  The physical states in a world-volume model of a non-critical 3-brane are
systematically constructed using techniques of four-dimensional conformal field
theories on R*S^3 developed recently. Invariant combinations of creation modes
under a special conformal transformation provide building blocks of physical
states. Any state can be created by acting with such building blocks on a
conformally invariant vacuum in an invariant way under the other conformal
charges: the Hamiltonian and rotation generators on S^3. We explicitly
construct building blocks for scalar, vector and gravitational fields, and
classify them as finite types.
