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arXiv · 1210.6500

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

Max Riegler
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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.

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Max Riegler. 2012-10-24. Asymptotic Symmetry Algebras in Non-Anti-de-Sitter Higher-Spin Gauge Theories. https://arxiv.org/abs/1210.6500

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