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arXiv · 1008.4744

Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields

Andrea Campoleoni·Stefan Fredenhagen·Stefan Pfenninger·Stefan Theisen
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Abstract

We discuss the emergence of W-algebras as asymptotic symmetries of higher-spin gauge theories coupled to three-dimensional Einstein gravity with a negative cosmological constant. We focus on models involving a finite number of bosonic higher-spin fields, and especially on the example provided by the coupling of a spin-3 field to gravity. It is described by a SL(3) \times SL(3) Chern-Simons theory and its asymptotic symmetry algebra is given by two copies of the classical W_3-algebra with central charge the one computed by Brown and Henneaux in pure gravity with negative cosmological constant.

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Andrea Campoleoni, Stefan Fredenhagen, Stefan Pfenninger, Stefan Theisen. 2010-08-27. Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields. https://doi.org/10.1007/jhep11(2010)007

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