Building Blocks of Physical States in a Non-Critical 3-Brane on R*S^3

Details Building Blocks of Physical States in a Non-Critical 3-Brane on R*S^3 Building Blocks of Physical States in a Non-Critical 3-Brane on R*S^3

2004-02-18

arxiv.org/abs/hep-th/0402136v2

Int.J.Mod.Phys. A20 (2005) 5353-5398

Physics

High Energy Physics

High Energy Physics - Theory

56 pages

Scientific paper

10.1142/S0217751X05024389

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.

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