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

  • A. CampoleoniEmail author
  • S. Fredenhagen
  • S. Pfenninger
  • S. Theisen
Article

Abstract

We discuss the emergence of \( \mathcal{W} \mbox{-algebras}\) 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) × SL(3) Chern-Simons theory and its asymptotic symmetry algebra is given by two copies of the classical \( {\mathcal{W}_3}\mbox{-algebra} \) with central charge the one computed by Brown and Henneaux in pure gravity with negative cosmological constant.

Keywords

Field Theories in Lower Dimensions Chern-Simons Theories Conformal and W Symmetry 

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Copyright information

© SISSA, Trieste, Italy 2010

Authors and Affiliations

  • A. Campoleoni
    • 1
    Email author
  • S. Fredenhagen
    • 1
  • S. Pfenninger
    • 1
  • S. Theisen
    • 1
  1. 1.Max-Planck-Institut für GravitationsphysikAlbert-Einstein-InstitutGolmGermany

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