Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
Aug, 2010
37 pages
Published in:
- JHEP 11 (2010) 007
e-Print:
- 1008.4744 [hep-th]
Report number:
- AEI-2010-140
View in:
Citations per year
Abstract: (arXiv)
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.Note:
- 38 pages/ version to be published in JHEP/ typos corrected in eqs. (2.9) and (2.54)
- Field Theories in Lower Dimensions
- Chern-Simons Theories
- Conformal and W Symmetry
- cosmological constant: negative
- dimension: 3
- gravitation: coupling
- algebra: W
- spin: high
- SL(3)
- Chern-Simons term
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