higher-spin gravity with a focus on AdS${}_2\times \mathbb{R}$ and ${\mathbb{H}}_2\times \mathbb{R}$. We find a consistent set of boundary conditions for spin-3 gravity in the non-principal embedding and calculate the corresponding asymptotic symmetry algebra in the classical and quantum mechanical case. In addition, we check for unitary representations of the resulting quantum ${\mathcal{W}}_3^{(2)}$ algebra and give an interpretation of the corresponding CFT.

arXiv comment53 pages, 1 figure, (master's thesis; defended on October 3rd, 2012)

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• Asymptotic symmetry algebra of conformal gravity