W Gravity From Chern--Simons Theory

Abstract

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.

35 pages

References in corpus (1)

• The Covariant W_3 Action

Cited by in corpus (23)

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• Covariant $W$ Gravity \& its Moduli Space from Gauge Theory
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• The geometry of W3 algebra: a twofold way for the rebirth of a symmetry
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