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Journal Article

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

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##### Fulltext (public)

1008.4744

(Preprint), 313KB

JHEP2010_007.pdf

(Any fulltext), 515KB

##### Supplementary Material (public)

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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: http://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.