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An action principle is presented for Vasiliev's Bosonic higher spin gaugetheory in four spacetime dimensions. The action is of the form of a brokentopological field theory, and arises by an extension of the MacDowell-Mansouriformulation of general relativity. In the latter theory the local degrees offreedom of general relativity arise by breaking the gauge invariance of atopological theory from $sp(4)$ to the Lorentz algebra. In Vasiliev's theorythe infinite number of degrees of freedom with higher spins similarly arise bythe breaking of a topological theory with an infinite dimensional gaugesymmetry extending $sp(4)$ to the Lorentz algebra.  The Hamiltonian formulation of Vasilev's theory is then derived from ouraction, and it is shown that the Hamiltonian is a linear combination ofconstraints, as expected for a diffeomorphism invariant theory. The constraintalgebra is computed and found to be first class.

An action for higher spin gauge theory in four dimensions