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W Gravity From Chern--Simons Theory

High Energy Physics - Theory 2009-10-22 v1

Abstract

Starting with three dimensional Chern--Simons theory with gauge group Sl(N,R)Sl(N,R), we derive an action ScovS_{cov} invariant under both left and right WNW_N transformations. We give an interpretation of ScovS_{cov} in terms of anomalies, and discuss its relation with Toda theory.

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Cite

@article{arxiv.hep-th/9112060,
  title  = {W Gravity From Chern--Simons Theory},
  author = {Jan de Boer and Jacob Goeree},
  journal= {arXiv preprint arXiv:hep-th/9112060},
  year   = {2009}
}

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35 pages