W Gravity From Chern--Simons Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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35 pages

Scientific paper

10.1016/0550-3213(92)90650-Z

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

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