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We construct a gauge theory of woo gravity coupled to scalars. For scalar fields valued in some-finite-dimensional Lie algebra, a complete realisation of gauged w~ can be given using a number of gauge fields equal to the rank of the Lie algebra. We show how the theory can be truncated to describe a gauge theory of Ws gravity, and we give the explicit result for W3. We show that the transformations of the scalar fields can be interpreted as a non-linear realisation on the coset w~ +oo/w~.

We construct a higher-spin N = 2 superalgebra whose bosonic sector is W~o0)Wl+~. It can be realised in terms of bilinear currents involving free complex bosonic and fermionic fields. We also discuss the spectral flow, and various truncations.

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