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

Ken-ji Hamada
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Abstract

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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Ken-ji Hamada. 2004-02-20. Building Blocks of Physical States in a Non-Critical 3-Brane on R*S^3. https://doi.org/10.1142/s0217751x05024389

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