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Journal Article

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

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Fredenhagen,  Stefan
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Theisen,  Stefan
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1008.4744
(Preprint), 313KB

JHEP2010_007.pdf
(Any fulltext), 515KB

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Citation

Campoleoni, A., Fredenhagen, S., Pfenninger, S., & Theisen, S. (2010). Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields. Journal of High Energy Physics, 2010(11): 007, pp. 1-36. doi:10.1007/JHEP11(2010)007.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0012-C6B9-8
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.