BUILDING BLOCKS OF PHYSICAL STATES IN A NONCRITICAL 3-BRANE ON R × S3

Abstract

The physical states in a worldvolume model of a noncritical 3-brane are systematically constructed using techniques of four-dimensional conformal field theories on R × S3 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 S3. We explicitly construct building blocks for scalar, vector and gravitational fields, and classify them as finite types.